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bellam302
04.07.2020 •
Mathematics
A retired woman has $90,000 to invest but needs to make $3,000 a year from the interest to meet certain living expenses. One bond investment pays 15% annual interest. The rest of it she wants to put in a CD that pays 7%. If we let x be the amount the woman invests in the 15% bond, how much in dollars will she be able to invest in the CD?
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Ответ:
any amount from 0 to 90000 USD
Step-by-step explanation:
x USD will be paid for 15% bonds that makes x*0.15 USD /per year
So 90000-x will be paid for 7% bonds , that makes (90000-x)*0.07 USD/per year= 6300-0.07x USD / per year.
So the total amount the woman gets from both investments yearly should be not less than 3000 USD/per year
Otherwise
0.15*x+6300-0.07*x>=3000
0.08*x+6300>=3000
The inequation is correct for any x>=0
The woman will be able invest in CD any amount from 0 to 90000 USD.
If we suppose that investments in CD more safe we'd recommend to the lady to invest all money to CD.
Ответ:
see below
Step-by-step explanation:
$3000 is not a right number or $90000
Assume n instead of $3000, then
x*0.15+(90000-x)*0.07 = nis required equation
0.15x+6300-0.07x=n0.08x+6300=n0.08x= n-6300x= (n-6300)/0.08 is the amount invested in the 15% bond
Consider n> $6300
Then 90000 -x will be the amount invested in the CD
Ответ: