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:
Where:
- (the principal amount),
- (the annual interest rate),
- year.
Substituting these values:
So, the interest after 1 year is $37.50.
The total amount in her account after 1 year is:
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:
- How would the total change if the interest was compounded semi-annually instead of annually?
- What would be the total amount after 2 years with the same interest rate?
- How does compound interest differ from simple interest?
- If Jessica invested at 8% interest instead of 6%, how much would she earn after 1 year?
- 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.
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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
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