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

Answer 1

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:

$$1.6\times {10}^4$$