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Serggg [28]
3 years ago
10

1 15/100 + 1/50 +1.175=

Mathematics
1 answer:
grin007 [14]3 years ago
6 0

1\frac{15}{100}+\frac{1}{50}+1.175 =\frac{115}{100}+\frac{1}{50}+1.175 =\frac{23}{20}+\frac{1}{50}+1.175 =\frac{115}{100}+\frac{2}{100} =\frac{115}{100}+\frac{2}{100} =\frac{115+2}{100}  =1.175+\frac{117}{100} =1.175+1.17  =2.345

<h3><em>You can write </em>2.345<em> or </em>2\frac{69}{200}<em></em></h3><h3><em></em></h3><h3><em>Hope I helped you!</em></h3><h3><em>Success!</em></h3>
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Part 1:

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Part 2:

The present value of an annuity is given by:

PV= \frac{P\left[1-\left(1+ \frac{r}{12} \right)^{-12n}\right]}{ \frac{r}{12} }

Where PV is the amount to be repaid, P is the equal monthly payment, r is the annual interest rate and n is the number of years.

Thus,

2348.62= \frac{600\left[1-\left(1+ \frac{0.0875}{12}\right)^{-12n}\right]}{\frac{0.0875}{12}}  \\  \\ \Rightarrow 1-(1+0.007292)^{-12n}= \frac{2348.62\times0.0875}{12\times600} =0.028542 \\  \\ \Rightarrow(1.007292)^{-12n}=1-0.028542=0.971458 \\  \\ \Rightarrow \log(1.007292)^{-12n}=\log0.971458 \\  \\ \Rightarrow-12n\log1.007292=\log0.971458 \\  \\ \Rightarrow-12n= \frac{\log0.971458}{\log1.007292} =-3.985559 \\  \\ \Rightarrow n= \frac{-3.985559}{-12} =0.332130

Therefore, the number of months it will take to pay of the debt is 3.99 months which is approximately 4 months.
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