Which of these groups of values plugged into the TVM Solver of a graphing calculator will return the same value for [tex]\( PV \)[/tex] as the expression

[tex]\[
\frac{(5505)\left((1+0.004)^{100}-1\right)}{(0.004)(1+0.004)^{10}} ?
\][/tex]

A. [tex]\( N=5 \)[/tex] ; [tex]\( I\% = 4.8 \)[/tex] ; [tex]\( PV = \)[/tex] ; [tex]\( PMT = -505 \)[/tex] ; [tex]\( FV = 0 \)[/tex] ; [tex]\( P/Y = 12 \)[/tex] ; [tex]\( C/Y = 12 \)[/tex] ; [tex]\( PMT: END \)[/tex]

B. [tex]\( N = 60 \)[/tex] ; [tex]\( I\% = 4.8 \)[/tex] ; [tex]\( PV = \)[/tex] ; [tex]\( PMT = -505 \)[/tex] ; [tex]\( FV = 0 \)[/tex] ; [tex]\( P/Y = 12 \)[/tex] ; [tex]\( C/Y = 12 \)[/tex] ; [tex]\( PMT: END \)[/tex]

C. [tex]\( N = 5 \)[/tex] ; [tex]\( I\% = 0.4 \)[/tex] ; [tex]\( PV = \)[/tex] ; [tex]\( PMT = -505 \)[/tex] ; [tex]\( FV = 0 \)[/tex] ; [tex]\( P/Y = 12 \)[/tex] ; [tex]\( C/Y = 12 \)[/tex] ; [tex]\( PMT: END \)[/tex]

D. [tex]\( N = 60 \)[/tex] ; [tex]\( I\% = 0.4 \)[/tex] ; [tex]\( PV = \)[/tex] ; [tex]\( PMT = -505 \)[/tex] ; [tex]\( FV = 0 \)[/tex] ; [tex]\( P/Y = 12 \)[/tex] ; [tex]\( C/Y = 12 \)[/tex] ; [tex]\( PMT: END \)[/tex]

Question

13-06-2024
Mathematics

Answered

Which of these groups of values plugged into the TVM Solver of a graphing calculator will return the same value for [tex]\( PV \)[/tex] as the expression

[tex]\[
\frac{(5505)\left((1+0.004)^{100}-1\right)}{(0.004)(1+0.004)^{10}} ?
\][/tex]

A. [tex]\( N=5 \)[/tex] ; [tex]\( I\% = 4.8 \)[/tex] ; [tex]\( PV = \)[/tex] ; [tex]\( PMT = -505 \)[/tex] ; [tex]\( FV = 0 \)[/tex] ; [tex]\( P/Y = 12 \)[/tex] ; [tex]\( C/Y = 12 \)[/tex] ; [tex]\( PMT: END \)[/tex]

B. [tex]\( N = 60 \)[/tex] ; [tex]\( I\% = 4.8 \)[/tex] ; [tex]\( PV = \)[/tex] ; [tex]\( PMT = -505 \)[/tex] ; [tex]\( FV = 0 \)[/tex] ; [tex]\( P/Y = 12 \)[/tex] ; [tex]\( C/Y = 12 \)[/tex] ; [tex]\( PMT: END \)[/tex]

C. [tex]\( N = 5 \)[/tex] ; [tex]\( I\% = 0.4 \)[/tex] ; [tex]\( PV = \)[/tex] ; [tex]\( PMT = -505 \)[/tex] ; [tex]\( FV = 0 \)[/tex] ; [tex]\( P/Y = 12 \)[/tex] ; [tex]\( C/Y = 12 \)[/tex] ; [tex]\( PMT: END \)[/tex]

D. [tex]\( N = 60 \)[/tex] ; [tex]\( I\% = 0.4 \)[/tex] ; [tex]\( PV = \)[/tex] ; [tex]\( PMT = -505 \)[/tex] ; [tex]\( FV = 0 \)[/tex] ; [tex]\( P/Y = 12 \)[/tex] ; [tex]\( C/Y = 12 \)[/tex] ; [tex]\( PMT: END \)[/tex]

Answer :

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GinnyAnswer GinnyAnswer · Answer 1 · 2024-06-13T17:46:16-04:00

To determine which group of values, when plugged into the TVM Solver of a graphing calculator, would return the same present value (PV) as the given expression
[tex]\[ PV = \frac{5505 \left((1 + 0.004)^{100} - 1\right)}{0.004 \cdot (1 + 0.004)^{100}}, \][/tex]
we need to evaluate each set of values provided in the options using the TVM (Time Value of Money) formula. However, the result from our calculations show that none of the provided options A, B, C, or D match the given PV expression.

Given this, none of the provided answers correctly match the provided PV expression.