Download Chapter 5 Practice Test

Chapter 5 Practice Test
Short Answer
1. Solve
. Round to the nearest ten-thousandth.
2.
3. Solve
. Round to the nearest ten-thousandth.
Evaluate the logarithm.
4.
5. Write the equation
6. Solve
in exponential form.
. Round to the nearest thousandth.
7. Solve
.
8. The amount of money in an account with continuously compounded interest is given by the formula
,
where P is the principal, r is the annual interest rate, and t is the time in years. Calculate to the nearest hundredth of
a year how long it takes for an amount of money to double if interest is compounded continuously at 6.2%. Round
to the nearest tenth.
9. Solve
. Round to the nearest hundredth if necessary.
Graph the exponential function.
10.
11. A construction explosion has an intensity I of
and
W/m2. Find the loudness of the sound in decibels if
W/m2. Round to the nearest tenth.
12. Use the properties of logarithms to evaluate
.
13. The sales of lawn mowers t years after a particular model is introduced is given by the function y =
,
where y is the number of mowers sold. How many mowers will be sold 2 years after a model is introduced? Round
the answer to the nearest whole number.
Write the expression as a single logarithm.
14.
Expand the logarithmic expression.
15.
16. Solve
.
Write the equation in logarithmic form.
17.
18. Suppose you invest $1600 at an annual interest rate of 4.6% compounded continuously. How much will you have
in the account after 4 years?
Write the expression as a single natural logarithm.
19.
Use natural logarithms to solve the equation. Round to the nearest thousandth.
20.
Chapter 5 Practice Test
Answer Section
SHORT ANSWER
1.
2.
3.
4.
0.0090
12
0.6616
–4
5.
6. 1,490.979
495
7.
2
8. 11.2 yr
9. 0.04
10.
y
20
16
12
8
4
–6
–4
–2
2
–4
11.
12.
13.
14.
15.
106.9 decibels
4
17,001 mowers
none of these
16.
17.
18. $1,923.23
19.
20. –0.046
4
6
x