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

Answer 1

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:

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