Problema Solution
Determine the amount of an investment if $700 is invested at an interest rate of 8% compounded monthly for 9 years.
Answer provided by our tutors
In order to solve your problem, let's use the Compount Interest Equation:
P = C*(1 + r/n)^(nt)
Let me just give a quick overview of the variables in this equation and what they mean.
The variable n is used to define the frequency of which the interest is compounded. Usually, interest is compounded yearly, but in this case, the interest is compounded monthly. So n = 12.
The variable P is the variable we are looking for. That is the future interest collected.
The variable C is the initial account, which in this case is $700.
The variable r is the rate of interest, which in this case is 8%, or .08
The variable t is how many years the investment continues, which in this case is t = 9 years.
So now let's plug into the equation and solve for P:
P = $700*(1 + .08/12)^(12*9)
P = $700*(1 + .00666)^(108)
P = $1434