SOLUTION: Can anyone help me with the following? If you deposit $2500 in an account paying 4.5% interest compounded semiannually, how much will be in the account after 8 years? (Round to th

Algebra ->  Finance -> SOLUTION: Can anyone help me with the following? If you deposit $2500 in an account paying 4.5% interest compounded semiannually, how much will be in the account after 8 years? (Round to th      Log On


   



Question 430373: Can anyone help me with the following?
If you deposit $2500 in an account paying 4.5% interest compounded semiannually, how much will be in the account after 8 years? (Round to the nearest cent)
Thank you!!

Found 2 solutions by mananth, ikleyn:
Answer by mananth(16949) About Me  (Show Source):
You can put this solution on YOUR website!
Principal P = 2500
Amount= A
years=n 8
compounded 2 times a year
Rate = 4.50 0.02
Amount = P*((n+r)/n)^n
Amount =2500*(1+0.02)^8 *2
Amount =2500*(1 +0.02)^16
2500 *(1.02)^16
Amount =3569.05


Answer by ikleyn(53570) About Me  (Show Source):
You can put this solution on YOUR website!
.
If you deposit $2500 in an account paying 4.5% interest compounded semiannually,
how much will be in the account after 8 years? (Round to the nearest cent)
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        Calculations in the post by @mananth are presented incorrectly.
        I came to bring a correct solution.


Principal P = 2500
Interest rate = 4.5% = 0.045 compounded semiannually.
years = 8.


Use the standard formula for the future value

    FV = P%2A%281%2B0.045%2F2%29%5E%282%2A8%29 = 2500%2A%281%2B0.045%2F2%29%5E16 = 3569.05 dollars.


ANSWER.  In 8 years, the account will be $3569.05.

Solved.

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I wrote this my post to overlay incorrect formulas in the post by @mananth,
that may confuse a reader.