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3 years ago

What is the rate of change and initial value for Neil’s business and write and equeation for it

Mathematics

2 answers:

Travka [436]3 years ago

3 0

It is 1/8 divided by 8

DENIUS [597]3 years ago

3 0

Answer: $50 per year, y = 50x + 1200

Step-by-step explanation:

The rate of change is the slope of the two coordinates (0, 1200) & (3, 1350). Note that 2005 is represented as 0 years since the company started and 2008 represents 3 years since the company started.

Use the slope formula: $\dfrac{y_2-y_1}{x_2-x_1} = \dfrac{1350-1200}{3-0}=\dfrac{150}{3}=\$50 \text{ per year}$

To write the equation in slope-intercept form, input a point (x₁, y₁) and the slope (m) into the Point-Slope formula: y - y₁ = m(x - x₁) and solve for y

y - 1200 = 50(x - 0)

y - 1200 = 50x

y = 50x + 1200 ; where x represents the number of years the

company has been in business.

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A circle is centered at the point (-3, 2) and passes through the point (1, 5). The radius of the circle is ___ units. The point

mixas84 [53]

Answer:

The radius is 5 units

(-7,-1) and (-7,5) lies on the circle

Step-by-step explanation:

Use the distance formula to find the distance between the center and the given point that gives you the radius.

$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

The center is (-3,2) and the point on the circumference is (1,5)

$r=\sqrt{(1--3)^2+(5-2)^2}$

$r=\sqrt{(4)^2+(3)^2}$

$r=\sqrt{16+9}$

$r=\sqrt{25}$

$\therefore r=5$

The radius is 5 units.

The equation of the circle is given by:

$(x--3)^2+(y-2)^2=5^2$

$(x+3)^2+(y-2)^2=25$

When x=-7, we obtain y by substituting into the equation of the circle:

$(-7+3)^2+(y-2)^2=25$

$(-4)^2+(y-2)^2=25$

$16+(y-2)^2=25$

$(y-2)^2=25-16$

$(y-2)^2=9$

$y-2=\pm \sqrt{9}$

$y=2\pm 3$

$y=-1$ or y=5

Therefore (-7,-1) and (-7,5) lies on the circle.

6 0

4 years ago

I need to find the X and Y values please help thanks

Anna35 [415]

Answer:

the 5y-23 equals 4 2x+13 equals 6.500

Step-by-step explanation:

thats what i worked out and got

7 0

3 years ago

Mike received a 10% raise each month for 3

s2008m [1.1K]

Answer:

his salary after three months would be 1300

Step-by-step explanation:

10 percent of 1000 is a hundred and multiply that by 3, it would equal 300 and add that to the 1000.

7 0

3 years ago

Need help ASAP please and thank you

denpristay [2]

The answer is 4, because of you count the number of Doty’s on the 6 and up, you would count 4 dots!

3 0

4 years ago

Read 2 more answers

PLEASE ANSWER ASAP

posledela

This is how you set up a percent of error proportion:
Amount of error x(Unknown percent)
Actual value = 100(Percents are out of hundreds)

So if you fill it in, it becomes 4 x
 80 =100
Cross multiply, 400= 80x.
Solve.
x=5 so percent error is 5%

5 0

3 years ago