Multiple Choice Identify the
choice that best completes the statement or answers the question.


1.

Evaluate the function at . Round to 3 decimal places.
a.  54,270.000  b.  2.454  c.  303.008  d.  736.228  e.  803.695 


2.

What is the value of the function
at ? Round to 3 decimal places.
a.  1.398  b.  0.676  c.  1.795  d.  –7.747  e.  0.848 


3.

Let Q represent a mass of radioactive radium
(^{226}Ra) (in grams), whose halflife is 1599 years. The quantity of radium present after
t years is
Determine the quantity present after 300 years. Round to the nearest hundredth
of a gram.
a.  5.00 g  b.  0.47 g  c.  4.39
g  d.  0.00 g  e.  0.88 g 


4.

Rewrite the exponential equation
in logarithmic form.


5.

Evaluate the function at . Round to 3 decimal places. (You may use your calculator.)
a.  –3.391  b.  undefined  c.  –2.928  d.  2.150  e.  3.391 


6.

Identify the xintercept of the function
.
a.   b.  The function has
no xintercept.  c.   d.   e.  


7.

Solve the equation for x
using the OnetoOne Property.
a.  –9  b.  –11  c.  0  d.  The equation has
no solution.  e.  11 


8.

Rewrite the logarithm in terms of
the common logarithm (base 10).


9.

Evaluate the logarithm using the
change of base formula. Round to 3 decimal places.
a.  0.630  b.  0.273  c.  –0.692  d.  –1.745  e.  –0.573 


10.

Simplify the expression .
a.  The expression cannot be
simplified.  b.   c.   d.  6  e.  


11.

Find the exact value of without
using a calculator.


12.

Condense the expression to the
logarithm of a single term.


13.

Condense the expression
to the logarithm of a single term.


14.

Solve for x: . Round to 3
decimal places.
a.  13.291  b.  10.518  c.  –3.794  d.  –13.291  e.  7.587 


15.

Solve for x: . Round to 3
decimal places.
a.  2.407  b.  –1.362  c.  0.407  d.  1.362  e.  no
solution 


16.

An initial investment of $3000 doubles in value in
8.3 years. Assuming continuous compounding, what was the interest rate? Round to the nearest
tenth of a percent.
a.  4.2%  b.  100%  c.  8.3%  d.  3.6%  e.  8.4% 


17.

An initial investment of $9000 grows at an annual
interest rate of 5% compounded continuously. How long will it take to double the
investment?
a.  1 year  b.  13.86 years  c.  14.86
years  d.  13.40 years  e.  14.40 years 


18.

The population P of a bacteria culture is
modeled by , where t is the time in hours. If the
population of the culture was 5800 after 40 hours, how long does it take for the population to
double? Round to the nearest tenth of an hour.
a.  59.3 hours  b.  94.5 hours  c.  9.6
hours  d.  57.5 hours  e.  92.7 hours 


19.

Carbon dating presumes that, as long as a plant or
animal is alive, the proportion of its carbon that is ^{14}C is constant. The amount of
^{14}C in an object made from harvested plants, like paper, will decline exponentially
according to the equation , where A represents the amount of
^{14}C in the object, A_{o} represents the amount of ^{14}C in living
organisms, and t is the time in years since the plant was harvested. If an archeological
artifact has 40% as much ^{14}C as a living organism, how old would you predict it to be?
Round to the nearest year.
a.  87 years  b.  16,006 years  c.  30,411
years  d.  7554 years  e.  5715 years 


20.

The chemical acidity of a solution is measured in
units of pH: , where is the
hydrogen ion concentration in the solution. If a sample of rain has a pH of 3.2, how many times
higher is its than pure water's, which has a pH of
7?
