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ValentinkaMS [17]
3 years ago
7

Please tell me the answer as simple as you can

Mathematics
1 answer:
dalvyx [7]3 years ago
5 0

Answer:

9 lol

Step-by-step explanation:

sun of 4 and 5 is 9

difference between 8 and 7 is 9

multiply 9 by 1

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Kent invested $5000 in a retirement plan. He allocated x dollars of the money to a bond account that earns 4% interest per year
eduard

Answer:  The answers are given below.

Step-by-step explanation:  Given in the question that Kent invested $5000 in a retirement plan. He allocated x dollars of the money to a bond account that earns 4% interest per year and the rest to a traditional account that earns 5% interest per year.

(A) Let, '$y' be the amount of money Kent invested in the traditional account, then we have

y=5000-x.

This is the required expression.

(B) After 1 year, total money in the bond account will be

M_b=x+\dfrac{1\times 4\times x}{100}=x+\dfrac{x}{25}=\dfrac{26}{25}x,

and amount of money in the traditional account will be

M_t=(5000-x)+\dfrac{1\times 5\times (5000-x)}{1000}=(5000-x)+\dfrac{5000-x}{200}\\\\\\\Rightarrow M_t=\dfrac{201(5000-x)}{200}.

Therefore, total amount invested after 1 year will be

M=M_b+M_t=\dfrac{26}{25}x+\dfrac{201(5000-x)}{200}=\dfrac{208x+1005000-201x}{200}\\\\\\\Rightarrow M=\dfrac{7x+1005000}{200}.

(C) If x = $500, then we have

M=\dfrac{7\times 500+1005000}{200}=\dfrac{1008500}{200}=\dfrac{10085}{2}=5042.5.

Thus, Kent will have $5042.5 in his retirement plan after 1 year.

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