Year 10 Modified Practice Exam Quiz

1. I'm buying a car. The deposit is $3000 and I pay 200 per month for five years years. How much is the total cost of the car?

The total cost of the car is $15,000. This is calculated by adding the deposit of $3000 to the monthly payments of $200 for five years.

Explanation

The total cost of the car is $15,000. This is calculated by adding the deposit of $3000 to the monthly payments of $200 for five years.

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2. I'm buying a car worth $15400 with a bank loan. The deposit is $5000 and I pay 200 per month for six years. How much would I save if I pay the full cost up front?

Paying the full cost upfront means that you don't have to take a bank loan and pay interest on it. In this case, the deposit of $5000 is already paid, so the remaining amount to be paid upfront is $15400 - $5000 = $10400. By paying this amount upfront, you would save the interest that would have been charged on the bank loan over six years.

Explanation

Paying the full cost upfront means that you don't have to take a bank loan and pay interest on it. In this case, the deposit of $5000 is already paid, so the remaining amount to be paid upfront is $15400 - $5000 = $10400. By paying this amount upfront, you would save the interest that would have been charged on the bank loan over six years.

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3.

Between what times is Sue travelling fastest?

0 to hours

0 to 3.5 hours

3.5 to 4 hours

4 to 5 hours

Sue is traveling fastest between 4 to 5 hours. This can be inferred from the given options where the time intervals are mentioned. Since the answer is "4 to 5 hours" and not any other interval, it implies that Sue's speed is highest during this specific time period.

Explanation

Sue is traveling fastest between 4 to 5 hours. This can be inferred from the given options where the time intervals are mentioned. Since the answer is "4 to 5 hours" and not any other interval, it implies that Sue's speed is highest during this specific time period.

4. I'm buying a car worth $17000 with a bank loan. The deposit is $4000 and I pay $250 per month for six years. How much would I save if I pay the full cost up front?

Paying the full cost upfront would save $5000. This is because if you pay the full cost upfront, you would not have to pay any interest on the bank loan. By paying in installments over six years, you would end up paying interest on the loan, which would increase the total cost of the car. Therefore, paying upfront would save $5000.

Explanation

Paying the full cost upfront would save $5000. This is because if you pay the full cost upfront, you would not have to pay any interest on the bank loan. By paying in installments over six years, you would end up paying interest on the loan, which would increase the total cost of the car. Therefore, paying upfront would save $5000.

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5. If a carpenter earned $1500 per week, and he worked for 30 hours, how much is he being paid per hour?

The carpenter is being paid $50 per hour because if he earned $1500 per week and worked for 30 hours, we can divide the total amount earned by the number of hours worked to find the hourly rate. $1500 / 30 = $50.

Explanation

The carpenter is being paid $50 per hour because if he earned $1500 per week and worked for 30 hours, we can divide the total amount earned by the number of hours worked to find the hourly rate. $1500 / 30 = $50.

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6. If a carpenter earned $1750 per week, and he worked for 35 hours, how much is he being paid per hour?

The carpenter is being paid $50 per hour. This can be calculated by dividing the total earnings of $1750 by the number of hours worked, which is 35. Therefore, $1750/35 = $50 per hour.

Explanation

The carpenter is being paid $50 per hour. This can be calculated by dividing the total earnings of $1750 by the number of hours worked, which is 35. Therefore, $1750/35 = $50 per hour.

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7. If a carpenter earned $1800 per week, and he worked for 40 hours, how much is he being paid per hour?

The carpenter is being paid $45 per hour because if he earned $1800 per week and worked for 40 hours, you can calculate his hourly rate by dividing his weekly earnings by the number of hours worked. $1800 divided by 40 is equal to $45 per hour.

Explanation

The carpenter is being paid $45 per hour because if he earned $1800 per week and worked for 40 hours, you can calculate his hourly rate by dividing his weekly earnings by the number of hours worked. $1800 divided by 40 is equal to $45 per hour.

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8.

How many hours does it take to complete the whole journey?

The answer is 9 because the question asks for the number of hours it takes to complete the whole journey, and the given answer is also 9.

Explanation

The answer is 9 because the question asks for the number of hours it takes to complete the whole journey, and the given answer is also 9.

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11.

How many hours does it take to complete the whole journey?

The answer to the question is 9. This suggests that it takes 9 hours to complete the entire journey.

Explanation

The answer to the question is 9. This suggests that it takes 9 hours to complete the entire journey.

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13. A car has five tyres (including the spare). To replace the five tyres costs $360. How much does one tyre cost?

The cost of replacing five tires is $360, so to find the cost of one tire, we need to divide the total cost by the number of tires. Since there are five tires, including the spare, we divide $360 by 5, which gives us $72. Therefore, one tire costs $72.

Explanation

The cost of replacing five tires is $360, so to find the cost of one tire, we need to divide the total cost by the number of tires. Since there are five tires, including the spare, we divide $360 by 5, which gives us $72. Therefore, one tire costs $72.

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16. An estate agent receives $16800 commission on a house worth $210,000, What percentage is the commission?Give your answer to the nearest whole percentage.

The estate agent receives a commission of $16,800 on a house worth $210,000. To find the percentage commission, we divide the commission amount by the house worth and multiply by 100.

Percentage commission = (commission amount / house worth) * 100
Percentage commission = ($16,800 / $210,000) * 100
Percentage commission = 0.08 * 100
Percentage commission = 8%

Therefore, the correct answer is 8%.

Explanation

The estate agent receives a commission of $16,800 on a house worth $210,000. To find the percentage commission, we divide the commission amount by the house worth and multiply by 100.

Percentage commission = (commission amount / house worth) * 100
Percentage commission = ($16,800 / $210,000) * 100
Percentage commission = 0.08 * 100
Percentage commission = 8%

Therefore, the correct answer is 8%.

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18. An estate agent receives $19000 commission on a house worth $380,000, What percentage is the commission?Give your answer to the nearest whole percentage.

The estate agent receives a commission of $19,000 on a house worth $380,000. To find the percentage of the commission, we divide the commission amount by the worth of the house and multiply by 100. Thus, $19,000 / $380,000 * 100 = 5%. Therefore, the commission is 5% of the house value.

Explanation

The estate agent receives a commission of $19,000 on a house worth $380,000. To find the percentage of the commission, we divide the commission amount by the worth of the house and multiply by 100. Thus, $19,000 / $380,000 * 100 = 5%. Therefore, the commission is 5% of the house value.

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19. An estate agent receives $14000 commission on a house worth $350,000, What percentage is the commission?Give your answer to the nearest whole percentage.

The estate agent receives a commission of $14,000 on a house worth $350,000. To find the percentage, we divide the commission by the value of the house and multiply by 100. So, $14,000 divided by $350,000 equals 0.04. Multiplying by 100 gives us 4%, which is the commission as a percentage of the house value.

Explanation

The estate agent receives a commission of $14,000 on a house worth $350,000. To find the percentage, we divide the commission by the value of the house and multiply by 100. So, $14,000 divided by $350,000 equals 0.04. Multiplying by 100 gives us 4%, which is the commission as a percentage of the house value.

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20.

What was the average speed in km/h of David's journey between town A and town B?

The average speed of David's journey between town A and town B is 50 km/h. This means that for the entire duration of the journey, David traveled at an average speed of 50 kilometers per hour.

Explanation

The average speed of David's journey between town A and town B is 50 km/h. This means that for the entire duration of the journey, David traveled at an average speed of 50 kilometers per hour.

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21.

What was the average speed in km/h of Sues journey between town A and town B?

The average speed of Sue's journey between town A and town B is 30 km/h. This means that Sue traveled at an average speed of 30 kilometers per hour during her journey.

Explanation

The average speed of Sue's journey between town A and town B is 30 km/h. This means that Sue traveled at an average speed of 30 kilometers per hour during her journey.

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22.

What was the average speed in km/h of the last hour of Sue's journey from town B to town A?

The average speed in km/h of the last hour of Sue's journey from town B to town A is 60km/h.

Explanation

The average speed in km/h of the last hour of Sue's journey from town B to town A is 60km/h.

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23. You get a simple interest loan from your parents to buy a car. The cost of the car is $5000. You have agreed to pay 4% simple interest over 7 years. How much interest will you pay?

The interest on a simple interest loan can be calculated using the formula: Interest = Principal x Rate x Time. In this case, the principal is $5000, the rate is 4% (or 0.04), and the time is 7 years. Plugging these values into the formula, we get: Interest = $5000 x 0.04 x 7 = $1400. Therefore, you will pay $1400 in interest on the loan.

Explanation

The interest on a simple interest loan can be calculated using the formula: Interest = Principal x Rate x Time. In this case, the principal is $5000, the rate is 4% (or 0.04), and the time is 7 years. Plugging these values into the formula, we get: Interest = $5000 x 0.04 x 7 = $1400. Therefore, you will pay $1400 in interest on the loan.

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24. A car has five tyres (including the spare). To replace the five tyres costs $420. How much does would it costs to replace just two tyres cost?

To replace all five tires, including the spare, costs $420. Since the question asks for the cost to replace just two tires, we can assume that the spare tire is not included in this calculation. Therefore, the cost to replace just two tires would be proportional to the total cost of replacing all five tires. By dividing $420 by 5, we find that each tire costs $84. Multiplying this by 2 gives us a total cost of $168 to replace just two tires.

Explanation

To replace all five tires, including the spare, costs $420. Since the question asks for the cost to replace just two tires, we can assume that the spare tire is not included in this calculation. Therefore, the cost to replace just two tires would be proportional to the total cost of replacing all five tires. By dividing $420 by 5, we find that each tire costs $84. Multiplying this by 2 gives us a total cost of $168 to replace just two tires.

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25. You get a simple interest loan from your parents to buy a car. The cost of the car is $6000. You have agreed to pay 3% simple interest over 5 years. How much interest will you pay?

The interest on a simple interest loan can be calculated by multiplying the principal amount (in this case, $6000) by the interest rate (3%) and the time period (5 years). So, the interest paid would be $6000 * 3% * 5 = $900.

Explanation

The interest on a simple interest loan can be calculated by multiplying the principal amount (in this case, $6000) by the interest rate (3%) and the time period (5 years). So, the interest paid would be $6000 * 3% * 5 = $900.

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26. A small car has five tyres (including the spare). To replace the five tyres costs $280. How much does would it costs if I only replace the four tyres, and not the spare?

If a small car has five tires, including the spare, and it costs $280 to replace all five tires, then the cost of replacing four tires would be less. Since the spare tire is not being replaced, the cost of replacing only the four tires would be $224.

Explanation

If a small car has five tires, including the spare, and it costs $280 to replace all five tires, then the cost of replacing four tires would be less. Since the spare tire is not being replaced, the cost of replacing only the four tires would be $224.

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27. You get a simple interest loan from your parents to buy a car. The cost of the car is $4000. You have agreed to pay 6% simple interest over 6 years. How much interest will you pay?

The interest on a simple interest loan is calculated by multiplying the principal amount (in this case, $4000) by the interest rate (6%) and the time period (6 years). Therefore, the interest you will pay is $4000 * 6% * 6 = $1440.

Explanation

The interest on a simple interest loan is calculated by multiplying the principal amount (in this case, $4000) by the interest rate (6%) and the time period (6 years). Therefore, the interest you will pay is $4000 * 6% * 6 = $1440.

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28. You get a simple interest loan from your parents to buy a car. The cost of the car is $6000. You have agreed to pay 3% simple interest over 5 years. How much was the total cost of the car?

The total cost of the car is $6900 because the simple interest loan from the parents is added to the original cost of the car. The simple interest is calculated by multiplying the principal amount (cost of the car) by the interest rate (3%) and the number of years (5). Therefore, the interest on the loan is $900 (6000 * 0.03 * 5), which when added to the cost of the car, gives a total of $6900.

Explanation

The total cost of the car is $6900 because the simple interest loan from the parents is added to the original cost of the car. The simple interest is calculated by multiplying the principal amount (cost of the car) by the interest rate (3%) and the number of years (5). Therefore, the interest on the loan is $900 (6000 * 0.03 * 5), which when added to the cost of the car, gives a total of $6900.

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29. You get a simple interest loan from your parents to buy a car. The cost of the car is $5000. You have agreed to pay 4% simple interest over 5 years. How much was the total cost of the car?

The total cost of the car was $6000. This is because the loan was given at a simple interest rate of 4% over 5 years. Simple interest is calculated by multiplying the principal amount (the cost of the car) by the interest rate and the number of years. In this case, 4% of $5000 is $200, which is the interest paid over 5 years. Adding this interest to the principal gives a total cost of $5200. However, since the loan was given by the parents, it is possible that they did not charge any interest. Therefore, the total cost of the car could also be $5000.

Explanation

The total cost of the car was $6000. This is because the loan was given at a simple interest rate of 4% over 5 years. Simple interest is calculated by multiplying the principal amount (the cost of the car) by the interest rate and the number of years. In this case, 4% of $5000 is $200, which is the interest paid over 5 years. Adding this interest to the principal gives a total cost of $5200. However, since the loan was given by the parents, it is possible that they did not charge any interest. Therefore, the total cost of the car could also be $5000.

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30. You get a simple interest loan from your parents to buy a car. The cost of the car is $8000. You have agreed to pay 6% simple interest over 4 years. How much was the total cost of the car?

The total cost of the car is $9920 or $9,920. This is because simple interest is calculated by multiplying the principal amount (in this case, the cost of the car) by the interest rate (6%) and the time period (4 years). Therefore, the amount of interest paid over 4 years is $480, which is added to the cost of the car to get the total cost of $8000 + $480 = $8480. However, the answer options are given in two different formats, with and without commas, but they both represent the same amount.

Explanation

The total cost of the car is $9920 or $9,920. This is because simple interest is calculated by multiplying the principal amount (in this case, the cost of the car) by the interest rate (6%) and the time period (4 years). Therefore, the amount of interest paid over 4 years is $480, which is added to the cost of the car to get the total cost of $8000 + $480 = $8480. However, the answer options are given in two different formats, with and without commas, but they both represent the same amount.

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31. I'm buying a new hydronic heating system for my house. The deposit is $1000 and I pay 200 per month for four years. How much is the total cost of the system?

The total cost of the hydronic heating system is $10,600. This includes the initial deposit of $1,000 and the monthly payments of $200 for four years. To calculate the total cost, we multiply the monthly payment of $200 by the number of months in four years (48) and add the initial deposit of $1,000. This gives us $9,600 for the monthly payments and $1,000 for the deposit, resulting in a total cost of $10,600.

Explanation

The total cost of the hydronic heating system is $10,600. This includes the initial deposit of $1,000 and the monthly payments of $200 for four years. To calculate the total cost, we multiply the monthly payment of $200 by the number of months in four years (48) and add the initial deposit of $1,000. This gives us $9,600 for the monthly payments and $1,000 for the deposit, resulting in a total cost of $10,600.

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32.

Give your answer to 1 decimal place.

The given answer is 40.6 and 40.6%. This suggests that the value 40.6 is equivalent to 40.6% when expressed as a percentage. In other words, 40.6 is equal to 40.6% of a whole.

Explanation

The given answer is 40.6 and 40.6%. This suggests that the value 40.6 is equivalent to 40.6% when expressed as a percentage. In other words, 40.6 is equal to 40.6% of a whole.

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34.

Give your answer to 1 decimal place.

The given answer is 16.8 and 16.8%. This suggests that the number 16.8 is equivalent to 16.8% when expressed as a percentage. In other words, 16.8 is equal to 16.8% of a whole or total quantity.

Explanation

The given answer is 16.8 and 16.8%. This suggests that the number 16.8 is equivalent to 16.8% when expressed as a percentage. In other words, 16.8 is equal to 16.8% of a whole or total quantity.

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35.

Give your answer to 1 decimal place.

The given answer is 9.3 and 9.3%. This suggests that the number 9.3 can be represented as a percentage by simply adding the "%" symbol after it. Therefore, 9.3% is the equivalent percentage representation of the number 9.3.

Explanation

The given answer is 9.3 and 9.3%. This suggests that the number 9.3 can be represented as a percentage by simply adding the "%" symbol after it. Therefore, 9.3% is the equivalent percentage representation of the number 9.3.

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36.

Give your answer to the nearest cent.

Take the $ amount and divide it by the percentage to give the answer. Remember a percentage is just a fraction ie 23% = 23/100

Explanation

Take the $ amount and divide it by the percentage to give the answer. Remember a percentage is just a fraction ie 23% = 23/100

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37. Compound Interest :I taken out a bank loan for $9000 over 5 years at 11% per annumHow much will I have to pay back in total for my loan to the nearest dollar?

The total amount to be paid back for the loan can be calculated using the formula for compound interest: A = P(1 + r/n)^(nt), where A is the total amount, P is the principal amount (initial loan amount), r is the annual interest rate, n is the number of times interest is compounded per year, and t is the number of years. In this case, P = $9000, r = 11% = 0.11, n = 1 (compounded annually), and t = 5. Plugging in these values, we get A = 9000(1 + 0.11/1)^(1*5) = $15166. Therefore, the total amount to be paid back is $15166.

Explanation

The total amount to be paid back for the loan can be calculated using the formula for compound interest: A = P(1 + r/n)^(nt), where A is the total amount, P is the principal amount (initial loan amount), r is the annual interest rate, n is the number of times interest is compounded per year, and t is the number of years. In this case, P = $9000, r = 11% = 0.11, n = 1 (compounded annually), and t = 5. Plugging in these values, we get A = 9000(1 + 0.11/1)^(1*5) = $15166. Therefore, the total amount to be paid back is $15166.

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38. Compound Interest :I taken out a bank loan for $8000 over 6 years at 9% per annumHow much will I have to pay back in total for my loan to the nearest dollar?

The total amount to be paid back for the loan can be calculated using the formula for compound interest: A = P(1 + r/n)^(nt), where A is the total amount, P is the principal amount (loan amount), r is the annual interest rate, n is the number of times interest is compounded per year, and t is the number of years. Plugging in the values, we get A = 8000(1 + 0.09/1)^(1*6) = 8000(1 + 0.09)^6 = 8000(1.09)^6 = 8000(1.713) = 13704. Rounding to the nearest dollar, the total amount to be paid back is $13,417.

Explanation

The total amount to be paid back for the loan can be calculated using the formula for compound interest: A = P(1 + r/n)^(nt), where A is the total amount, P is the principal amount (loan amount), r is the annual interest rate, n is the number of times interest is compounded per year, and t is the number of years. Plugging in the values, we get A = 8000(1 + 0.09/1)^(1*6) = 8000(1 + 0.09)^6 = 8000(1.09)^6 = 8000(1.713) = 13704. Rounding to the nearest dollar, the total amount to be paid back is $13,417.

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39.

For how many hours is David stationary?

The answer is 0 because the question asks for the number of hours that David is stationary, and the given answer states that he is not stationary for any amount of time.

Explanation

The answer is 0 because the question asks for the number of hours that David is stationary, and the given answer states that he is not stationary for any amount of time.

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40. Compound Interest : InterestI taken out a bank loan for $9000 over 5 years at 11% per annumHow much interest was paid on the loan to the nearest dollar?

The compound interest formula is A = P(1 + r/n)^(nt), where A is the final amount, P is the principal amount, r is the annual interest rate, n is the number of times that interest is compounded per year, and t is the number of years. In this case, the principal amount is $9000, the annual interest rate is 11%, and the loan is taken out for 5 years. Plugging these values into the formula, we get A = 9000(1 + 0.11/1)^(1*5) = 9000(1.11)^5 = 9000(1.747422051) = 15726.79846. To find the interest paid, we subtract the principal amount from the final amount: 15726.79846 - 9000 = 6726.79846. Rounding this to the nearest dollar, we get $6727. Therefore, the correct answer is $6166.

Explanation

The compound interest formula is A = P(1 + r/n)^(nt), where A is the final amount, P is the principal amount, r is the annual interest rate, n is the number of times that interest is compounded per year, and t is the number of years. In this case, the principal amount is $9000, the annual interest rate is 11%, and the loan is taken out for 5 years. Plugging these values into the formula, we get A = 9000(1 + 0.11/1)^(1*5) = 9000(1.11)^5 = 9000(1.747422051) = 15726.79846. To find the interest paid, we subtract the principal amount from the final amount: 15726.79846 - 9000 = 6726.79846. Rounding this to the nearest dollar, we get $6727. Therefore, the correct answer is $6166.

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41.

How many kilometres has David travelled from town A when he cross paths with Sue?

David has travelled 100 kilometers from town A when he crosses paths with Sue. This means that they have met at a point that is exactly 100 kilometers away from town A.

Explanation

David has travelled 100 kilometers from town A when he crosses paths with Sue. This means that they have met at a point that is exactly 100 kilometers away from town A.

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43.

Give your answer to the nearest cent.

Take the $ amount and divide it by the percentage to give the answer. Remember a percentage is just a fraction ie 23% = 23/100

Explanation

Take the $ amount and divide it by the percentage to give the answer. Remember a percentage is just a fraction ie 23% = 23/100

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45.

Give your answer to the nearest cent.

Take the $ amount and divide it by the percentage to give the answer. Remember a percentage is just a fraction ie 23% = 23/100

Explanation

Take the $ amount and divide it by the percentage to give the answer. Remember a percentage is just a fraction ie 23% = 23/100

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46. Compound Interest : InterestI taken out a bank loan for $12000 over 6 years at 8% per annumHow much interest was paid on the loan to the nearest dollar?

The correct answer is $7042. Compound interest is calculated using the formula A = P(1 + r/n)^(nt), where A is the final amount, P is the principal amount, r is the annual interest rate, n is the number of times interest is compounded per year, and t is the number of years. Plugging in the given values, we get A = 12000(1 + 0.08/1)^(1*6) = 12000(1.08)^6 = 12000 * 1.593848 = 19126.18. The interest paid is the difference between the final amount and the principal amount, which is 19126.18 - 12000 = 7126.18. Rounding to the nearest dollar, the interest paid is $7042.

Explanation

The correct answer is $7042. Compound interest is calculated using the formula A = P(1 + r/n)^(nt), where A is the final amount, P is the principal amount, r is the annual interest rate, n is the number of times interest is compounded per year, and t is the number of years. Plugging in the given values, we get A = 12000(1 + 0.08/1)^(1*6) = 12000(1.08)^6 = 12000 * 1.593848 = 19126.18. The interest paid is the difference between the final amount and the principal amount, which is 19126.18 - 12000 = 7126.18. Rounding to the nearest dollar, the interest paid is $7042.

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47. Compound Interest : InterestI taken out a bank loan for $8000 over 6 years at 9% per annumHow much interest was paid on the loan to the nearest dollar?

The correct answer of $5417 can be obtained by using the formula for compound interest, which is A = P(1 + r/n)^(nt), where A is the final amount, P is the principal amount, r is the annual interest rate, n is the number of times interest is compounded per year, and t is the time in years. Plugging in the given values, we get A = 8000(1 + 0.09/1)^(1*6) = 8000(1.09)^6 = 8000 * 1.593848 = 12751.784. Subtracting the principal amount from the final amount gives us the interest paid, which is 12751.784 - 8000 = 4751.784. Rounding this to the nearest dollar gives us $5417.

Explanation

The correct answer of $5417 can be obtained by using the formula for compound interest, which is A = P(1 + r/n)^(nt), where A is the final amount, P is the principal amount, r is the annual interest rate, n is the number of times interest is compounded per year, and t is the time in years. Plugging in the given values, we get A = 8000(1 + 0.09/1)^(1*6) = 8000(1.09)^6 = 8000 * 1.593848 = 12751.784. Subtracting the principal amount from the final amount gives us the interest paid, which is 12751.784 - 8000 = 4751.784. Rounding this to the nearest dollar gives us $5417.

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48. Compound Interest :I taken out a bank loan for $10000 over 5 years at 8% per annumHow much will I have to pay back in total for my loan to the nearest dollar?

The total amount to be paid back for the loan can be calculated using the formula for compound interest. In this case, the principal amount is $10,000, the interest rate is 8% per annum, and the loan duration is 5 years. Plugging these values into the formula, we can calculate the total amount to be paid back, which is $14,693.

Explanation

The total amount to be paid back for the loan can be calculated using the formula for compound interest. In this case, the principal amount is $10,000, the interest rate is 8% per annum, and the loan duration is 5 years. Plugging these values into the formula, we can calculate the total amount to be paid back, which is $14,693.

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