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bulgar [2K]
3 years ago
9

The table shows interest owed for a home improvement loan based on how long it takes to pay off the loan.

Mathematics
1 answer:
Alexxandr [17]3 years ago
7 0
Remember that  the formula for simple interest is:
I=prt
Where I is the interest to paid, p is the loan, r is the interest rate (in decimal), and t is the time (in years).

A. We know that the interest rate for a loan of 9 months is 2.9%, but we need to convert that rate to decimal. To do that just divide the interest rate by 100%:
\frac{2.9}{100} =0.029
Next, we are going to find the time t in years. Since the period of time is 9 months, we are going to dive by 12, the number of months in a year, to obtain the time in years:
t= \frac{9}{12} =0.75
Now, we just need to replace the values in our formula to find the interest owned:
I=(900)(0.029)(0.75)=19.58
We can conclude that <span>the interest owed for a home improvement loan of $900 after 9 months is $19.58.
</span>
B. Similarly:
r= \frac{3.1}{100} =0.031
t= \frac{18}{12} =1.5
I=(2500)(0.031)(1.5)=116.25
We can conclude that the interest owed for a home improvement loan of $2500 after 18 months is $116.25.

C. Similarly:
r= \frac{2.4}{100} =0.024
t= \frac{6}{12} =0.5
I=(5600)(0.024)(0.5)=67.2
We can conclude that the interest owed for a home improvement loan of $5600 after 6 months is $67.2
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