A bank offers a Certificate of Deposit (CD) at a 10% simple interest rate for 8 years. If an investor deposits $1,150.00 into the CD and does not make additional deposits, how much interest will be earned by the end of 8 years? Round to the nearest dollar.

1 answer

To calculate the interest earned on a Certificate of Deposit (CD) with simple interest, we can use the simple interest formula:

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

where:

  • \( I \) = interest earned
  • \( P \) = principal amount (initial deposit)
  • \( r \) = annual interest rate (in decimal)
  • \( t \) = time in years

Given:

  • \( P = 1,150.00 \)
  • \( r = 10% = 0.10 \)
  • \( t = 8 \) years

Now, plug in the values:

\[ I = 1,150.00 \times 0.10 \times 8 \]

Calculating step by step:

  1. Calculate \( 1,150.00 \times 0.10 \): \[ 1,150.00 \times 0.10 = 115.00 \]

  2. Now multiply \( 115.00 \) by \( 8 \): \[ 115.00 \times 8 = 920.00 \]

Thus, the total interest earned by the end of 8 years is \( I = 920.00 \).

Rounding this to the nearest dollar, the interest earned is:

\[ \boxed{920} \]