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You borrow $18,000 to buy a new car. You will pay $3,240 in simple interest at the end of 6 years. What is the annual interest rate on your purchase? Use the formula: I = Prt.
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Dec 16, 2018
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You borrow $18,000 to buy a new car. You will pay $3,240 in simple interest at the end of 6 years. What is the annual interest rate on your purchase? Use the formula: I = Prt.
Mathematics
middle-school
Cbeleites
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The answer is: "
3 %
" .
______________________________________
Step-by-step explanation:
______________________________________
Given: I = Prt ; Solve for "r" ;
______________________________________
Rearrange the equation; to isolate "r" on one side of the equation; then plug in our given values to solve for "r" ;
_________________________________________________
I = P r t ;
_________________________________________________
Divide EACH SIDE of the equation by "P*t" (that is: "(Pt)" ;
to get: "r" on one side of the equation ;
_________________________________________________
I / Pt = (Prt) / (Pt) ;
to get: I / Pt = r ;
↔ r = I / Pt ;
GIven: Interest = I = 3240 ;
Principal = P = 18000 ;
time (in "years") = t = 6 ;
_________________________________________________
Plug in our given values to solve for " r " ("rate") ;
_________________________________________________
r = I / (P t) ;
→ r = 3240 / (18000 * 6) ;
→ r = 3240 / (108000) ;
→ r = 3/100 = 0.03 =
3%
__________________________
The answer is: "
3%
" .
__________________________
SmokeyShakers
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Dec 21, 2018
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SmokeyShakers
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