QuestionA bank deposit yields $802.50 in interest every year. How many years will it take to yield 6.42×104 dollars? Write the answer in scientific notation.(1 point)Responses8×102 8 times 10 squared8×104 8 times 10 superscript 4 baseline8×1018 times 10 superscript 1 baseline1.25×102

To find out how many years it will take to yield \( 6.42 \times 10^4 \) dollars in interest at a rate of $802.50 per year, we can use the formula:

\[
\text{Years} = \frac{\text{Total Interest}}{\text{Annual Interest}}
\]

Substituting the given values:

\[
\text{Years} = \frac{6.42 \times 10^4}{802.50}
\]

Now, let's calculate the result:

1. First, divide \( 6.42 \times 10^4 \) by \( 802.50 \):

\[
\text{Years} \approx 80.00
\]

2. Now, let's express \( 80.00 \) in scientific notation:

\[
80.00 = 8.0 \times 10^1
\]

Thus, the answer is:

\[
\boxed{8 \times 10^1}
\]