Question
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 point)
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Answers
GPT-4o mini
To calculate the simple interest earned on a Certificate of Deposit (CD), you can use the formula for simple interest:
\[
\text{Interest} = P \times r \times t
\]
where:
- \( P \) is the principal amount (the initial deposit),
- \( r \) is the annual interest rate (expressed as a decimal),
- \( t \) is the time in years.
Given:
- \( P = 1,150.00 \) dollars,
- \( r = 10\% = 0.10 \),
- \( t = 8 \) years.
Substituting the values into the formula:
\[
\text{Interest} = 1,150.00 \times 0.10 \times 8
\]
Now, calculate:
\[
\text{Interest} = 1,150.00 \times 0.10 = 115.00
\]
Then:
\[
\text{Interest} = 115.00 \times 8 = 920.00
\]
Thus, the total interest earned by the end of 8 years is
\[
\boxed{920}
\] dollars.
\[
\text{Interest} = P \times r \times t
\]
where:
- \( P \) is the principal amount (the initial deposit),
- \( r \) is the annual interest rate (expressed as a decimal),
- \( t \) is the time in years.
Given:
- \( P = 1,150.00 \) dollars,
- \( r = 10\% = 0.10 \),
- \( t = 8 \) years.
Substituting the values into the formula:
\[
\text{Interest} = 1,150.00 \times 0.10 \times 8
\]
Now, calculate:
\[
\text{Interest} = 1,150.00 \times 0.10 = 115.00
\]
Then:
\[
\text{Interest} = 115.00 \times 8 = 920.00
\]
Thus, the total interest earned by the end of 8 years is
\[
\boxed{920}
\] dollars.
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