4.4-4.5 Practice
Name___________________________________
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
Use the change of base rule to find the logarithm to four decimal places.
1) log4 2
A) 2.0000
2) log 24.10
7
A) 1.6353
3) log 0.707
9
A) 12.7298
B) -0.5000
C) 1.0000
1)
D) 0.5000
2)
B) 3.4429
C) 0.6115
D) 1.3820
3)
B) -6.3371
C) -0.1578
D) -0.1506
Solve the equation. If necessary, round to the nearest thousandth.
4) 3 x = 12
4)
A) {1.386}
B) {2.262}
C) {0.442}
D) {4.000}
5) 2 (x - 1) = 17
A) {5.087}
B) {3.140}
C) {3.087}
D) {9.500}
5)
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6) 5 (2x - 1) = 10
A) {0.215}
B) {0.847}
C) {1.500}
D) {1.215}
7) 2e4x - 3 = 8
A) {-0.403}
B) {1.097}
C) {2.750}
D) {1.010}
6)
7)
8) 16 3-x = 29
A) { 1.79 }
8)
B) { -1.19 }
C) { 3.82 }
D) { 1.19 }
Solve the problem.
9) How long must $4100 be in a bank at 5% compounded annually to become $5769.11? (Round to the
nearest year.)
A) 8 yr
B) 9 yr
C) 6 yr
D) 7 yr
10) Find the number of years for $4800 to grow to $9400 at 6% compounded quarterly. Round to the
nearest tenth of a year.
A) 11.1 years
B) 10.4 years
C) 11.3 years
D) 13.5 years
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9)
10)
11) What is the rate on an investment that triples $4848 in 3 years? Assume interest is compounded
monthly.
A) 24.8%
B) 37.2%
C) 31.0%
D) 46.5%
11)
12) Use your graphing calculator to find how long it will take for $1500 invested at 3.85% per year
compounded daily to triple in value. Find the answer to the nearest year. Use 365 days for a year.
A) 3,801,827 years
B) 29 years
C) 0 years
D) 38,216 years
12)
13) The growth in population of a city can be seen using the formula p(t) = 4055e0.002t, where t is the
number of years since 1933. Use this formula to calculate the population in 1943.
A) 12,411
B) 4137
C) 8274
D) 4220
13)
14) The growth in population of a city can be seen using the formula p(t) = 11,653e0.008t, where t is the
number of years since 1970. According to this formula, how many years will it take the population
to double its 1970 value? Round to the nearest tenth of a year.
A) 43.3 years
B) 173.3 years
C) 65.0 years
D) 86.6 years
14)
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Answer Key
Testname: 4.4‐4.5PRACTICEERIC
1) D
2) A
3) C
4) B
5) A
6) D
7) B
8) A
9) D
10) C
11) B
12) B
13) B
14) D
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