Paul has $90,000 to invest. His intent is to earn 12% interest on his investment. He can invest part of his money at 7% interest
and part at 13% interest. How much does Paul need to invest in each option to make a total 12% return on his $90,000?
1 answer:
If Paul wants to gain 12% interest, he would expect that the money he will have after a certain period of time is:
Future worth = 90000(1+0.12) = $100,800
Let's distribute the future worth to the different interest rates. The solution is as follows:
x + y = 90,000 --> eqn 1
100,800 = x(1+0.07) + y(1+0.13) --> eqn 2
Solving the equations simultaneously,
100,800 = x(1+0.07) + (90,000 - x)(1+0.13)
Solving for x:
x = 15,000
y = 90 000 - 15 000 = 75,000
Therefore, Paul should place $15,000 to the 7% interest and $75,000 to the 13% interest.
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Answer:
Third one 33333333333333333
There’s no solution because x is less than 3 there is no way is greater than 5.
Hope this helps!
We will find the numerator step by step for each expression:
For 10/15 = x / 60
x = (10/15) * (60)
x = 40
For x / 108 = 4/9
x = (4/9) * (108)
x = 48
For 7/11 = x / 121
x = (7/11) * (121)
x = 77
For x / 144 = 2/6
x = (2/6) * (144)
x = 48
Answer:
y>=1*x+2
Step-by-step explanation:
y>=k*x+n
we know that 2=k+n and 0=-2k+n
so 4=2k+n and 0=-2k+n
now 4=2n so n=2
now k=1
so y>=1*x+2
