# Alg 2 Quiz 4.1

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| By Albert Melchor
A
Albert Melchor
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Quizzes Created: 17 | Total Attempts: 12,620
Questions: 25 | Attempts: 403

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

• 1.

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Not here

C.
• 2.

### Write the given logarithmic equation in exponential form.

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Correct exponential form is not here

A.
• 3.

### Condense the given logarithmic expression into a single logarithm.

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Correct form is not here

A.
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### Rewrite the logarithmic expression as a single logarithm.

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Correct form is not here

C.
• 5.

### Rewrite the exponential equation in logarithmic form.

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Correct form is not here

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 .

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Not here

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 .

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Not here

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.

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Not here

C.
• 9.

### Using the properties of logs, write in expanded form:

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Correct form is not here

C.
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Not here

A.
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B.
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A.
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A.
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C.
• 15.

### Write the given logarithmic equation in exponential form.

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

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• 16.

C.
• 17.

### Which function represents exponential decay?

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None of these is exponential decay

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?

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None of these is exponential growth

E. None of these is exponential growth
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C.
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D.
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A.
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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 .

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Not here

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 .

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Not here

A.

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• Current Version
• Mar 19, 2023
Quiz Edited by
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• Nov 21, 2016
Quiz Created by
Albert Melchor

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