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SATMathematics Practice Test 1
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© examsnet.com
Question : 7
Total: 58
m
=
(
r
1
,
200
)
(
1
+
r
1
,
200
)
N
(
1
+
r
1
,
200
)
N
−
1
P
The formula above gives the monthly payment
m
needed to pay off a loan of
P
dollars at r percent annual interest over N months. Which of the following gives
P
in terms of
m
,
r
, and
N
?
P
=
(
r
1
,
200
)
(
1
+
r
1
,
200
)
N
(
1
+
r
1
,
200
)
N
−
1
m
P
=
(
1
+
r
1
,
200
)
N
−
1
(
r
1
,
200
)
(
1
+
r
1
,
200
)
N
m
P
=
(
r
1
,
200
)
m
P
=
(
1
,
200
r
)
m
Validate
Solution:
Since the right-hand side of the equation is P times the expression
(
r
1
,
200
)
(
1
+
r
1
,
200
)
N
(
1
+
r
1
,
200
)
N
−
1
,
multiplying both sides of the equation by the reciprocal of this expression results in
(
1
+
r
1
,
200
)
N
−
1
(
r
1
,
200
)
(
1
+
r
1
,
200
)
N
m
=
P
Choices A, C, and D are incorrect and are likely the result of conceptual or computation errors while trying to solve for P.
© examsnet.com
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