Adam invests £450 into an account that pays 3.25% compound interest per year.Work out how much Adam will have in the account after 24 years.
Question
Adam invests £450 into an account that pays 3.25% compound interest per year.Work out how much Adam will have in the account after 24 years.
Solution
To calculate the amount Adam will have in his account after 24 years, we will use the formula for compound interest which is:
A = P (1 + r/n) ^ nt
Where: A = the amount of money accumulated after n years, including interest. P = principal amount (the initial amount of money) r = annual interest rate (in decimal) n = number of times that interest is compounded per year t = time the money is invested for in years
In this case: P = £450 r = 3.25% or 0.0325 in decimal form n = 1 (since the interest is compounded annually) t = 24 years
Substituting these values into the formula, we get:
A = 450 (1 + 0.0325/1) ^ (1*24) A = 450 (1 + 0.0325) ^ 24 A = 450 * 1.0325 ^ 24
Now, calculate the value of 1.0325 to the power of 24, then multiply the result by 450 to get the final amount.
A = 450 * (1.0325 ^ 24) A = 450 * 2.094217123 A = £942.897705
So, Adam will have approximately £942.90 in his account after 24 years.
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