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3 years ago

I need someone to explain how to figure this

Mathematics

1 answer:

erica [24]3 years ago

5 0

Well since 1275 is a monthly fee that would be your slope or m. Since your 3% commission is then your, y-intercept or b. So fine the commission by multiplying 1275 by .03, to find the commission. Then plug it all into slope intercept form which is, y=mx+b.

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Theequationforlinegcanbewrittenas y = –9 4 x − 1 . Line h , whichisperpendiculartoline g , includesthepoint (10, 4) . What isthe

KATRIN_1 [288]

Answer:

y-4 = 4/9(x-10)

Step-by-step explanation:

Given the equation of the line g to be y = -9/4 x - 1.

To find the equation of a line h perpendicular to this line, the following steps must be taken;

First find the slope of the known line g

The standard equation of a line is y = mx+c where

m is the slope

c is the intercept

Comparing this equation with the given equation y = -9/4 x -1, it can be seen that the slope of the line g is -9/4

Next is to find the slope of the line h

Since the line g is perpendicular to h, then the product of their slope will be -1 i.e mh*mg = -1

mh = -1.mg

mh = -1/(-9/4)

mh = -1*-4/9

mh = 4/9

Hence the slope of the line h is 4/9

Find the intercept of line h

To get this, you will substitute the slope m and the point into the equation y = mx+c

m = 4/9

(x,y) = (10,4)

4 = 4/9(10) + c

4 = 40/9 + c

c = 4-40/9

c = (36-40)/9

c = -4/9

Hence the intercept of the line h is -4/9

Finally, find the equation of the line h in slope-intercept form

The slope-intercept form of a line is expressed as y = mx+c

y-y0 = m(x-x0)

Given

m = -4/9

x0 = 10

y0 = 4

Substitute:

y-4 = 4/9(x-10)

Hence the equation in slope-intercept form is y-4 = 4/9(x-10)

7 0

3 years ago

If the sphere shown above has a radius of 10 units, then what is the approximate volume of the sphere?

katrin [286]

Answer:

4188.79

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

How many systems dose this equation have

allochka39001 [22]

Answer:

Step-by-step explanation:

6 0

2 years ago

Jamela is driving home from work in a car. At time t (measured in minutes) her distance from home (measured in miles) is given b

Ivanshal [37]

Answer:

2:1

Step-by-step explanation:

8 0

3 years ago

dan and cheryl paddled their canoe 40 mi in 5 hr with the current and 16 mi in 8 hr against the current. Find the speed of the c

Arada [10]

Let the speed of the current be x and the speed of the canoe in still water be y, then

$y+x= \frac{40}{5} =8 \\ y-x= \frac{16}{8} =2$

Adding the two equations, we have:

$2y=10 \\ \\ \Rightarrow y=5$

From any of the equations, we have that x = 2

Therefore, the speed of the current is 2 miles per hour while the speed of the canoe in still water is 5 miles per hour.

8 0

3 years ago