Alg 2 Quiz 4.1

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| By Albert Melchor

Albert Melchor

Community Contributor

Quizzes Created: 17 | Total Attempts: 12,345

Questions: 25 | Attempts: 393 | Updated: Mar 19, 2023

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Sections 4-1, 4-3, and 4-4

Questions and Answers

1.

Write in logarithmic form
- A.
- B.
- C.
- D.
  
  Not here
Correct Answer
C.
2.

Write the given logarithmic equation in exponential form.
- A.
- B.
- C.
- D.
  
  Correct exponential form is not here
Correct Answer
A.
3.

Condense the given logarithmic expression into a single logarithm.
- A.
- B.
- C.
- D.
  
  Correct form is not here
Correct Answer
A.
4.

Rewrite the logarithmic expression as a single logarithm.
- A.
- B.
- C.
- D.
  
  Correct form is not here
Correct Answer
C.
5.

Rewrite the exponential equation in logarithmic form.
- A.
- B.
- C.
- D.
  
  Correct form is not here
Correct Answer
B.
6.

The Allen Electric Company has a piece of machinery valued at $60,000. It depreciates at 20% per year. After how many years will the value have depreciated to $15,000? Use .
- A.
- B.
- C.
- D.
  
  Not here
Correct Answer
A.

Explanation
The value of the machinery depreciates at a rate of 20% per year. This means that each year, the value decreases by 20% of its current value. To find out how many years it will take for the value to depreciate to $15,000, we can set up an equation. Let "x" represent the number of years. The equation would be: $60,000 - (20% * $60,000 * x) = $15,000. By solving this equation, we can find the value of "x" which represents the number of years it will take for the machinery to depreciate to $15,000.

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7.

The Allen Electric Company has a piece of machinery valued at $45,000. It depreciates at 20% per year. After how many years will the value have depreciated to $15,000? Use .
- A.
- B.
- C.
- D.
  
  Not here
Correct Answer
B.

Explanation
The value of the machinery depreciates at a rate of 20% per year. To find out how many years it will take for the value to depreciate to $15,000, we can set up the equation: $45,000 - (20% * $45,000 * x) = $15,000, where x represents the number of years. Simplifying the equation, we get $45,000 - (0.2 * $45,000 * x) = $15,000. Further simplifying, we have $45,000 - $9,000x = $15,000. Solving for x, we find that it will take 3 years for the value to depreciate to $15,000.

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8.

Using the properties of logs, write in expanded form:
- A.
- B.
- C.
- D.
  
  Not here
Correct Answer
C.
9.

Using the properties of logs, write in expanded form:
- A.
- B.
- C.
- D.
  
  Correct form is not here
Correct Answer
C.
10.

Express as a single logarithm:
- A.
- B.
- C.
- D.
  
  Not here
Correct Answer
A.
11.

Write the given exponential equation in logarithmic form.
- A.
- B.
- C.
Correct Answer
B.
12.

Write the given exponential equation in logarithmic form.
- A.
- B.
- C.
Correct Answer
A.
13.

Write the given exponential equation in logarithmic form.
- A.
- B.
- C.
Correct Answer
A.
14.

Write the given logarithmic equation in exponential form.
- A.
- B.
- C.
Correct Answer
C.
15.

Write the given logarithmic equation in exponential form.
- A.
- B.
- C.
Correct Answer
B.

Explanation
The given logarithmic equation can be written in exponential form as follows: base^exponent = result.

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16.

23. Write the given logarithmic equation in exponential form.
- A.
- B.
- C.
Correct Answer
C.
17.

Which function represents exponential decay?
- A.
- B.
- C.
- D.
- E.
  
  None of these is exponential decay
Correct Answer
B.

Explanation
Exponential decay is a mathematical function that describes a process in which a quantity decreases exponentially over time. In this case, the given answer states that none of the functions represent exponential decay. This suggests that there are no options provided that accurately represent the behavior of exponential decay.

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18.

Which function represents exponential growth?
- A.
- B.
- C.
- D.
- E.
  
  None of these is exponential growth
Correct Answer
E. None of these is exponential growth
19.

Which ordered pair lies on the graph ?
- A.
- B.
- C.
- D.
Correct Answer
A.
20.

Rewrite the given logarithmic expression as a single logarithm.
- A.
- B.
- C.
- D.
Correct Answer
C.
21.

The expression can be written as:
- A.
- B.
- C.
- D.
Correct Answer
D.
22.

If , then is equivalent to:
- A.
- B.
- C.
- D.
Correct Answer
A.
23.

The expression can be written as the single logarithm:
- A.
- B.
- C.
- D.
Correct Answer
C.
24.

Tony purchased a rare 1959 Gibson Les Paul guitar in 2000 for $12,000. Experts estimate that its value will increase by 12% per year. After how many years will the value have increased to $40,000? Use .
- A.
- B.
- C.
- D.
  
  Not here
Correct Answer
A.

Explanation
The value of the guitar increases by 12% each year, which means it grows by 0.12 times its previous value. To find the number of years it takes for the value to reach $40,000, we can set up the equation: $12,000 * (1 + 0.12)^n = $40,000. Solving for n, we find that it will take approximately 11.5 years for the value to increase to $40,000.

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25.

Tonya invests $5000 in an account that pays 5% interest per year. After how many years will her investment be worth $8000? Use .
- A.
- B.
- C.
- D.
  
  Not here
Correct Answer
A.