Mark has $100,000 to invest. his financial consultant advises him to diversify his investment in three types of bonds: short-term, intermediate-term, and long-term. the short-term bonds pay 4%, the intermediate-term bonds pay 5%, and the long-term bonds pay 6% simple interest per year. mark wishes to realize a total annual income of 5.25%, with equal amounts invested in short- and intermediate-term bonds. how much should he invest in each type of bond?

Short-Term investment: 5000$

Intermediate-Term investment: 65000$

Long-Term investment: 30000$

Step-by-step explanation:

To construct our first equation lets define sort-term bond investment as x, long-term investment as y.

So the equation is:

From the equation it is found that:

Instead of y, if we put 25000+x the equation will be as following:

From the equation it is found that:

Short-Term investment is 5000$

Long-Term investment is 30000$

Rest of the money is Intermediate-Term investment 65000$

d

step-by-step explanation:

given

y + 3 = - 4(x - 2) ← distribute the parenthesis

y + 3 = - 4x + 8 ( subtract 3 from both sides )

y = - 4x + 5 → d

step-by-step explanation: