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2 years ago

Nate's weekly pay increased from $710 to $770. Which of the following is closest to the

Mathematics

1 answer:

Maksim231197 [3]2 years ago

7 0

Answer:

about 7.2 I think

Step-by-step explanation:

if his pay went up all the way to 770 it would be going up either 7.8 or 7.2

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Sometimes a change of variable can be used to convert a differential equation y′=f(t,y) into a separable equation. One common ch

enot [183]

Answer:

$y=\frac{-7t^2+22t-7}{7t-22}$

Step-by-step explanation:

We are given that

Initial value problem

$y'=(t+y)^2-1$ , y(3)=4

Substitute the value $z=t+y$

When t=3 and y=4 then

z=3+4=7

$y'=z^2-1$

Differentiate z w.r.t t

Then, we get

$\frac{dz}{dt}=1+y'$

$z'=1+z^2-1=z^2$

$z^{-2}dz=dt$

Integrate on both sides

$-\frac{1}{z}dz=t+C$

$z=-\frac{1}{t+C}$

Substitute t=3 and z=7

Then, we get

$7=-\frac{1}{3+C}$

$21+7C=-1$

$7C=-1-21=-22$

$C=-\frac{22}{7}$

Substitute the value of C then we get

$z=-\frac{1}{t-\frac{22}{7}}$

$z=\frac{-7}{7t-22}$

$y=z-t$

$y=\frac{-7}{7t-22}-t$

$y=\frac{-7-7t^2+22t}{7t-22}$

$y=\frac{-7t^2+22t-7}{7t-22}$

8 0

2 years ago

which equation has an a-value of –2, a b-value of 1, and a c-value of 3? a. 0 = –2x2 x 3 b. 0 = 2x2 x 3 c. 0 = –2x2 3 d. 0 = 2x2

ehidna [41]

If you would like to find the matching equation, you can do this using the following steps:

ax^2 + bx + c = 0
a = -2
b = 1
c = 3

-2x^2 + x + 3 = 0

The correct result would be a. 0 = <span>-2x^2 + x + 3.</span>

8 0

2 years ago

Read 2 more answers

Every year the state department of education gathers statistical information from all schools to award a letter grade showing th

DanielleElmas [232]

A school principal used a bar graph to send his report. He assigned the horizontal axis to the student’s name and the vertical axis to the grades. If the x-axis (the horizontal axis) is the students name and the y-axis (the vertical axis) are the grades. There has to be multiple bar-graphs per student. Otherwise the data would be incomplete.

5 0

2 years ago

A person is standing exactly 36 ft from a telephone pole. There is a 30° angle of elevation from the ground to the top of the po

nika2105 [10]

Answer:

20.78feet

Step-by-step explanation:

The question made us to understand that the man is standing and also there is angle of elevation, then we need to draw a right triangle having a base equal to 36 feet with an angle from the base to the top of the pole which is 30 degrees.

tan= opposite side / adjacent side

Let height of the pole =h

Tan(30)= h/36

But tan 30degree= 1/√3

h= 36 × 1/√3

h= 20.78feet

Therefore, the height of the pole= 20.78feet

CHECK THE ATTACHMENT FOR DETAILED FIGURE

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2 years ago

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A new car is purchased for 20700 dollars. The value of the car depreciates are 11% per year. What will the value of the car be,

ASHA 777 [7]

Answer: $5,744.61

Step-by-step explanation:

year 1 = -2,277

year 2 = -2026.53

year 3 = -1803.61

year 4 = -1605.21

year 5 = -1428.64

year 6 = -1271.49

year 7 = -1131.62

year 8 = -1007.17

year 9 = -896.36

year 10 = -797.76

year 11 = -710

you are subtracting 11% from each year.

5 0

2 years ago