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Study Set
Practical Business Math Procedures Study Set 2
Quiz 12: Compound Interest and Present Value
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Question 81
Short Answer
Solve by compound table. Find future value.
Principal
Rate
Time
#times Compounded per year
Future Value
12
,
000
10
%
2 years
Semiannually
?
\begin{array} { | l | l | l | l | l | } \hline \text { Principal } & \text { Rate } & \text { Time } & \text { \#times Compounded per year } & \text { Future Value } \\\hline 12,000 & 10 \% & \text { 2 years } & \text { Semiannually } & \text { ? }\\\hline \end{array}
Principal
12
,
000
Rate
10%
Time
2 years
#times Compounded per year
Semiannually
Future Value
?
Question 82
Short Answer
Use the present value table to complete:
Future
Amount
Length of
Rate
Table
Rate
P.V.
P.V.
Desired
Time
Compounded
Periods
Used
Factor
Amount
$
14
,
000
5
yrs
6
%
quarterly
A
B
C
D
\begin{array} { | l | l | l | l | l | l | l | } \hline \text { Future } & & & & & & \\\text { Amount } & \text { Length of } & \text { Rate } & \text { Table } & \text { Rate } & \text { P.V. } & \text { P.V. } \\ \text { Desired } & \text { Time } & \text { Compounded } & \text { Periods } & \text { Used } & \text { Factor } & \text { Amount } \\\hline \$ 14,000 & 5 \text { yrs } & 6 \% \text { quarterly } & \text { A } & \text { B } & \text { C } & \text { D } \\\hline\end{array}
Future
Amount
Desired
$14
,
000
Length of
Time
5
yrs
Rate
Compounded
6%
quarterly
Table
Periods
A
Rate
Used
B
P.V.
Factor
C
P.V.
Amount
D
Question 83
Short Answer
Find effective rate (APY)and show work: (round to nearest hundredth)
Principal
Rate
#times Compounded per year
Effective Rate (APY)
$
,
500
10
%
Semiannually
?
\begin{array} { | l | l | l | l | } \hline \text { Principal } & \text { Rate } & \text { \#times Compounded per year } & \text { Effective Rate (APY) } \\\hline \$ , 500 & 10 \% & \text { Semiannually } & ?\\\hline\end{array}
Principal
$
,
500
Rate
10%
#times Compounded per year
Semiannually
Effective Rate (APY)
?
Question 84
Short Answer
Complete without using table:
Principal
Time
Rate of
Compound
When
Compounded
# of Periods to be
Compounded
Total
Amount
Total
Interest
$
1
,
500
1
year
12
%
Quarterly
A
B
C
\begin{array} { | l | l | l | l | l | l | l | } \hline \text { Principal } & \text { Time } & \begin{array} { l } \text { Rate of } \\\text { Compound }\end{array} & \begin{array} { l } \text { When } \\\text { Compounded }\end{array} & \begin{array} { l } \text { \# of Periods to be } \\\text { Compounded }\end{array} & \begin{array} { l } \text { Total } \\\text { Amount }\end{array} & \begin{array} { l } \text { Total } \\\text { Interest }\end{array} \\\hline \$ 1,500 & 1 \text { year } & 12 \% & \text { Quarterly } & \text { A } & \text { B } & \text { C } \\\hline\end{array}
Principal
$1
,
500
Time
1
year
Rate of
Compound
12%
When
Compounded
Quarterly
# of Periods to be
Compounded
A
Total
Amount
B
Total
Interest
C
Question 85
Short Answer
Janet Ring estimates she will need $35,000 for a new computerized office system. Janet decided to put aside the money today so that it will be available in 10 years. Pod Bank offers Janet 8% interest compounded semiannually. How much must Janet invest today to have $35,000 in 10 years?
Question 86
Short Answer
Solve by using compound table. Find future value.
Future
Principal
Rate
Time
# times Compounded per year
Value
$
2
,
000
8
%
2 years
Quarterly
?
\begin{array} { | l | l | l | l | l | } \hline & & & & \text { Future } \\\text { Principal } & \text { Rate } & \text { Time } & \text { \# times Compounded per year } & \text { Value } \\\hline \$ 2,000 & 8 \% & \text { 2 years } & \text { Quarterly } & \text { ? } \\\hline\end{array}
Principal
$2
,
000
Rate
8%
Time
2 years
# times Compounded per year
Quarterly
Future
Value
?
Question 87
Short Answer
Joe Diamond deposited $9,000 into the Rong Bank, which pays 12% interest, compounded quarterly. Calculate the amount Joe will have in his account at the end of four years.
Question 88
Short Answer
Complete without using table:
Principal
Time
Rate of
Compound
When
Compounded
# of Periods to be
Compounded
Total
Amount
Total
Interest
$
300
1
year
16
%
Quarterly
A
B
C
\begin{array} { | l | l | l | l | l | l | l | } \hline \text { Principal } & \text { Time } & \begin{array} { l } \text { Rate of } \\\text { Compound }\end{array} & \begin{array} { l } \text { When } \\\text { Compounded }\end{array} & \begin{array} { l } \text { \# of Periods to be } \\\text { Compounded }\end{array} & \begin{array} { l } \text { Total } \\\text { Amount }\end{array} & \begin{array} { l } \text { Total } \\\text { Interest }\end{array} \\\hline \$ 300 & 1 \text { year } & 16 \% & \text { Quarterly } & \text { A } & \text { B } & \text { C } \\\hline\end{array}
Principal
$300
Time
1
year
Rate of
Compound
16%
When
Compounded
Quarterly
# of Periods to be
Compounded
A
Total
Amount
B
Total
Interest
C
Question 89
Short Answer
Use the present value table to complete:
Future
Amount
Length of
Rate
Table
Rate
P.V.
P.V.
Desired
Time
Compounded
Periods
Used
Factor
Amount
$
12
,
000
12
yrs
12
%
Semiannually
A
B
C
D
\begin{array}{|l|l|l|l|l|l|l|}\hline \begin{array}{l}\text { Future } \\\text { Amount }\end{array} & \text { Length of } & \text { Rate } & \text { Table } & \text { Rate } & \text { P.V. } & \text { P.V. } \\\text { Desired } & \text { Time } & \text { Compounded } & \text { Periods } & \text { Used } & \text { Factor } & \text { Amount } \\\hline \$ 12,000 & 12 \text { yrs } & \begin{array}{l}12 \% \\\text { Semiannually }\end{array} & \text { A } & \text { B } & \text { C } & \text { D } \\\hline\end{array}
Future
Amount
Desired
$12
,
000
Length of
Time
12
yrs
Rate
Compounded
12%
Semiannually
Table
Periods
A
Rate
Used
B
P.V.
Factor
C
P.V.
Amount
D
Question 90
Short Answer
Jim Ryan deposited $8,000 at National Bank at 6% interest compounded quarterly. What was the effective rate (APY)? (Round to the nearest hundredth percent.)
Question 91
Short Answer
Solve by using compound table. Find future value.
Principal
Rate
Time
#times Compounded per year
Future
$
18
,
000
12
%
4 years
Semiannually
?
\begin{array} { | l | l | l | l | l | } \hline \text { Principal } & \text { Rate } & \text { Time } & \text { \#times Compounded per year } & \text { Future } \\\hline \$ 18,000 & 12 \% & \text { 4 years } & \text { Semiannually } & ? \\\hline\end{array}
Principal
$18
,
000
Rate
12%
Time
4 years
#times Compounded per year
Semiannually
Future
?
Question 92
Short Answer
Solve by using compound table:
Principal
Time
Rate of
Compound
When
Compounded
# of Periods to be
Compounded
Total
Amount
Total
Interest
$
300
1
year
16
%
Quarterly
A
B
C
\begin{array} { | l | l | l | l | l | l | l | } \hline \text { Principal } & \text { Time } & \begin{array} { l } \text { Rate of } \\\text { Compound }\end{array} & \begin{array} { l } \text { When } \\\text { Compounded }\end{array} & \begin{array} { l } \text { \# of Periods to be } \\\text { Compounded }\end{array} & \begin{array} { l } \text { Total } \\\text { Amount }\end{array} & \begin{array} { l } \text { Total } \\\text { Interest }\end{array} \\\hline \$ 300 & 1 \text { year } & 16 \% & \text { Quarterly } & \text { A } & \text { B } & \text { C } \\\hline\end{array}
Principal
$300
Time
1
year
Rate of
Compound
16%
When
Compounded
Quarterly
# of Periods to be
Compounded
A
Total
Amount
B
Total
Interest
C
Question 93
Short Answer
Use the present value table to complete:
Future
Amount
Length of
Rate
Table
Rate
P.V.
P.V.
Desired
Time
Compounded
Periods
Used
Factor
Amount
$
8
,
000
10
yrs
8
%
semiannual
A
B
C
D
\begin{array} { | l | l | l | l | l | l | l | } \hline\text { Future } & & & & & & \\ \text { Amount } & \text { Length of } & \text { Rate } & \text { Table } & \text { Rate } & \text { P.V. } & \text { P.V. } \\ \text { Desired } & \text { Time } & \text { Compounded } & \text { Periods } & \text { Used } & \text { Factor } & \text { Amount } \\\hline \$ 8,000 & 10 \text { yrs } & 8 \% \text { semiannual } & \text { A } & \text { B } & \text { C } & \text { D } \\\hline\end{array}
Future
Amount
Desired
$8
,
000
Length of
Time
10
yrs
Rate
Compounded
8%
semiannual
Table
Periods
A
Rate
Used
B
P.V.
Factor
C
P.V.
Amount
D
Question 94
Short Answer
Solve by using compound table. Find future value.
Principal
Rate
Time
#times Compounded per year
Future Value
$
3
,
000
8
%
3 years
Quarterly
?
\begin{array} { | l | l | l | l | l | } \hline\text { Principal } & \text { Rate } & \text { Time } & \text { \#times Compounded per year } & \text { Future Value } \\\hline \$ 3,000 & 8 \% & \text { 3 years } & \text { Quarterly } & \text { ? } \\\hline\end{array}
Principal
$3
,
000
Rate
8%
Time
3 years
#times Compounded per year
Quarterly
Future Value
?
Question 95
Short Answer
Don Williams wants to buy a boat five years from today. He will need $40,000. Don wants you to calculate how much he needs today to put in the bank (10% compounded semiannually)to reach his goal in the future.