Math Problem Statement

A teacher opened an investment account at a bank. At the end of each year, the bank paid 6.4% annual simple interest on the money in the account. The table shows the activity in the account for three years.

Investment Account Activity Year Beginning Balance for Year Amount Deposited at Beginning of Year New Balance Interest Rate Interest Earned Ending Balance for Year 1 $0.00 $500.00 $500.00 6.4% $32.00 $532.00 2 $532.00 $500.00 $1,032.00 6.4% $66.05 $1,098.05 3 $1,098.05 $500.00 $1,598.05 6.4% $102.28 $1,700.33

Which statement explains why the balance in this account has grown? A.The balance in the account has grown only because regular deposits were made to the account. B.The balance in the account has grown because regular deposits were made to the account and interest was earned on the previous year’s balance. C.The balance in the account has grown only because interest was earned on the account. D.There is not enough information to determine why the balance in the account has grown.

Solution

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Math Problem Analysis

Mathematical Concepts

Simple Interest
Annual Interest Calculation
Linear Growth

Formulas

Simple Interest = Principal × Rate × Time
New Balance = Beginning Balance + Deposit + Interest Earned

Theorems

Simple Interest Theorem

Suitable Grade Level

Grades 6-8