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1. |
Evaluate  . |
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A. |
8 |
B. |
3 |
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C. |
4 |
D. |
2 |
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Hint |
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2. |
What is the y-intercept of the graph of y = 2x + 5? |
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A. |
(0, 1) |
B. |
(0, 6) |
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C. |
(0, 32) |
D. |
(0, 5) |
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Hint |
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3. |
Graph y = 3x - 5. |
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A. |
 |
B. |
 |
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C. |
 |
D. |
 |
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Hint |
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4. |
Evaluate the expression  . |
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A. |
3 |
B. |
 |
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C. |
 |
D. |
-3 |
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Hint |
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5. |
Solve the equation 34x = 8x - 5 by using natural logarithms. |
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A. |
-3.4271 |
B. |
-4.3150 |
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C. |
-4.4912 |
D. |
-2.9412 |
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Hint |
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6. |
Suppose the population in a city can be modeled by the equation
y = 15,000(1.02)x, where x is the number of years since 1950. Predict the population in 2010. |
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A. |
49,215 |
B. |
5,486 |
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C. |
33,967 |
D. |
523,333 |
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Hint |
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7. |
Express  using rational exponents. |
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A. |
 |
B. |
 |
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C. |
 |
D. |
 |
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Hint |
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8. |
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. |
$5,349.15 |
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C. |
$5,033.86 |
D. |
$10,033.86 |
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Hint |
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9. |
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? |
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A. |
40,243 |
B. |
52,718 |
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C. |
47,321 |
D. |
49,946 |
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Hint |
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10. |
Write the equation 34 = 81 in logarithmic form. |
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A. |
log43 = 81 |
B. |
log381 = 4 |
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C. |
log481 = 3 |
D. |
log34 = 81 |
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Hint |
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11. |
Solve 46x = 496. |
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A. |
4.4771 |
B. |
3.6413 |
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C. |
0.7462 |
D. |
0.6472 |
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Hint |
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12. |
Solve 7x = 6x + 2. |
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A. |
11.6234 |
B. |
-27.4312 |
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C. |
23.2469 |
D. |
-23.2469 |
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Hint |
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13. |
Solve 53x = 8x - 2 by using natural logarithms. |
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A. |
-0.6021 |
B. |
0.8985 |
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C. |
1.5129 |
D. |
-1.5129 |
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Hint |
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14. |
What interest rate is required for an investment with continuously compounded interest to double in 5 years? |
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A. |
3.86% |
B. |
3.47% |
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C. |
6.93% |
D. |
13.86% |
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Hint |
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