What is y equal two in this equation

Jacob plans to work at his family's restaurant this summer to make some extra money. His parents have agreed to pay him $9.75 pe

san4es73 [151]

Answer:

There is a direct relationship between the amount of money that Jacob earns and the number of hours he works.

Step-by-step explanation:

In math, a direct relationship exists when a change in one variable causes another variable to change in the same manner. E.g. if variable X increases, then variable Y will increase. If variable X decreases, then variable Y will decrease.

In this case, if Jacob works 25 hours per week, he will earn $243.75. If he works 30 hours, he will earn $292.50. But if he only works 20 hours, he will earn $195.

4 0

3 years ago

Two investments totaling $21,000 produce an annual income of $870. One investment yields 4% per year, while the other yields 10%

Citrus2011 [14]

Answer:

The amount invested at 4% is $20,500 and the amount invested at 10% is $500

Step-by-step explanation:

Let

x -----> the amount invested at 4%

(21,000 -x) ----> the amount invested at 10%

we know that

The interest of the amount invested at 4% plus the interest of the amount invested at 10% must be equal to $870

$4\%=4/100=0.04$

$10\%=10/100=0.10$

so

$0.04(x)+0.10(21,000-x)=870$

Solve for x

$0.04x+2,100-0.10x=870$

$0.10x-0.04x=2,100-870$

$0.06x=1,230$

$x=\$20,500$

$21,000-x=\$500$

therefore

The amount invested at 4% is $20,500 and the amount invested at 10% is $500

7 0

3 years ago

Carey is trying to decide between two guitars. The first had an original price of $160, but is on sale for $100. The second had

Zolol [24]

Subtract the sale price from the original price then divide the difference by the original price.

Guitar 1: 160 -100 = 60

60/160 = 0.375 x 100 = 37.5%

Guitar 2: 250 - 150 = 100

100/250 = 0.4 x 100 = 40%

The answer is the second guitar has a greater percent change of approximately 40%

3 0

3 years ago

Read 2 more answers

In ΔWXY, the measure of ∠Y=90°, XW = 53, YX = 28, and WY = 45. What is the value of the cosine of ∠X to the nearest hundredth?

kotegsom [21]

The value of ∠X = 58.11°, If ΔWXY, the measure of ∠Y=90°, XW = 53, YX = 28, and WY = 45.

Step-by-step explanation:

The given is,

In ΔWXY, ∠Y=90°

XW = 53

YX = 28

WY = 45

Step:1

Ref the attachment,

Given triangle XWY is right angled triangle.

Trigonometric ratio's,

$Cos$ ∅ $= \frac{Adj}{Hyp}$

For the given attachment, the trigonometric ratio becomes,

$Cos$ ∅ $= \frac{XY}{XW}$ .....................................(1)

Let, ∠X = ∅

Where, XY = 28

XW = 53

Equation (1) becomes,

$Cos$ ∅ $= \frac{28}{53}$

$Cos$ ∅ = 0.5283

∅ = $cos^{-1}$ (0.5283)

∅ = 58.109°

Result:

The value of ∠X = 58.11°, If ΔWXY, the measure of ∠Y=90°, XW = 53, YX = 28, and WY = 45.

4 0

3 years ago

Hi please help I have no confidence or motivation at this point and I just don't wanna fail. Thank you.

aleksandrvk [35]

Answer:

1) C. reject the null hypothesis; there is sufficient evidence to support the claim that “A” the students are NOT evenly distributed throughout the classroom

4) A. 7.815

7) D. fail to reject the null hypothesis; there is not sufficient evidence

i’m sorry my test doesn’t have questions 8 and 10 so i don’t know the answer

Step-by-step explanation:

i just took the test

7 0

3 years ago