Chapter 20
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MM232 - Third Examination

1.  Which interval containing the solution of         e8x + 2 = 3x ?
A)  -3 < x < 0 B)  x < -3 C)  3 < x < 5 D)  0 < x < 3  E)  x > 5

2.   Find the sum of the root(s) of        log(x - 3) = 1 - log (x)

A) 3 B)   7 C)   5 D)  -7 E)  None

3.  If a radioactive substance has a half-life of 20-second, how long will it take 100-g to decay to 10-g? Round your answer to the nearest second.

A)  66 second B)  200 second C)  50 second D) 30 second E) 25 second

4.  Suppose that you have made a deposit of $10,000 at local bank that pays an annual interest rate of 10% compounded monthly. How long will take the amount to triple? Round to the nearest year.

A)  13 years B)  9 years C)  21 years D)  11 years E)  12 years

5.   Find the sum of the root(s) of       ln(x - 2) + ln(2x - 3) = 2 ln(x)

A)   7 B)  1 C)  6 D)  3.5 E)  None

6.  Which interval containing the root(s) of         log2 (x + 5) = 3 + log2 (x - 2) ?

A)  0 < x < 2 B)  2 < x < 3.5 C)  x < 0 D)  3.5 < x < 5 E)  x > 5

7.  Which interval containing the root(s) of        V  eqt128.gif (524 bytes)

A)  x < 0 B)  0 < x < 2 C)  x > 7 D)  5 < x < 7 E)  2 < x < 5

8. Solve for t:          eqt129.gif (244 bytes)

A)  eqt130.gif (294 bytes) B)  eqt132.gif (361 bytes) C)  eqt131.gif (312 bytes) D)  eqt133.gif (338 bytes)

9.  The population of a town was 10,000 in 1990. If there were 15,000 residents in 1995, find the value of k in the growth-decay model. Round result to the nearest hundredth.

A)  2.03 B)  0.04 C)  0.08 D)  0.88 E)  1.70

10.  If the power input to a device is pi and the power output if po, the amount of decibels (dB) gained or lost in the device G is given by        eqt135.gif (480 bytes).       If a certain device gives a power output of 1,000-W for an input of 50-W. Find the dB gain. Round result to the nearest integer.

A)  13 B)  -13 C)  12 D)  10 E)  -8