Answer:
At the end of 3 years, we could save upto $ 2975.4 with an interest rate of 3.3 %
Step-by-step explanation:
If we are putting $ 2700 into our IRA ( individual Retirement Account) for 3 years and we are earning 3.3% profit every year, we need to find the total amount saved at the end of 3 years.
Since the interest is calculated for more than 1 year, this is an example of compound interest.
The formula used is:
[tex]FV = P ( 1 + r/n) ^n^t[/tex]
where FV = future value
P= Principal amount of money deposited
r= annual interest rate ( in decimal form)
n= number of times interest rate is compounded (yearly)
t= time period
So for our given guestion:
P= $2,700
r = 3.3 % = 0.033
n= 1
t= 3
putting our values in the formula
[tex]FV = P ( 1 + r/n) ^n^t[/tex]
[tex]FV = 2700 ( 1+ 0.033 / 1 ) ^ 1 ^* ^ 3[/tex]
[tex]FV = 2700 (1.033) ^ 3[/tex]
[tex]FV = 2975.4[/tex]
So, at the end of 3 years, we could save upto $ 2975.4 with an interest rate of 3.3 %