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Answer :
Let's simplify the expression:
1. Start with the principal amount, which is [tex]$625.
2. We have an interest rate of 0.28 and a period of 146 days in a year that we consider to have 365 days.
3. First, calculate the fraction of the year that 146 days represents:
\[
\text{Time portion} = \frac{146}{365} = 0.4
\]
4. Next, calculate the interest for this period. Multiply the interest rate by the time portion:
\[
\text{Interest} = 0.28 \times 0.4 = 0.112
\]
5. Add this interest to 1 to determine the total multiplier for the principal amount:
\[
1 + \text{Interest} = 1 + 0.112 = 1.112
\]
6. Finally, multiply this total by the principal amount to get the final amount:
\[
\$[/tex]625 \times 1.112 = \[tex]$695
\]
Therefore, the simplified final amount is $[/tex]695.
1. Start with the principal amount, which is [tex]$625.
2. We have an interest rate of 0.28 and a period of 146 days in a year that we consider to have 365 days.
3. First, calculate the fraction of the year that 146 days represents:
\[
\text{Time portion} = \frac{146}{365} = 0.4
\]
4. Next, calculate the interest for this period. Multiply the interest rate by the time portion:
\[
\text{Interest} = 0.28 \times 0.4 = 0.112
\]
5. Add this interest to 1 to determine the total multiplier for the principal amount:
\[
1 + \text{Interest} = 1 + 0.112 = 1.112
\]
6. Finally, multiply this total by the principal amount to get the final amount:
\[
\$[/tex]625 \times 1.112 = \[tex]$695
\]
Therefore, the simplified final amount is $[/tex]695.
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