Unformatted text preview: MAC 1105 Module Test 9
Name___________________________________ MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
Solve the equation. If necessary, round to thousandths.
1) 5e2x + 5 = 20
A) 1.807 B) 2.200 C) 3.193 D) 7.500 Use a change of base formula to evaluate the given logarithm. Approximate to three decimal places.
2) log
(64.7 )
6
A) 0. 389
B) 4.654
C) 0. 215
D) 2.327
Solve the inequality.
3) 3x > 1
27
A) x < 1
9 B) x > 1
3 C) x > 3 Use the properties of logarithms to evaluate the expression.
4) logaa2
A) 1
B) a2 D) x < 3 C) 2logaa D) 2 Solve the problem.
5) At the end of t years, the future value of an investment of $7000 in an account that pays 7% APR
12t
compounded monthly is S = 7000 1 + 0.07
dollars. Assuming no withdrawals or additional deposits,
12
how long will it take for the investment to reach $21,000 ? Round to three decimal places.
A) 12.592 years
B) 15.740 years
C) 18.888 years
D) 23.610 years
Solve the equation.
6) 400e0. 284x = 1600 (Round to three decimal places.)
A) 0. 205
B) 0. 205 C) 4.881 D) 4.881 C) ln x39 D) x39 C) 0.190 D) 1.120 Use the properties of logarithms to evaluate the expression.
7) eln x39
A) x B) ex39 Solve the equation. If necessary, round to thousandths.
8) 5(5x  1 ) = 23
A) 0.590 B) 0.505 1 Solve.
9) Given that loga7 = 1.946 , and loga11 = 2.398 , ﬁnd loga 7 .
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A) 0.812 B) 0.452 C) 0.452 D) 4.344 B) logt 3tu
s C) logt tu3
s D) logt tu3s Rewrite as a single logarithm.
10) (logt t  logt s) + 3 logt u
A) logt t
u3s Solve the problem.
11) Find the amount of money in an account after 4 years if $1800 is deposited at 5% annual interest
compounded quarterly.
A) $2197.61
B) $2187.91
C) $2193.13
D) $2195.80
12) Sumi Kato's savings account has a balance of $ 1663. After 19 years, what will the amount of interest be at
5.5 % compounded annually?
A) $3159.70
B) $2936.27
C) $2942.27
D) $2925.27
13) What will be the amount in an account with initial principal $9000 if interest is compounded continuously at
an annual rate of 3.25 % for 7 years?
A) $2069.63
B) $9000.00
C) $9297.31
D) $11,299.12
14) $9000 is invested at 8% compounded quarterly. In how many years will the account have grown to $14,500 ?
Round your answer to the nearest tenth of a year.
A) 1.1 years
B) 13.2 years
C) 6.2 years
D) 6 years
Evaluate.
kn
15) P 1 + r
for P = $14,000, n = 4, r = 11%, k = 2
k
A) $21,485.61 B) $7485.61 C) $20,365.51 D) $21,252.99 Solve the problem.
16) How long would it take $7000 to grow to $35,000 at 6% compounded continuously? Round your answer to
the nearest tenth of a year.
A) 27.6 years
B) 27.1 years
C) 26.0 years
D) 26.8 years
17) An initial investment of $ 1260 is appreciated for 2 years in an account that earns 8% interest, compounded
continuously. Find the amount of money in the account at the end of the period.
A) $4780.02
B) $1478.62
C) $1617.87
D) $68,793.67
18) You have money in an account at 8% interest, compounded monthly . To the nearest year, how long will it
take for your money to double?
A) 7 years
B) 9 years
C) 12 years
D) 5 years 2 19) Assume the cost of a gallon of milk is $2.80 . With continuous compounding, ﬁnd the time it would take the
cost to be 5 times as much (to the nearest tenth of a year), at an annual inﬂation rate of 6%.
A) 9.9 years
B) 26.8 years
C) 0.1 year
D) 0.0 year
20) Find the amount of money in an account after 6 years if $2900 is deposited at 8% annual interest
compounded monthly.
A) $4601.94
B) $4664.47
C) $4642.99
D) $4679.16 3 ...
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 Summer '07
 RUSSEL
 Algebra, Natural logarithm, decimal places, eln x39

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