Math Problem Statement

Ciara deposits $100 into a savings account that earns 5% simple interest per year.

How much interest will Ciara earn in 1 year? A.$1 B.$5 C.$10 D.$50

Solution

The formula for calculating simple interest is:

I=P×r×tI = P \times r \times t

Where:

  • II is the interest,
  • PP is the principal amount (initial deposit),
  • rr is the interest rate (in decimal form),
  • tt is the time in years.

For this problem:

  • P=100P = 100,
  • r=0.05r = 0.05 (since 5% = 0.05),
  • t=1t = 1 year.

Now calculate the interest:

I=100×0.05×1=5I = 100 \times 0.05 \times 1 = 5

Thus, Ciara will earn $5 in interest after 1 year.

The correct answer is B. $5.

Would you like more details on simple interest or another explanation?

Here are 5 related questions to explore further:

  1. How is simple interest different from compound interest?
  2. How much interest would Ciara earn in 3 years with the same conditions?
  3. What would the interest be if the rate were 7% instead of 5%?
  4. If Ciara deposits $200 instead of $100, how would the interest change?
  5. What formula is used to calculate the total amount in the account after interest?

Tip: Always convert percentages to decimal form before using them in formulas.

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Math Problem Analysis

Mathematical Concepts

Simple Interest
Percentages
Basic Arithmetic

Formulas

I = P × r × t (Simple Interest Formula)

Theorems

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Suitable Grade Level

Grades 6-8