The given table of values shows a linear relationship.What is the rate of change for this relationship?

A. 3

B. 1/3

C. -3

D. - 1/3

Answers

Answer 1

Answer:

Answer:

it shod be B. 1/3

Step-by-step explanation:

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Micah takes a job with a starting salary of $78,000 for the first year. He earns a 4% increase each year. How much does Micah make over seven years?

Answers

Answer:

Micah make 616066.97 $ over seven years

Step-by-step explanation:

This increase is in the form of a geometric progression.

Micah takes a job with a starting salary of $78,000

First term of GP = $78,000

He earns a 4% increase each year

Common ratio $=1+(4)/(100)=1.04$

Sum of n terms of GP with first term a and common ratio r.

$s_n=(a(r^n-1))/(r-1)$

How much does Micah make over seven years, so wee need to find sum of GP when n = 7.

$s_7=(78000(1.04^7-1))/(1.04-1)=616066.97\$$

Micah make 616066.97 $ over seven years

So his job has a starting salary of $78,000 and he gets a 4% increase each year. 4% of 78,000 is 3120 since 3120 divided by .04 equals 78,000, and 78,000+3120 = 81120 x 7= 567,840. So every year he can make $81120 and multiply that by 7, Mica would earn $567,840 every 7 years with the 4% increase in his salary every year.

Using standard form, writean equation to represent a
line passing through (-6.10)
with a slope of -1.

Answers

Answer:

y= -1x +4

Step-by-step explanation:

So if you meant (-6,10) then I have solved it.

Writing this in y= mx+b form we already have M

y= -1x + b

So let’s substitute by putting in then y and x

10 = -1(-6) + b

10 -6= 6 -6+ b

4 = b

In the above figure, ∠AOB = 80°. What does ∠ACB equal?

Answers

No diagram was provided but using the one retrieved from another source, we have a circle with a center O. Points A, B, and C are assigned around the circle. This means that ∠AOB forms a central angle. That means AB is equal to 80° as well. Now, ∠ACB forms an inscribed angle with arc AB. Recall that the value of the inscribed angle is half of the measurement of the arc. Since AB is 80°, then ∠ACB is (80/2) = 40°. Therefore, the answer is 40°.

A circle is defined by the equation x2 + y2 + 8x + 22y + 37 = 0. What are the coordinates for the center of the circle and the length of the radius?

Answers

The center of the circle is: (-4 ; -11) and the radius of the circle is r = 10

What is equation of circle?

The general equation for a circle is (x-a)² + (y-b)² = r², where ( a, b ) is the center and r is the radius.

Given:

x² + y² + 8x + 22y + 37 = 0.

Now, to find both coordinates and radius write the given equation in standard form:

(x-a)² + (y-b)² = r²

x² + 8x + y²+ 22y= -37

( x² + 2* x*4 + 4²)+( y² + 2*y* 11 + 11²) = -37 + 16 + 121

(x + 4)² + ( y+ 11)² = 100

(x + 4)² + ( y+ 11)² = 10²

So, center of the circle is: (-4 ; -11)

and the radius of the circle is r = 10

Learn more about this concept here;

brainly.com/question/16505663

#SPJ2

We can say that:
8x = -2ax
8 = -2a
a = -4

22y = - 2by
22 = -2b
b = -11

37 = a² + b² - r²
37 = (-4)² + (-11)² - r²
r² = 16 + 121 - 37
r² = 100
r = 10

With all this information, we can say that:
The center of the circle is: (-4 ; -11)
and the radius of the circle is r = 10

P.S:
(a - x)² + (b-y)² = r²
a² - 2ax + x² + b² -2by + y² - r² = 0
x² + y² -2ax - 2by + a² + b² - r² = 0

Which ordered pair would form a proportional relationship with the point graphed below?On a coordinate plane, point (negative 20, 40) is plotted.

Answers

Answer:

Step-by-step explanation:

Answer:

its B

Step-by-step explanation:

i did the test and got 100%

Explain how to solve the equation. 49= x/7Part 1
Select the correct choice below and fill in the answer box within your choice.
(Type a whole number.)

A . Subtract _from both sides.

B . Multiply both sides by _

C . Add_ to both sides.

D . Divide both sides by _