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yKpoI14uk [10]
3 years ago
10

Justin started a lawn service business. His rate to maintain an average size lawn is $35. It costs Justin $750 to start the busi

ness. And he estimates that his cost per lawn is $1.50. Write the cost function in terms of c(x) the revenue terms of r(x) and the profit function in terms p(x)
Mathematics
1 answer:
Ronch [10]3 years ago
4 0

Answer:

Step-by-step explanation:

Cost function: Fixed costs+ Variable costs

In this case Justin will have to pay $750 to star the business, this is his fixed cost. And then, he will have to pay $1,50 per each lawn, this is his variable cost because it depends on the number of lawns he sells.

C(x)= $750+$1,50x

Revenue function (R(x)):

R(x)= Price * Number of units sold (x)

R(x)= $35*x

Profit function ((P(x))= Revenue function (R(x))-Cost function (C(x))

P(x)= $35x- [$750+$1,50x]

P(x)= $33,5-$750

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In the diagram, lines AB , CD, and EF intersect at G
Ghella [55]

Answer:

D. 70°

Step-by-step explanation:

Given:

m<DGB = 35°

m<CGF = 75°

Required:

m<AGE

SOLUTION:

m<EGD = m<CGF (vertical angles are congruent)

m<EGD = 75°

m<AGE + m<EGD + m<DGB = 180° (angles on a straight line)

m<AGE + 75° + 35° = 180° (substitution)

m<AGE + 110° = 180°

Subtract 110 from each side of the equation

m<AGE = 180° - 110°

m<AGE = 70°

6 0
2 years ago
How do you distinguish between multiples and factors of a number, and justify your evaluation of the LCM &amp; GCF of a set of n
Reil [10]

Answer:

Look to the explanation

Step-by-step explanation:

- <u><em>Multiples of a number</em></u> are the numbers after multiplying the number

  by an integer

- Ex: The multiples of 2 are 2 , 4 , 6 , 8 , .......... because 2 × 1 = 2 ,

  2 × 4 = 4 , 2 × 3 = 6 and 2 × 4 = 8

- <u><em>Factors of a number</em></u> are the number multiplied together to get the

  number

- Ex: The factors of 6 are 1 , 2 , 3 , 6 because 1 × 6 = 6 and 2 × 3 = 6

- <u><em>Lowest common multiple of the set of numbers (LCM)</em></u> is the

  smallest number divisible by these numbers

- Ex: The lowest common multiple of 2 and 3 is 6 because 6 is divisible

  by 2 and 3 and there is no number before it divisible by both

- <u><em>Greatest common factor of the set of numbers (GCF)</em></u> is the highest

  common factor of these numbers

- Ex: The greatest common factor of 12 and 18 is 6 because

→ The factors of 12 are 1 , 2 , 3, 4, 6, 12

→ The factors of 18 are 1 , 2 , 3 , 6 , 9 , 18

→ The greatest common factor on both numbers is 6

3 0
3 years ago
Quick I need to finish this and I still have more questions after
OLEGan [10]

Answer:

1\frac{1}{2} or 1.5

Step-by-step explanation:

Now we know it's a dilation.  So we can use any two points.  I chose V and V'.

V: (3,6)

V': (2,4)

So how we get from 6 to 4?

4(x)=6\\x=\frac{6}{4} \\x=1.5

You can tell it's 1.5 aswell because 4 times 1 is 4 and 4 times 0.5 is 2.  Add them to get 6.  

Therefore, the dilation factor is 1.5.

3 0
2 years ago
A certain radioactive isotope has leaked into a small stream. Three hundred days after the​ leak, 3% of the original amount of t
sesenic [268]
If the half-life is t, then every t days, the amount of the radioactive isotope will be cut in half.
(1/2)^(number of half-lives) = 3%
number of half-lives = ln(0.03) / ln(0.5)
This gives the number of half-lives as 5.06.
Then 300 days = (5.06)(length of 1 half-life)
length of 1 half-life = 300 / 5.06 = 59.29 days
6 0
3 years ago
Use the given x and y values to write a direct variation<br> equation.<br> x = 5, y = 25
Anuta_ua [19.1K]

Answer:

k= 1/5

Step-by-step explanation:

x is proportional to y

x = ky (k is const.)

k = x/y

k= 5/25

k = 1/5

7 0
3 years ago
Read 2 more answers
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