| |
| |
1. |
For the graph of y = bx, the domain is _____. |
| |
|
A. |
all real numbers  |
B. |
all real numbers > 0 |
| |
|
C. |
all real numbers |
D. |
all real numbers  |
| |
|
Hint |
|
| |
2. |
Find the balance after 40 years of a $15,000 investment earning 9% interest compounded continuously. |
| |
|
A. |
$567,451.29 |
B. |
$541,649.63 |
| |
|
C. |
$548,973.52 |
D. |
$541,736.11 |
| |
|
Hint |
|
| |
3. |
Evaluate the expression  . |
| |
|
A. |
 |
B. |
 |
| |
|
C. |
-3 |
D. |
3 |
| |
|
Hint |
|
| |
4. |
Given that log 5 = 0.6990, evaluate log 5000. |
| |
|
A. |
5.6990 |
B. |
3.6990 |
| |
|
C. |
2.6990 |
D. |
4.6990 |
| |
|
Hint |
|
| |
5. |
Solve the equation 34x = 8x - 5 by using natural logarithms. |
| |
|
A. |
-3.4271 |
B. |
-4.3150 |
| |
|
C. |
-4.4912 |
D. |
-2.9412 |
| |
|
Hint |
|
| |
6. |
Evaluate antiln 2.9145. |
| |
|
A. |
18.4396 |
B. |
1.0697 |
| |
|
C. |
1.5914 |
D. |
0.4646 |
| |
|
Hint |
|
| |
7. |
Solve  . Round to the nearest tenth. |
| |
|
A. |
37.1 |
B. |
25,165.3 |
| |
|
C. |
23,836.0 |
D. |
38.4 |
| |
|
Hint |
|
| |
8. |
Express  using rational exponents. |
| |
|
A. |
 |
B. |
 |
| |
|
C. |
 |
D. |
 |
| |
|
Hint |
|
| |
9. |
Which inequality represents the graph shown? |
| |
|
 |
| |
|
A. |
y  2x - 3 |
B. |
y > 2x + 3 |
| |
|
C. |
y  2x - 3 |
D. |
y < 2x + 3 |
| |
|
Hint |
|
| |
10. |
Find the balance of a $5,000 investment after 10 years earning 6.75% interest compounded continuously. |
| |
|
A. |
$9,820.16 |
B. |
$5,349.15 |
| |
|
C. |
$5,033.86 |
D. |
$10,033.86 |
| |
|
Hint |
|
| |
11. |
Evaluate the expression  |
| |
|
A. |
3 |
B. |
 |
| |
|
C. |
-3 |
D. |
|
| |
|
Hint |
|
| |
12. |
Evaluate log(6(3)-4) |
| |
|
A. |
2.6355 |
B. |
2.6866 |
| |
|
C. |
-5.0211 |
D. |
-1.1303 |
| |
|
Hint |
|
| |
13. |
What interest rate is required for an investment with continuously compounded interest to double in 5 years? |
| |
|
A. |
3.86% |
B. |
13.86% |
| |
|
C. |
6.93% |
D. |
3.47% |
| |
|
Hint |
|
| |
14. |
The number of bacteria in a culture can be modeled by the exponential function N = 6.5828(1.1769)t, where t is the number of hours. What will the number of bacteria be in 19 hours? Round to nearest whole number. |
| |
|
A. |
121 |
B. |
203 |
| |
|
C. |
145 |
D. |
177 |
| |
|
Hint |
|
|
|