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Compute the monthly payments for an add-on interest loan of $1190, with an annual interest rate of 10% and a term of 3 years. Round to nearest cent

Sagot :

Given:

The principal amount borrowed, P=$1190.

The annual interest rat, R=10%.

The number of years, N=3.

The interest on the principal amount at add on interest rate R for N years is,

[tex]\begin{gathered} I=\frac{PRT}{100} \\ =\frac{1190\times10\times3}{100} \\ =357 \end{gathered}[/tex]

Now, since there are 12 months in year, the number of months in 3 years is,

[tex]N=3\times13=36[/tex]

The sum of interest and principal is to be repaid.

Each month we have to make payment. So, the monthly payment is,

[tex]\begin{gathered} A=\frac{P+I}{N} \\ =\frac{1190+357}{36} \\ =\frac{1547}{36} \\ =42.972 \end{gathered}[/tex]

Therefore, the monthly payment is $42.97, rounded to the nearest cent.

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