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