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klasskru [66]
2 years ago
8

Substitution method x=-y 8x+3y=40

Mathematics
2 answers:
Pachacha [2.7K]2 years ago
6 0
Plug in -y for x in the equation
8(-y) + 3y = 40
5y = 40
y = 8
Delvig [45]2 years ago
4 0
The answer would be 16
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A father decided to give twenty five percent of his monthly income to his three children as their monthly allowance. The eldest
Helen [10]

Answer:

The youngest child will receive $2000

Step-by-step explanation:

A father decided to give 25% of his monthly income to his three children as their monthly allowance.

The eldest child got 45% of the allowance and the youngest got 20%. This means that the second child got:

100 - (45 + 20) = 100 - 65 = 35%

The second child received $3500.

Let the 25% of his monthly income be x.

Hence:

35% of x = 3500

=> \frac{35}{100} * x = 3500

x = \frac{3500 * 100}{35}

x = $10000

The amount the man shared among his children is $10000.

Hence, the youngest child (20%) will receive:

20% of $10000

\frac{20}{100} * 10000

= $2000

The youngest child will receive $2000.

3 0
3 years ago
You manage a risky portfolio with an expected rate of return of 18% and a standard deviation of 28%. The T-bill rate is 8%. Your
Fofino [41]

Answer:

y = 0.80

Step-by-step explanation:

Given:

- The expected rate of return for risky portfolio E(r_p) = 0.18

- The T-bill rate is r_f = 0.08

Find:

Investing proportion y of the total investment budget so that the overall portfolio will have an expected rate of return of 16%.

What is the proportion y?

Solution:

- The proportion y is a fraction of expected risky portfolio and the left-over for the T-bill compliance. Usually we see a major proportion is for risky portfolio as follows:

                                     E(r_c) = y*E(r_p) + (1 - y)*r_f

                                     y*E(r_p) + (1 - y)*r_f = 0.16

- Re-arrange for proportion y:

                                     y = ( 0.16 - r_f ) / (E(r_p) - r_f)

- Plug in values:

                                    y = ( 0.16 - 0.08 ) / (0.18 - 0.08)

                                    y = 0.80

- Hence, we see that 80% of the total investment budget becomes a part of risky portfolio returns.                                    

               

4 0
3 years ago
A prism with a length of 4 inches, height of 4 inches, and width of 3 inches. How many more 1 in. cubes does the container need
-Dominant- [34]

There are 10 number of 1 cubic inches box required to fill the container completely.

<h3>What is a cuboid?</h3>

It is defined as the six-faced shape, a type of hexahedron in geometry.

It is a three-dimensional shape.

We have:

A prism with a length of 4 inches, height of 4 inches, and width of 3 inches.

The volume of the prism box = 4×4×3 = 48 cubic inches

Here some data are missing.

We are assuming there are 38 1 cubic inches box already in the big box.

So,

= 48 - 38

= 10

Thus, there are 10 number of 1 cubic inches box required to fill the container completely.

Learn more about the cuboid here:

brainly.com/question/9740924

#SPJ1

3 0
2 years ago
What is this area? please help
Gnoma [55]

Answer:

60

Step-by-step explanation:

multiply the 20m x 6m

20x6=120. Is base x high

then

divide ➗ by 2

is equal to 60

I hope help you

4 0
2 years ago
Consider this system of linear equations:
Hatshy [7]
I believe the answer is D. because -12 + -1 equal -13 
5 0
3 years ago
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