Question
Estimate Large and Small Quantities Practice
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Question
It takes 10 years for a $100 monthly bank deposit to amount to $15,528.23 when invested at 5% interest compounded monthly. Round to the nearest place value, then express the amount $15,528.23 in the form of a×10n
where a
is single digit.(1 point)
Complete this assessment to review what you've learned. It will not count toward your grade.
5 of 55 of 5 Items
Question
It takes 10 years for a $100 monthly bank deposit to amount to $15,528.23 when invested at 5% interest compounded monthly. Round to the nearest place value, then express the amount $15,528.23 in the form of a×10n
where a
is single digit.(1 point)
Answers
GPT-4o mini
To express the amount $15,528.23 in the form of \( a \times 10^n \), where \( a \) is a single digit, we first need to convert the number into scientific notation.
The amount $15,528.23 can be rewritten as:
1. Move the decimal point to the left until only one non-zero digit remains on the left.
2. In this case, we move the decimal point 1 place to the left:
\( 15,528.23 = 1.552823 \times 10^4 \)
Now, we round \( 1.552823 \) to one decimal place:
\( 1.552823 \approx 1.6 \)
Therefore, we have:
\( 15,528.23 \approx 1.6 \times 10^4 \)
So, the final expression in the form \( a \times 10^n \) is:
**1.6 × 10⁴**
The amount $15,528.23 can be rewritten as:
1. Move the decimal point to the left until only one non-zero digit remains on the left.
2. In this case, we move the decimal point 1 place to the left:
\( 15,528.23 = 1.552823 \times 10^4 \)
Now, we round \( 1.552823 \) to one decimal place:
\( 1.552823 \approx 1.6 \)
Therefore, we have:
\( 15,528.23 \approx 1.6 \times 10^4 \)
So, the final expression in the form \( a \times 10^n \) is:
**1.6 × 10⁴**