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?
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?
Solution
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.