Problem

18. A couple is opening a savings account for a newborn baby. They start with $3,450 received in baby gifts. If no deposits or withdrawals are made, what is the balance of the account if it earns simple interest at 5% for 18 years?

Answer

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Answer

Final Answer: The balance of the account after 18 years will be 6555

Steps

Step 1 :The problem is asking for the balance of a savings account after 18 years with a starting balance of $3450 and an annual interest rate of 5%. This is a simple interest problem, so we can use the formula for simple interest to solve it.

Step 2 :The formula for simple interest is: A=P(1+rt) where: A is the amount of money accumulated after n years, including interest, P is the principal amount (the initial amount of money), r is the annual interest rate (in decimal), and t is the time the money is invested for, in years.

Step 3 :In this case, P=3450, r=5%=0.05, and t=18 years. We can substitute these values into the formula to find the final balance of the account.

Step 4 :Substituting the values into the formula, we get: A=3450(1+0.05×18)

Step 5 :Solving the equation, we find that A=6555.0

Step 6 :Final Answer: The balance of the account after 18 years will be 6555

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