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1. |
Evaluate  . |
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A. |
256 |
B. |
1024 |
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C. |
2048 |
D. |
512 |
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Hint |
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2. |
y = 2x is a(n)_____. |
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A. |
polynomial function |
B. |
exponential function |
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C. |
linear function |
D. |
power function |
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Hint |
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3. |
What is the y-intercept of the graph of y = 2x + 5? |
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A. |
(0, 32) |
B. |
(0, 5) |
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|
C. |
(0, 1) |
D. |
(0, 6) |
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Hint |
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4. |
Find the balance after 40 years of a $15,000 investment earning 9% interest compounded continuously. |
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A. |
$548,973.52 |
B. |
$567,451.29 |
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|
C. |
$541,649.63 |
D. |
$541,736.11 |
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Hint |
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5. |
Describe a situation that could be modeled by the equation A = 1000e0.08t. |
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A. |
the amount in an account after $8000 is invested at t% compounded continuously for 8 years |
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B. |
the amount in an account after $8000 is invested at 10% compounded continuously for t years |
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C. |
the amount in an account after $1000 is invested at 8% compounded continuously for t years |
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D. |
the amount in an account after $t is invested at 8% compounded continuously for 10 years |
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Hint |
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6. |
Write the equation  in logarithmic form. |
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A. |
 |
B. |
 |
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C. |
 |
D. |
 |
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Hint |
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7. |
Solve the equation log5 (3x + 9) = log5 (5x - 3). |
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A. |
5 |
B. |
6 |
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|
C. |
3 |
D. |
4 |
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Hint |
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8. |
Solve 54x = 72. |
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|
A. |
0.5139 |
B. |
0.3246 |
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|
C. |
0.6643 |
D. |
0.4217 |
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Hint |
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9. |
Evaluate antiln 2.9145. |
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A. |
18.4396 |
B. |
1.5914 |
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|
C. |
0.4646 |
D. |
1.0697 |
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Hint |
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10. |
Solve  Round to the nearest tenth. |
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|
A. |
37.2 |
B. |
153.2 |
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|
C. |
284.9 |
D. |
25.0 |
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Hint |
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11. |
Find the value of log9219 using the change of base formula. |
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A. |
2.4527 |
B. |
0.2601 |
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C. |
3.1021 |
D. |
1.3862 |
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Hint |
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12. |
Convert log4364 to a natural logarithm and evaluate. |
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A. |
4.2539 |
B. |
4.4889 |
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|
C. |
4.2559 |
D. |
0.2351 |
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Hint |
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13. |
What interest rate is required for an investment with continuously compounded interest to double in 5 years? |
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A. |
13.86% |
B. |
6.93% |
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C. |
3.86% |
D. |
3.47% |
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Hint |
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14. |
If the population of a city can be modeled by the equation y = 12,500(1.03) x, where x is the number of years since 1965, what is the estimated population in 2006? |
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A. |
38, 611 |
B. |
549,464 |
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C. |
41,999 |
D. |
45,100 |
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Hint |
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