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How much interest is earned on a CD with a 2-year fixed maturity, if the initial investment is [tex]\$660[/tex] and the annual interest rate is [tex]3.4\%[/tex]?

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

Round your answer to the nearest hundredth.


Sagot :

To determine the interest earned on a Certificate of Deposit (CD) with a fixed maturity of 2 years, an initial investment of [tex]$660, and an annual interest rate of 3.4%, we will use the simple interest formula: \[ \text{Interest} = \text{Principal} \times \text{Rate} \times \text{Time} \] Here's the step-by-step solution: 1. Identify the principal (initial investment): \[ \text{Principal} = \$[/tex]660
\]

2. Convert the annual interest rate from a percentage to a decimal:
[tex]\[ \text{Rate} = \frac{3.4}{100} = 0.034 \][/tex]

3. Determine the time period in years:
[tex]\[ \text{Time} = 2 \, \text{years} \][/tex]

4. Plug these values into the simple interest formula:
[tex]\[ \text{Interest} = \$660 \times 0.034 \times 2 \][/tex]

5. Perform the multiplication:
[tex]\[ \text{Interest} = 660 \times 0.034 = 22.44 \][/tex]
[tex]\[ 22.44 \times 2 = 44.88 \][/tex]

6. Round the result to the nearest hundredth:
[tex]\[ \text{Interest} = \$44.88 \][/tex]

Therefore, the interest earned on the CD over the 2-year period is [tex]\( \boxed{44.88} \)[/tex].