Given the Amount compounded for one year as
[tex]A=P(1\text{ + }\frac{r}{100})^t[/tex]
Where A is the amount at the end of one year
P is the amount invested
r is the rate of compound interest
t is the duration of investment( one year)
Let the three investstment be named A, B, and C, such that the interest I on A, B and C sum up to 32000.
[tex]\begin{gathered} I_A+I_B+I_C=32,000\text{ ---- equation 1} \\ P_A+P_B+P_C=1,000,000\text{ ---- equation 2} \\ \end{gathered}[/tex]
Investment A:
[tex]\begin{gathered} A_{A_{}}=P_A(1+0.04)^1 \\ A_{A_{}}=P_A(1.04)^{}\text{ ---- equation 3} \end{gathered}[/tex]
Investment B:
[tex]\begin{gathered} A_{B_{}}=P_B(1+0.02)^1 \\ A_B=P_B(1.02)\text{ ---- equation 4} \end{gathered}[/tex]
Investment C:
[tex]\begin{gathered} A_C=P_C(1+0.06)^1 \\ A_C=P_C(1.06)\text{ ----- equation 5} \end{gathered}[/tex]
Meanwhile, the amount invested on A is four times that of C. this is given as
[tex]P_A=4\times Pc\text{ ----- equation 6}[/tex]
But
[tex]I\text{ = A - P}[/tex]
Thus, from equation 1, we have
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