Math Problem Statement

Jessica invested $625 in an account that compounds interest annually at a rate of 6%.

Use the drop down to complete the sentence.

After 1 year, the interest in Jessica’s account is (Select) (Select) $62.50 $58.50 $43.50 $37.50 , and the total amount in her account is

Solution

To calculate the interest Jessica earns after 1 year, we use the formula for simple interest:

Interest=P×r×t\text{Interest} = P \times r \times t

Where:

  • P=625P = 625 (the principal amount),
  • r=6%=0.06r = 6\% = 0.06 (the annual interest rate),
  • t=1t = 1 year.

Substituting these values:

Interest=625×0.06×1=37.50\text{Interest} = 625 \times 0.06 \times 1 = 37.50

So, the interest after 1 year is $37.50.

The total amount in her account after 1 year is:

Total amount=Principal+Interest=625+37.50=662.50\text{Total amount} = \text{Principal} + \text{Interest} = 625 + 37.50 = 662.50

Thus, after 1 year:

  • The interest is $37.50, and
  • The total amount in her account is $662.50.

Would you like more details or have any other questions?

5 Related Questions:

  1. How would the total change if the interest was compounded semi-annually instead of annually?
  2. What would be the total amount after 2 years with the same interest rate?
  3. How does compound interest differ from simple interest?
  4. If Jessica invested at 8% interest instead of 6%, how much would she earn after 1 year?
  5. What happens to the total amount if Jessica withdraws $100 before the end of the first year?

Tip:

Compound interest grows faster over time than simple interest because it earns interest on both the initial principal and accumulated interest.

Ask a new question for Free

By Image

Drop file here or Click Here to upload

Math Problem Analysis

Mathematical Concepts

Simple Interest
Compound Interest
Annual Interest Rate

Formulas

Interest = Principal × Rate × Time
Total Amount = Principal + Interest

Theorems

-

Suitable Grade Level

Grades 6-8