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)$62.50$58.50$43.50$37.50
, and the total amount in her account is
Solution
To calculate the interest after 1 year and the total amount in Jessica's account, we can use the formula for simple interest:
where:
- (the principal or initial investment),
- (the annual interest rate of 6%).
Now, to find the total amount in the account after 1 year:
Final answer:
- After 1 year, the interest in Jessica's account is $37.50.
- The total amount in her account is $662.50.
Would you like further details on how compound interest works, or any other related questions?
Here are five questions that expand on the topic:
- How would the interest change if the rate was 8% instead of 6%?
- What would the total amount be after 2 years of compound interest?
- How does simple interest differ from compound interest?
- What if Jessica added more money after the first year? How would that affect the total?
- How much interest would Jessica earn after 5 years with the same rate?
Tip: Compound interest grows faster over time because it earns interest on both the initial investment and the accumulated interest.
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Math Problem Analysis
Mathematical Concepts
Simple Interest
Compound Interest
Formulas
Interest = P × r
Total Amount = P + Interest
Theorems
-
Suitable Grade Level
Grades 6-8
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