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kaheart [24]
3 years ago
11

A sales person at a car dealership earns A monthly salary of $2400 and $250 for each vehicle sold how many vehicles is the sales

person need to sell in a month to earn exactly $4000 right and solve an equation to determine your answer
Mathematics
1 answer:
Ivahew [28]3 years ago
8 0

Answer:

Step-by-step explanation:

Let x represent the number of vehicles that the sales person sold in a month.

The sales person at the car dealership earns a monthly salary of $2400 and $250 for each vehicle sold. Let y represent the total amount he earns for selling x vehicles in a month. Therefore,

y = 250x + 2400

To determine the number of vehicles that the sales person needs to sell in a month to earn exactly $4000, we would substitute

4000 for y. It becomes

4000 = 250x + 2400

250x = 4000 - 2400 = 1600

x = 1600/250

x = 6.4

He would have to sell 7 vehicles because he cannot sell 6.4 vehicles and if he sells 6 vehicles, it would be lesser than $4000

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Awarding brainliest!!!
Alex Ar [27]

Answer:

m=3

Step-by-step explanation:

6m+5-3m=7(m-1)

Combine like terms

3m+5=7(m-1)

Distribute the 7

3m+5=7m-7

Subtract 3m from each side

4m-7=5

Add 7 to each side

4m=12

Divide by 4

m=3

8 0
3 years ago
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The smallest of three consecutive integers is 24 less than the sum of the two larger integers. Find the three integers.
harkovskaia [24]

Answer:

21, 22, 23

Step-by-step explanation:

Construct equations representing each piece of information.

Three consecutive integers are three numbers in a row, for example, 1, 2 and 3.

Let's let

Integer 1 = X

Integer 2 = Y

Integer 3 = Z

X = (Y + Z) - 24

We also know that

Y = X + 1

and Z = X + 2

We can now sub this information into the first equation. We do this so that we can have only one variable in the equation.

X = (X+1) + (X+2) - 24

now solve for x,

X = 2X + 3 - 24

X = 2X - 21

-X = - 21

X = 21

So, the integers are 21, 22, 23

3 0
3 years ago
Find the slope of the line passing through the points (-6,9) and (-6, -7).
jeyben [28]

Answer:

Slope is Zero 0

Step-by-step explanation:

this is because the line is horizontal and therefore has no slope

6 0
3 years ago
A plane flying horizontally at an altitude of "1" mi and a speed of "430" mi/h passes directly over a radar station. Find the ra
Anika [276]

Answer:

The rate at which the distance from the plane to the station is increasing when it is 2 mi away from the station is 372 mi/h.

Step-by-step explanation:

Given information:

A plane flying horizontally at an altitude of "1" mi and a speed of "430" mi/h passes directly over a radar station.

z=1

\frac{dx}{dt}=430

We need to find the rate at which the distance from the plane to the station is increasing when it is 2 mi away from the station.

y=2

According to Pythagoras

hypotenuse^2=base^2+perpendicular^2

y^2=x^2+1^2

y^2=x^2+1               .... (1)

Put z=1 and y=2, to find the value of x.

2^2=x^2+1^2

4=x^2+1

4-1=x^2

3=x^2

Taking square root both sides.

\sqrt{3}=x

Differentiate equation (1) with respect to t.

2y\frac{dy}{dt}=2x\frac{dx}{dt}+0

Divide both sides by 2.

y\frac{dy}{dt}=x\frac{dx}{dt}

Put x=\sqrt{3}, y=2, \frac{dx}{dt}=430 in the above equation.

2\frac{dy}{dt}=\sqrt{3}(430)

Divide both sides by 2.

\frac{dy}{dt}=\frac{\sqrt{3}(430)}{2}

\frac{dy}{dt}=372.390923627

\frac{dy}{dt}\approx 372

Therefore the rate at which the distance from the plane to the station is increasing when it is 2 mi away from the station is 372 mi/h.

6 0
3 years ago
How will you know if the function is exponential given its equation?
Mashcka [7]

Answer: the "m" value (if using y=mx+b) will have" x" as an exponent

3 0
3 years ago
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