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)

Answer 1

To express the amount $15,528.23 in the form of \( a \times 10^n \), where \( a \) is a single digit and \( n \) is an integer, we follow these steps:

1. First, convert the amount to scientific notation:

   $$ 15,528.23 = 1.552823 \times 10^4 $$

2. Now, we round \( a = 1.552823 \) to the nearest place value (single digit):

   Since the first digit (1) is already a single digit, we can round 1.552823 to 2 for easier representation under the criteria of a single digit.

Thus, the final expression in the form \( a \times 10^n \) will be:

$$ 2 \times 10^4 $$

Therefore, $15,528.23$ can be expressed as \( 2 \times 10^4 \).

Answer 2

How many times less is 102 than 106 ? Express your answer as an integer power of 10.(1 point) Responses 0.0001 0.0001 104 10 superscript 4 baseline 10,000 10,000 10−4