Payton B.
asked 07/09/15You deposit $100 in your savings account. The account has an interest rate of 2.5%. After 10 years how much will you have in your account?
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2 Answers By Expert Tutors
Jayden H. answered 07/09/15
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I am patient and love helping people learn.
For simple interest the equation is I = P*r*t where:
I = interest accrued over the t
P = principal or initial investment amount
r = interest rate in decimal form
t = period or time
This just gives you interest. Then add the interest to the principal A = P*(1+rt)
For compounding interest the equation is A = P(1+r/n)nt
n = number of periods per period.
Hope this helps Payton.
Andrew M.
If this is compound interest accrued annually then n= # periods in a year would be n=1
The interest rate r at 2.5% would be r=.025 as a decimal. t = time in years = 10 ... so for
compound interest using A = P(1+r/n)nt we get:
A = 100(1+.025/1)1(10) = 100(1.025)10
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07/09/15
Jacoby B. answered 07/09/15
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Math, Science and Test Prep Tutor
Payton,
A good equation to "keep on hand" is the simple interest equation.
A=P(1+rt)
where, P = principle amount (are the amount deposited), r = interest rate and t = time in years. A = the annuity are the resulting amount after x number of years.
Plugging the information in the right side of the equation you get: $100[1+(0.025)(10)]=A
Doing the math you should get $125. Just an additional $25 in ten years time.
Jacoby
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Jayden H.
07/09/15