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

Answer:

$2926.

Step-by-step explanation:

We have been given that the total amount the government can spend on the program is the equivalent of $$5.94\times 10^{11}$. The adult population of the country is approximately $2.03\times 10^{8}$. 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:

$\text{Money (in dollars) that each adult will receive}=\frac{5.94\times 10^{11}}{2.03\times 10^8}$

Using exponent quotient property $\frac{a^m}{a^n}=a^{m-n}$, we will get:

$\text{Money (in dollars) that each adult will receive}=\frac{5.94\times 10^{11-8}}{2.03}$

$\text{Money (in dollars) that each adult will receive}=\frac{5.94}{2.03}\times 10^3$

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

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

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

Therefore, each adult person will receive approximately $2926.