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Sean’s new car loan statement said he would pay $4866.25in interest from an interest rate of 8.5% over 5 years. How much did he borrow to buy his new car?

Short Answer

Expert verified

If Sean’s new car loan statement said he would pay $4866.25in interest from an interest rate of 8.5% over 5 years then $11450 he borrows to buy his new car?

Step by step solution

01

Step 1. Given information    

simple interestI=$4866.25

Interest rater=8.5%r=0.085

Timet=5

02

Step 2. Principal 

Consider the principal is P

Substitute simple interest, interest rate, and time in Simple interest formula

I=Prt4866.25=P(0.085)(5)4866.25=0.425P4866.250.425=PP=11450

So the principal was $11450.

03

Step 3. Verification  

Simple interest of principal $11450with interest rate 8.5% and time 5years is

I=PrtI=11450(0.085)(5)I=4866.25

simple interest is $4866.25

so the principal of $11450is correct.

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