Answer:[tex]\$1946[/tex]
Step-by-step explanation:
Given
Eric average income for four months is [tex]S_1=\$1450.25[/tex]
average Annual income [tex]S=\$1780.75[/tex]
Average income [tex]=\dfrac{\text{Total salary}}{\text{Time }}[/tex]
Sum of 4 month salary [tex]=4\times S_1[/tex]
Sum of 4 month salary [tex]=\$5801[/tex]
Average salary of remaining 8 months[tex]=S_2[/tex]
Sum of last 8 months salary[tex]=8\times S_2[/tex]
So average Salary [tex]S=\dfrac{4\times S_1+8\times S_2}{12}[/tex]
[tex]\Rightarrow 1780.75=\dfrac{4\times 1450.25+8\times S_2}{12}[/tex]
[tex]\Rightarrow 21,369=5801+8\times S_2[/tex]
[tex]\Rightarrow 15,568=8\times S_2[/tex]
[tex]\Rightarrow S_2=\dfrac{15,568}{8}=\$1946[/tex]
So, average salary of remaining 8 months is [tex]\$1946[/tex]
