Question

The government of a foreign country has recently decided to give a tax rebate to each of its adult citizens. The total amount the government can spend on the program is the equivalent of $5.94 × 1011. If the adult population of the country is approximately 2.03 × 108, what is a good estimate of the amount of money each person will receive (in dollars)?

Answer 1

$2926.

Explanation:

We have been given that the total amount the government can spend on the program is the equivalent of $
`$5.94* 10^(11)`. The adult population of the country is approximately
`2.03* 10^(8)`. We are asked to find the amount of money (in dollars) that each adult will receive.

To solve our given problem, we will divide total money by total adult population as:

`\text{Money (in dollars) that each adult will receive}=(5.94* 10^(11))/(2.03* 10^8)`

Using exponent quotient property
`(a^m)/(a^n)=a^(m-n)`, we will get:

`\text{Money (in dollars) that each adult will receive}=(5.94* 10^(11-8))/(2.03)`

`\text{Money (in dollars) that each adult will receive}=(5.94)/(2.03)* 10^3`

`\text{Money (in dollars) that each adult will receive}=2.92610837438* 1000`

`\text{Money (in dollars) that each adult will receive}=2926.10837438`

`\text{Money (in dollars) that each adult will receive}\approx 2926`

Therefore, each adult person will receive approximately $2926.