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 $[tex]$5.94\times 10^{11}[/tex]. The adult population of the country is approximately [tex]2.03\times 10^{8}[/tex]. 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:
[tex]\text{Money (in dollars) that each adult will receive}=\frac{5.94\times 10^{11}}{2.03\times 10^8}[/tex]
Using exponent quotient property [tex]\frac{a^m}{a^n}=a^{m-n}[/tex], we will get:
[tex]\text{Money (in dollars) that each adult will receive}=\frac{5.94\times 10^{11-8}}{2.03}[/tex]
[tex]\text{Money (in dollars) that each adult will receive}=\frac{5.94}{2.03}\times 10^3[/tex]
[tex]\text{Money (in dollars) that each adult will receive}=2.92610837438\times 1000[/tex]
[tex]\text{Money (in dollars) that each adult will receive}=2926.10837438[/tex]
[tex]\text{Money (in dollars) that each adult will receive}\approx 2926[/tex]
Therefore, each adult person will receive approximately $2926.
