SOLUTION: "If an investment of $2000 grows to $2814.20 in seven years with interest compounded annually, what is the interest rate?

Algebra ->  Human-and-algebraic-language -> SOLUTION: "If an investment of $2000 grows to $2814.20 in seven years with interest compounded annually, what is the interest rate?      Log On


   



Question 1088922: "If an investment of $2000 grows to $2814.20 in seven years with interest compounded annually, what is the interest rate?
Found 2 solutions by Boreal, MathTherapy:
Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
2840=2000(1+r)^7
divide both sides by 2000
1.42=(1+r)^7
ln(1.42)=7 ln (1+r)
rounding only at the end, divide by 7 both sides
ln (1+r)=0.0500
raise both sides to the e power
(1+r)=1.0514
r=0.0514 or 5.14%
check
1.0514^7=1.4202, within rounding error.

Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!
"If an investment of $2000 grows to $2814.20 in seven years with interest compounded annually, what is the interest rate?
Correct answer: highlight_green%28matrix%281%2C3%2C+%22.05%2C%22%2C+or%2C+%225%25%22%29%29
The setup is this:
%222%2C814.2%22%2F%222%2C000%22+=+%281+%2B+i%29%5E7
%28%222%2C814.2%22%2F%222%2C000%22%29%5E%281%2F7%29+-+1+=+i
Calculate that to get the above answer.
Accept NO OTHER answer!