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1. |
Simplify  |
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A. |
y3 |
B. |
 |
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C. |
 |
D. |
y30 |
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Hint |
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2. |
Solve log2 (x + 4) = log2 (x2 + 2). |
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A. |
no solution |
B. |
-1, 2 |
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C. |
0 |
D. |
2 |
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Hint |
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3. |
Solve log4 3 + log4 x = log4 18. |
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A. |
6 |
B. |
54 |
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C. |
12 |
D. |
15 |
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Hint |
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4. |
Solve log3 (x + 4) - log3 (x - 2) = 2 log3 2. |
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A. |
6 |
B. |
8 |
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C. |
9 |
D. |
4 |
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Hint |
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5. |
Finance If $500 is deposited in an account paying 5.25% interest compounded continuously, find the amount in the account after 3 years. |
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A. |
$427.14 |
B. |
$616.84 |
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C. |
$585.29 |
D. |
$555.36 |
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Hint |
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6. |
Find  to three decimal places. |
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A. |
2.3225 |
B. |
3.1355 |
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C. |
1.3617 |
D. |
1.6113 |
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Hint |
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7. |
Solve 4x = 22 to three decimal places. |
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A. |
3.414 |
B. |
2.230 |
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C. |
5.500 |
D. |
3.961 |
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Hint |
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8. |
The number of bacteria in a culture grew exponentially. When the experiment began, there were 100,000. Ten minutes later, that number grew to 220,000. Which of the following equations could be used to model this situation? |
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A. |
 |
B. |
 |
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C. |
 |
D. |
 |
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Hint |
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9. |
Solve log 5 (5x – 2) > log 5 (2x + 10). |
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A. |
0 < x < 4 |
B. |
x < 4 |
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C. |
x > 625 |
D. |
x > 4 |
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Hint |
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10. |
Shrinivas deposited $1300 in an account which pays 8% annual interest, compounded continuously. How long will it take to reach $3500? |
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A. |
176 years |
B. |
12.4 years |
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C. |
1.2 years |
D. |
9.2 years |
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Hint |
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11. |
A Mickey Mantle rookie card appreciates in value 2% every year. How much was it worth in 1990 if it is worth $35,000 in 2000? |
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A. |
$5653 |
B. |
$28, 712 |
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C. |
$216,711 |
D. |
$42,665 |
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Hint |
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12. |
Two cities have insect problems. The insects in City A increase exponentially according to the equation y = 120,000e0.04t. The insects in City B increase exponentially according to the equation y = 90,000e0.08t. When will the cities have an equal amount of insects? |
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A. |
at t = 7.89 years |
B. |
at t = 34.66 years |
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C. |
at t = 3 years |
D. |
at t = 7.19 years |
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Hint |
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