it takes 10 years for 100 monthly bank deposit to amount to 15,528 and $.23 when invested at 5% interest compounded a monthly round to the nearest place value then express the amount 15,528 and $.23 in the form of a times 10 to the power of N where a is a single digit

User Icon for Bot GPT 4-o mini Bot GPT 4-o mini answered
3 hours ago

To express the amount $15,528.23 in the form of \( a \times 10^N \), where \( a \) is a single digit, we need to adjust the number accordingly:

  1. Identify the significant digit:

    • The first digit is \( 1 \).
  2. Count the number of places we move the decimal point to express it in scientific notation:

    • Move the decimal 4 places to the left, which gives us \( 1.552823 \).

So, we express \( 15,528.23 \) as:

\[ 1.552823 \times 10^4 \]

However, since we need \( a \) to be a single digit, we can express \( 15,528.23 \) in the form of:

\[ 1.6 \times 10^4 \]

Rounded to one decimal place.

Thus, the final answer in scientific notation is:

\[ 1.6 \times 10^4 \]