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Alexandra [31]
3 years ago
5

Beth is taking out a loan to purchase a new home. She is financing $50,000 for 25 years at an interest rate of 14.25%. What is h

er monthly payment?
A- $158.68

B - $220,140

C - $138.89

D - $611.50
There's also a table that goes with it that says the term for the rate of 14.25% is 12.23.
Mathematics
1 answer:
kozerog [31]3 years ago
3 0
The present value (PV) of a loan for n years at r% compounded t times a year where there is equal P periodic payments is given by:

PV=P\left( \frac{1-\left(1+ \frac{r}{t} \left)^{-nt}}{ \frac{r}{t} } \right)

Given that <span>Beth is taking out a loan of PV = $50,000 to purchase a new home for n = 25 years at an interest rate of r = 14.25%. Since she is making the payment monthly, t = 12.

Her monthly payment is given by:

50,000=P\left( \frac{1-\left(1+ \frac{0.1425}{12} \right)^{-25\times12}}{ \frac{0.1425}{12} } \right) \\  \\ =P\left( \frac{1-(1+0.011875)^{-300}}{ 0.011875 } \right)=P\left( \frac{1-(1.011875)^{-300}}{ 0.011875 } \right) \\  \\ =P\left( \frac{1-0.028969}{ 0.011875 } \right)=P\left( \frac{0.971031}{ 0.011875 } \right)=81.770994P \\  \\  \therefore P= \frac{50,000}{81.770994} =\$611.46

Therefore, her monthly payment is about $611.50
</span>
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Step-by-step explanation:

Happy to help.

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<h3>I'll teach you how to solve 5k^3-8-4k^2+5k^2-2+3k^3</h3>

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