Question

A bank deposit yields $802.50 in interest every year. How many years will it take to yield 6.42 times 10^4 dollars? Write the answer in scientific notation.

Answer 1

To find out how many years it will take for the bank deposit to yield \( 6.42 \times 10^4 \) dollars in interest, we can set up the following equation:

\[
\text{Total Interest} = \text{Annual Interest} \times \text{Number of Years}
\]

In this case, we have:

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

Now, we solve for the number of years:

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

Calculating that:

\[
\text{Number of Years} = \frac{64200}{802.50} \approx 80.0
\]

Next, we express \( 80.0 \) in scientific notation. The number \( 80.0 \) can be written as:

\[
8.0 \times 10^1
\]

Thus, the answer in scientific notation is:

\[
\boxed{8.0 \times 10^1}
\]