A car dealer will sell you a used car for $6798 with $798 down and payments of $168.51 per month for 48 months. What is the simple interest rate?

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$168.51 a moth for 48 mnths multiply that then divide it by $798


Installments can be an easier way to be a huge amount, the amounts will be divided into small amounts that have to be paid monthly. Thus, 7% is the simple interest rate for the problem.

The actual price of the car is $6798.

Monthly installments are $168.51.

The down payment for the car is $798.

The duration of installments is 48 months.

Now, let us calculate the total amount that has to be paid for the car.

[tex]\begin{aligned}\rm{Amount}&=798+48 \times 168.51\\&=798+8088\\&=8886\end{aligned}[/tex]

The extra amount that is paid is counted under the interest of the car.

Thus,

[tex]\begin{aligned}\rm{Interest}&=8886-6798\\&=2088\end{aligned}[/tex]

Now, the formula for finding the interest can be formulated below:

[tex]I=\dfrac{prt}{100}[/tex]

Therefore, p=$6798, r=r, time= 48 months that is 4 years, and interest=$2088.

Substitute the values and solve the expression for r.

[tex]2088=\dfrac{6798 \times r \times 4}{100}\\r=7\%[/tex]

Thus, 7% is the simple interest rate.

To know more about simple interest, please refer to the link:

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