Respuesta :
EXPLANATION:
We are given that there are two investments made by Rafael. One yielded a 4% profit (Fund A), and the other yielded a 1% profit (Fund B). If both funds together returned a total of 2% profit then we can set up the following equation;
[tex]\left(A+B\right)*2\%=Profit[/tex]From the details given we can also deduce the following;
[tex]\left(A*4\%)\right?+\left(B*1\%\right)=\left(A+B\right)*2\%[/tex]Note that he invested $4000 in Fund A, and we can now substitute for the value of A into the equation;
[tex]\lparen4000*0.04)+\left(B*0.01\right)=\left(4000+B\right)*0.02[/tex]We can simplify the right side of the equation further;
[tex]160+0.01B=80+0.02B[/tex]Next we combine like terms;
[tex]\begin{gathered} 160-80=0.02B-0.01B \\ 80=0.01B \end{gathered}[/tex]Divide both sides by 0.01;
[tex]\begin{gathered} \frac{80}{0.01}=\frac{0.01B}{0.01} \\ 8000=B \end{gathered}[/tex]ANSWER:
Amount invested in Fund B = $8,000
