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 × 10(n) where a

Question

is single digit.(1 point)

Answer 1

To express the amount \(15,528.23\) in the form \(a \times 10^n\), we first need to rewrite \(15,528.23\) in scientific notation.

1. Identify the first digit and the decimal point:

   • The first digit in \(15,528.23\) is \(1\).

2. Place the decimal point after the first digit:

   • We have \(1.552823\).

3. Count the number of places the decimal point has moved to the left to convert it to this format:

   • The decimal has moved \(4\) places to the left (from \(15,528.23\) to \(1.552823\)).

4. Thus, we can express \(15,528.23\) as: \[ 1.552823 \times 10^4 \]

5. To express this in the required form, we round \(1.552823\) to one significant digit:

   • Rounding \(1.552823\) gives us \(1.6\).

Now, we can express \(15,528.23\) in the desired form: \[ 1.6 \times 10^4 \]

So, in the format \(a \times 10^n\), where \(a\) is a single digit, the answer is: 1.6 × 10⁴.

Answer 2

the answer is 2 x 10⁴.