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How much interest is earned on a CD with a 2-year fixed maturity, if the initial investment is [tex] \$800 [/tex] and the annual interest rate is [tex] 3\% [/tex]?

[tex] \text{Interest} = \$[?] [/tex]

Round your answer to the nearest hundredth.


Sagot :

To determine how much interest is earned on a Certificate of Deposit (CD) with a 2-year fixed maturity, an initial investment of [tex]$800, and an annual interest rate of 3%, follow these steps: 1. Identify the given values: - Initial investment (Principal), \( P = \$[/tex] 800 \)
- Annual interest rate, [tex]\( r = 3\% = 0.03 \)[/tex]
- Time period, [tex]\( t = 2 \text{ years} \)[/tex]

2. Use the simple interest formula:
The formula for calculating simple interest is:
[tex]\[ \text{Interest} = P \times r \times t \][/tex]

3. Substitute the given values into the formula:
[tex]\[ \text{Interest} = 800 \times 0.03 \times 2 \][/tex]

4. Calculate the interest:
[tex]\[ \text{Interest} = 800 \times 0.03 = 24 \][/tex]
[tex]\[ \text{Interest} = 24 \times 2 = 48 \][/tex]

5. Round the result to the nearest hundredth:
The calculated interest, [tex]$48, is already a round number and does not require further rounding. Hence, the interest earned on the CD over the 2-year period is \$[/tex]48.00, rounded to the nearest hundredth.