A trust account client has $340,000 to be invested. The investment choices have current yields of 8%, 7%, and 10%. Suppose that the investment goal is to earn interest of $25,900. (a) Find a general description for the amounts invested at the three rates. (Let x - the amount invested at 8%, y- the amount invested at 7%, and z the amount invested at 10%. Express your answer in terms of z.) (x, v. )-( (b) If $15,000 is invested at 10%, how much should be invested at each of the other rates? 7% What if $31,000 is invested at 10%? 8% 7% (c) What is the minimum amount that should be invested at 7%? In this case how much should be invested at the other rates? 8% 10% (d) What is the maximum amount that should be invested at 7%? In this case how much should be invested at the other rates? 10%

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A trust account client has $340,000 to be invested. The investment choices have current yields of 8%, 7%, and 10%. Suppose that the investment goal is to earn
interest of $25,900.
(a) Find a general description for the amounts invested at the three rates. (Let x = the amount invested at 8%, y = the amount invested at 7%, and
z = the amount invested at 10%. Express your answer in terms of z.)
(x, y, 2) =
(b) If $15,000 is invested at 10%, how much should be invested at each of the other rates?
8% $
7%
What if $31,000 is invested at 10%?
8% $
7% $
(c) What is the minimum amount that should be invested at 7%?
In this case how much should be invested at the other rates?
8%
10%
(d) What is the maximum amount that should be invested at 7%?
In this case how much should be invested at the other rates?
8%
10%
Transcribed Image Text:A trust account client has $340,000 to be invested. The investment choices have current yields of 8%, 7%, and 10%. Suppose that the investment goal is to earn interest of $25,900. (a) Find a general description for the amounts invested at the three rates. (Let x = the amount invested at 8%, y = the amount invested at 7%, and z = the amount invested at 10%. Express your answer in terms of z.) (x, y, 2) = (b) If $15,000 is invested at 10%, how much should be invested at each of the other rates? 8% $ 7% What if $31,000 is invested at 10%? 8% $ 7% $ (c) What is the minimum amount that should be invested at 7%? In this case how much should be invested at the other rates? 8% 10% (d) What is the maximum amount that should be invested at 7%? In this case how much should be invested at the other rates? 8% 10%
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