Math Problem Statement

How Should the Johnsons Manage Their Cash?

In January, Harry and Belinda Johnson had $10,660 in monetary assets: $1,100 in cash on hand; $1,200 in a statement savings account at First Credit Union earning 1.0 percent interest; $4,000 in a statement savings account at the Far West Savings Bank earning 1.1 percent interest; $2,260 in Homestead Credit Union earning a dividend of 1.3 percent; and $2,100 in their regular checking account at First Credit Union earning 1 percent.

If the Johnsons could put most of their monetary assets ($10,660) into a money market account earning 2.4 percent, how much would they have in the account after one year? Round your answer to the nearest dollar.

Solution

To determine how much the Johnsons would have in the account after one year if they put all their monetary assets ($10,660) into a money market account earning 2.4% interest, we can use the formula for simple interest (since compound interest isn't specified here):

A=P(1+r)A = P(1 + r)

Where:

  • AA is the amount in the account after one year.
  • PP is the principal (initial deposit), which is $10,660.
  • rr is the annual interest rate, which is 2.4% or 0.024.

Substitute the values into the formula:

A=10,660(1+0.024)A = 10,660(1 + 0.024) A=10,660×1.024A = 10,660 \times 1.024 A=10,916.18A = 10,916.18

After rounding to the nearest dollar, the Johnsons would have $10,916 in the money market account after one year.

Do you want details or have any questions?

Here are 5 related questions to expand the information:

  1. What is the difference between simple interest and compound interest?
  2. How would the amount change if the interest was compounded monthly?
  3. What factors should be considered when choosing a savings account or money market account?
  4. How do money market accounts compare to other investment vehicles like stocks or bonds?
  5. What other strategies can the Johnsons use to manage their monetary assets efficiently?

Tip: For higher returns, it's worth looking into accounts that offer compound interest rather than just simple interest.

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Math Problem Analysis

Mathematical Concepts

Simple Interest
Percentage Calculation

Formulas

A = P(1 + r)
Interest = Principal * Rate

Theorems

Simple Interest Calculation

Suitable Grade Level

Grades 10-12