Answer:
It is not possible to make the investment under the given conditions.
Step-by-step explanation:
Let x, y and z be the amounts invested in bonds, certificates of deposit and mortgages respectively.
<u>1st equation
</u>
<em>“A bank wishes to invest a $100, 000 trust fund in three sources”
</em>
x + y + z = 100,000
<u>2nd equation
</u>
<em>“The bank wishes to realize an $8, 000, annual income from the investment and bonds paying 8%; certificates of deposit paying 7%; and first mortgages paying 10%”
</em>
<em>
</em>
0.8x + 0.7y + 0.1z = 8,000
3rd equation
<em>“the total amount invested in bonds and certificates of deposit must be triple the amount invested in mortgages”
</em>
<em>
</em>
x+y = 3z
and we have a <em>linear system of 3 equations with 3 unknowns
</em>
x + y + z = 100,000
0.8x + 0.7y + 0.1z = 8,000
x + y -3z = 0
This system has a unique solution given by
x = -470,000
y = 545,000
z = 25,000
Since x is negative, we deduct there is no way to do such an investment.
Answer:
(x+1)(x−6) = A
Step-by-step explanation:
with that template in mind, let's check,
down 4 units, D = -4
flipped over the y-axis, B = -1
The amount given to them is GHS300.00
Step-by-step explanation:
A man gave an amount of money to his three sons Yao, Esi and Ampa in the ratio of their years
- Yao is 15 years
- Esi is 10 years
- Ampa 5 years
- Esi had GHS100.00
We need to find the amount given to them
Let us use the ratio method to solve the problem
∵ Yao is 15 years old
∵ Esi is 10 years old
∵ Ampa is 5 years old
∴ The ratio between them is
→ Yao : Esi : Ampa
→ 15 : 10 : 5
Simplify the terms of the ratio by divide each term by 5
∴ The ratio between their ages in the simplest form is
→ Yao : Esi : Ampa
→ 3 : 2 : 1
∵ Esi had GHS100.00
→ Yao : Esi : Ampa : Total
→ 3 : 2 : 1 : 6 ( 3 + 2 + 1 = 6)
→ : 100 : : x
Use the cross multiplication to find x
∵ 2(x) = 100(6)
∴ 2x = 600
- Divide both sides by 2
∴ x = 300
∵ x represents the total money given to them
∴ The amount given to them is GHS300.00
The amount given to them is GHS300.00
Learn more:
You can learn more about the word problems in brainly.com/question/3950386
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