Business Math Study Guide Quiz

Explanation
Jenny needs to raise $1,150.00 for the national conference. She saves $25 per week from her babysitting job. To find out how many weeks she needs to save, we can divide the total amount needed by the amount she saves per week: $1,150.00 ÷ $25/week = 46 weeks. Therefore, Jenny needs to save for 46 weeks to raise enough money for the national conference in Washington, D.C.

Explanation
Tim and Mary budget 27% of their annual income for food. To find the monthly budget for food, we need to divide the annual income by 12 (months). Therefore, the monthly budget for food is $85,300 * 0.27 / 12 = $1,919.25.

Explanation
Tim and Mary budget 38% of their annual income for housing, including operating expenses and furnishings. Since their annual income is $85,300, the total amount they budget for one year for their housing is calculated by multiplying 38% by $85,300. This equals $32,414.00.

Explanation
The given information states that Tim and Mary Jones budget a certain percentage of their annual income for various expenses. The percentages mentioned are for food, housing, transportation, clothing, savings, and the remainder for emergencies and miscellaneous. Since it is mentioned that 12% is budgeted for savings, it can be inferred that the remaining percentage, which is 7%, is allocated for emergencies and miscellaneous.

Explanation
Jason's annual salary is $28,950. To find his monthly gross pay, we divide his annual salary by the number of months in a year, which is 12. Therefore, his monthly gross pay is $28,950 / 12 = $2,412.50.

Explanation
The employee's overtime rate can be calculated by multiplying the regular rate by 1.5. Therefore, the overtime rate would be $12.75 * 1.5 = $19.125. 

Explanation
The chain discount complement method is used to find the net-price rate when multiple discounts are offered in succession. In this case, a chain discount of 30% less 20% less 5% is given. To find the net-price rate, we first calculate the complement of each discount rate, which is the percentage of the original price that remains after each discount is applied. The complement of 30% is 70%, the complement of 20% is 80%, and the complement of 5% is 95%. We then multiply these complement rates together to find the net-price rate, which is 70% * 80% * 95% = 53.2%. Therefore, the correct answer is 53.2%.

Explanation
The monthly finance charge can be calculated by multiplying the average daily balance by the annual percentage rate and dividing by 12. In this case, the calculation would be (145.59 * 24) / 12 = 291.18 / 100 = $2.91.

Explanation
To calculate the proceeds, we use the formula: Proceeds = Principal - Interest. The interest can be calculated using the formula: Interest = Principal × Rate × Time, where Principal is the loan amount, Rate is the interest rate (as a decimal), and Time is the time period (in years). Substituting the given values: Interest = $1,500 × 0.1865 × (146/365) ≈ $13.45. Thus, Proceeds = $1,500 - $13.45 = $1,386.55.

Explanation
John Miller's total deduction from his weekly check can be calculated by adding up the amounts withheld for social security and Medicare taxes, state taxes, and federal taxes. The amount withheld for social security and Medicare taxes is 7.65% of his earnings, which is calculated by multiplying $469.55 by 0.0765. This equals $35.92. The amount withheld for state taxes is $9.13, and the amount withheld for federal taxes is $66.90. Adding these three amounts together gives a total deduction of $35.92 + $9.13 + $66.90 = $111.95. Therefore, the correct answer is $111.95.

Explanation
The retail price of the camera is $241.50. This can be calculated by adding the 15% markup to the wholesale price of $210. 15% of $210 is $31.50, so when this amount is added to the wholesale price, the total retail price is $241.50.

Explanation
To find the quotient of 3/5 divided by 1/2, we can use the rule that states "dividing by a fraction is the same as multiplying by its reciprocal." So, we can rewrite the division as 3/5 multiplied by 2/1. Multiplying the numerators gives us 6, and multiplying the denominators gives us 5. Therefore, the quotient is 6/5, which can be simplified to 1 1/5.

Explanation
The fractions are ordered from lowest to highest value. The fraction 1/8 is the smallest fraction, followed by 1/7, 1/6, 1/5, 1/4, 1/3, and 1/2, which is the largest fraction.

Explanation
The mean is calculated by adding up all the numbers and then dividing the sum by the total number of numbers. In this case, adding up 5.7, 6.3, 4.2, 5.8, and 3.4 gives a sum of 25.4. Since there are a total of 5 numbers, the mean is obtained by dividing 25.4 by 5, which equals 5.08.