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1. |
Simplify  . |
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A. |
9s2|t|5 |
B. |
3s2|t|3 |
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C. |
3|s|t4 |
D. |
3s2|t|5 |
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Hint |
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2. |
Evaluate  . |
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A. |
2 |
B. |
3 |
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C. |
8 |
D. |
4 |
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Hint |
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3. |
Describe a situation that could be modeled by the equation A = 1000e0.08t. |
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A. |
the amount in an account after $1000 is invested at 8% compounded continuously for t years |
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B. |
the amount in an account after $t is invested at 8% compounded continuously for 10 years |
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C. |
the amount in an account after $8000 is invested at 10% compounded continuously for t years |
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D. |
the amount in an account after $8000 is invested at t% compounded continuously for 8 years |
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Hint |
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4. |
Solve the equation log5 (3x + 9) = log5 (5x - 3). |
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A. |
5 |
B. |
4 |
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C. |
3 |
D. |
6 |
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Hint |
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5. |
Evaluate  . |
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A. |
3.0893 |
B. |
3.5121 |
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C. |
3.6444 |
D. |
4.2934 |
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Hint |
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6. |
Find the value of log2 235 using the change of base formula. |
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A. |
6.4121 |
B. |
7.2314 |
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C. |
6.8218 |
D. |
7.8765 |
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Hint |
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7. |
Solve the equation 34x = 8x - 5 by using natural logarithms. |
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A. |
-3.4271 |
B. |
-4.4912 |
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C. |
-4.3150 |
D. |
-2.9412 |
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Hint |
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8. |
Write the equation y = 15,000(1.02)x in terms of base e. |
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A. |
y = 15,000e0.0198x |
B. |
y = 15,000ex |
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C. |
y = 15,000(1.02)ln x |
D. |
y = 15,000(1.02)e ln x |
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Hint |
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9. |
Which inequality represents the graph shown? |
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A. |
y > -3x |
B. |
y < 3-x |
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C. |
y < -3x |
D. |
y > 3-x |
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Hint |
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10. |
Determine the amount of money in a money market account providing an annual rate of 6.5% compounded daily if the invested amount of $3,500 is left in the account for 5 years. |
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A. |
$4,843.97 |
B. |
$1,343.97 |
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C. |
$3,735.03 |
D. |
$3,943.84 |
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Hint |
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11. |
Find the balance of a $5,000 investment after 10 years earning 6.75% interest compounded continuously. |
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A. |
$9,820.16 |
B. |
$5,033.86 |
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C. |
$10,033.86 |
D. |
$5,349.15 |
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Hint |
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12. |
Write the equation 34 = 81 in logarithmic form. |
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A. |
log34 = 81 |
B. |
log381 = 4 |
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C. |
log481 = 3 |
D. |
log43 = 81 |
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Hint |
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13. |
Convert log4364 to a natural logarithm and evaluate. |
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A. |
4.4889 |
B. |
4.2539 |
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C. |
0.2351 |
D. |
4.2559 |
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Hint |
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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. |
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A. |
145 |
B. |
203 |
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C. |
121 |
D. |
177 |
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Hint |
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