| |
| |
1. |
Evaluate  . |
| |
|
A. |
-7 |
B. |
7 |
| |
|
C. |
 |
D. |
 |
| |
|
Hint |
|
| |
2. |
y = 2x is a(n)_____. |
| |
|
A. |
linear function |
B. |
polynomial function |
| |
|
C. |
power function |
D. |
exponential function |
| |
|
Hint |
|
| |
3. |
Write the equation  in logarithmic form. |
| |
|
A. |
 |
B. |
 |
| |
|
C. |
 |
D. |
 |
| |
|
Hint |
|
| |
4. |
Solve the equation log5 (3x + 9) = log5 (5x - 3). |
| |
|
A. |
3 |
B. |
6 |
| |
|
C. |
5 |
D. |
4 |
| |
|
Hint |
|
| |
5. |
Solve 6x - 2 = 4x by graphing. |
| |
|
A. |
8.84 |
B. |
7.48 |
| |
|
C. |
6.26 |
D. |
9.12 |
| |
|
Hint |
|
| |
6. |
Solve 9.4 = -12.5 ln x. |
| |
|
A. |
0.4714 |
B. |
0.3464 |
| |
|
C. |
0.2625 |
D. |
0.5219 |
| |
|
Hint |
|
| |
7. |
Evaluate ln 5. |
| |
|
A. |
2.1312 |
B. |
1.7918 |
| |
|
C. |
0.6690 |
D. |
1.6094 |
| |
|
Hint |
|
| |
8. |
Write the equation y = 15,000(1.02)x in terms of base e. |
| |
|
A. |
y = 15,000e0.0198x |
B. |
y = 15,000ex |
| |
|
C. |
y = 15,000(1.02)ln x |
D. |
y = 15,000(1.02)e ln x |
| |
|
Hint |
|
| |
9. |
Solve  . Round to the nearest tenth. |
| |
|
A. |
23,836.0 |
B. |
37.1 |
| |
|
C. |
38.4 |
D. |
25,165.3 |
| |
|
Hint |
|
| |
10. |
Which inequality represents the graph shown? |
| |
|
 |
| |
|
A. |
y > 3-x |
B. |
y > -3x |
| |
|
C. |
y < 3-x |
D. |
y < -3x |
| |
|
Hint |
|
| |
11. |
Compare the balance after 15 years of a $5,000 investment earning 7.12% interest compounded continuously to the same investment compounded semiannually. |
| |
|
A. |
You would earn $376.31 more by choosing the compounded continuously account. |
| |
|
B. |
You would earn $267.67 more by choosing the compounded continuously account. |
| |
|
C. |
You would earn $267.67 more by choosing the compounded annually account. |
| |
|
D. |
You would earn the same from both accounts. |
| |
|
Hint |
|
| |
12. |
The population of a certain city can be modeled by the equation
y = 22,219e0.027t, where t is the number of years since 1946. What was the population of that city in 1978? |
| |
|
A. |
52,718 |
B. |
40,243 |
| |
|
C. |
47,321 |
D. |
49,946 |
| |
|
Hint |
|
| |
13. |
Solve 7x = 6x + 2. |
| |
|
A. |
-23.2469 |
B. |
11.6234 |
| |
|
C. |
23.2469 |
D. |
-27.4312 |
| |
|
Hint |
|
| |
14. |
What interest rate is required for an investment with continuously compounded interest to double in 5 years? |
| |
|
A. |
13.86% |
B. |
3.47% |
| |
|
C. |
6.93% |
D. |
3.86% |
| |
|
Hint |
|
|
|