Questions: Dante deposits 400 into an account that pays simple interest at a rate of 5% per year. How much interest will he be paid in the first 2 years?

Dante deposits 400 into an account that pays simple interest at a rate of 5% per year. How much interest will he be paid in the first 2 years?
Transcript text: Dante deposits $\$ 400$ into an account that pays simple interest at a rate of $5 \%$ per year. How much interest will he be paid in the first 2 years?
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Solution

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Solution Steps

Step 1: Identify the Formula for Simple Interest

The formula for calculating simple interest is given by:

\[ I = P \times r \times t \]

where:

  • \( I \) is the interest,
  • \( P \) is the principal amount,
  • \( r \) is the rate of interest per year (in decimal form),
  • \( t \) is the time in years.
Step 2: Substitute the Given Values

In this problem, we are given:

  • \( P = 400 \) dollars,
  • \( r = 5\% = 0.05 \),
  • \( t = 2 \) years.

Substitute these values into the formula:

\[ I = 400 \times 0.05 \times 2 \]

Step 3: Calculate the Interest

Perform the multiplication:

\[ I = 400 \times 0.05 \times 2 = 40 \]

Final Answer

The interest Dante will be paid in the first 2 years is \(\boxed{40}\) dollars.

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