Find the inverse of the following function. Graph the function and the inverse. Determine the domain and range for the given function and inverse.
4 points
4
Question 2
2.
Graph the following function using a graphing utility and determine the domain and range.
2 points
2
Question 3
3.
Evaluate/Simplify each logarithm. Round to 3 decimal places when necessary.
6 points
6
Question 4
4.
Simplify each expression by writing as one logarithm.
3 points
3
Question 5
5.
Solve for x, round to 3 decimal places when necessary. You MUST show work to receive full credit. Circle final answer.
3 points
3
Question 6
6.
Solve for x, round to 3 decimal places where necessary. You MUST show work to receive full credit. Circle final answer.
4 points
4
Question 7
7.
Solve for x, round to 3 decimals when necessary. You MUST show work to received full credit. Circle final answer.
4 points
4
Question 8
8.
Solve for x, round to 3 decimals when necessary. You MUST show work to receive full credit. Circle your final answer.
4 points
4
Question 9
9.
Solve for x, round to 3 decimals when necessary. You MUST show work to receive full credit. Circle final answer.
4 points
4
Question 10
10.
Solve for x, round to 3 decimals when necessary. You MUST show work to receive full credit. Circle final answer.
3 points
3
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?
4 points
4
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?
4 points
4
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?
4 points
4
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.
6 points
6
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?