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Alg 3/Trig Chapter 4 Test

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Last updated almost 6 years ago
15 questions
8
4
2
6
3
3
4
4
4
4
3
4
4
4
6
Question 1
1.

Find the inverse of the following function. Graph the function and the inverse. Determine the domain and range for the given function and inverse.

Question 2
2.

Graph the following function using a graphing utility and determine the domain and range.

Question 3
3.

Evaluate/Simplify each logarithm. Round to 3 decimal places when necessary.

Question 4
4.

Simplify each expression by writing as one logarithm.

Question 5
5.

Solve for x, round to 3 decimal places when necessary. You MUST show work to receive full credit. Circle final answer.

Question 6
6.

Solve for x, round to 3 decimal places where necessary. You MUST show work to receive full credit. Circle final answer.

Question 7
7.

Solve for x, round to 3 decimals when necessary. You MUST show work to received full credit. Circle final answer.

Question 8
8.

Solve for x, round to 3 decimals when necessary. You MUST show work to receive full credit. Circle your final answer.

Question 9
9.

Solve for x, round to 3 decimals when necessary. You MUST show work to receive full credit. Circle final answer.

Question 10
10.

Solve for x, round to 3 decimals when necessary. You MUST show work to receive full credit. Circle final answer.

Question 11
11.

Solve the following and round to 2 decimal places. You MUST show work to receive full credit.

Rachel is planning on saving money to help pay of her loans in the future. If she invests $6,000 now at 8% interest compounded monthly, how much will she have saved in 5 years?

Question 12
12.

Solve the following problem and round to 2 decimal places. You MUST show work to receive full credit.

Kevin is saving up to buy a new laptop that costs $1900. If he currently invests $1,675 at a rate of 6.5% compounded continuously, how long will it take him to save enough to buy the laptop?

Question 13
13.

Solve the following problem. Round to 2 decimal places. You MUST show work to receive full credit.

How long will it take for an investment to double in value if it earns 5.75% compounded continuously?

Question 14
14.

Solve the problem. Round to 2 decimal places. You MUST show work to receive full credit.

The population in the town of Tannersville is presently 37,300. The town grows at an annual rate of 1.2%. Find the number of years it takes for the population to grow to 52,000.

Question 15
15.

Solve the problem. You MUST show work to receive full credit.

The half-life of Cobalt-60 is given as approximately 5.25 years.
a) What is the constant rate of decay of Cobalt-60?
b) If 10 grams of Cobalt-60 are present now, how long will it take until only 75% of the original sample remains?