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marin [14]
3 years ago
12

A $104,000 selling price with $24,000 down at 81⁄2% for 25 years results in a monthly payment of

Mathematics
2 answers:
Katena32 [7]3 years ago
8 0
Okay so first I am taking it that you have to subtract 24k from the 104k which brings it to 80,000.
I am also taking it that the 8.5% is suppose to be in decimal form which makes it .085%
Take the 80,000 and use the monthly payment formula, which is really easy to use.
Monthly payment should be 644.18
taurus [48]3 years ago
7 0
\bf \qquad \qquad \textit{Future Value of an ordinary annuity}
\\\\
FV=pymnt\left[ \cfrac{\left( 1+\frac{r}{n} \right)^{nt}-1}{\frac{r}{n}} \right]
\\\\
\qquad 
\begin{cases}
FV=\textit{future value}\to &
\begin{array}{llll}
104,000\\
-24,000\\
-----\\
80,000
\end{array}\\
pymnt=\textit{periodic payments}\\
r=rate\to 8\frac{1}{2}\%\to \frac{8.5}{100}\to &0.085\\
n=
\begin{array}{llll}
\textit{times it compounds per year}\\
\textit{monthly payments, means 12}
\end{array}\to &12\\

t=years\to &25
\end{cases}

\bf thus
\\\\
80,000=pymnt\left[ \cfrac{\left( 1+\frac{0.085}{12} \right)^{12\cdot 25}-1}{\frac{0.085}{12}} \right]

solve for "pymnt"
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