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slega [8]
3 years ago
13

Paul Kim estimates that he will drive about 10,000 miles during the year and will have $3,460 in annual fixed costs. He projects

a cost per mile of $0.54 or less for his truck. What is the maximum annual variable cost he can have to reach his projection?
Mathematics
1 answer:
Mama L [17]3 years ago
5 0

Answer:

The maximum annual variable cost he can have to reach his projection is $1,940

Step-by-step explanation:

Given;

Number of miles drive per year N = 10,000 miles

Total annual Fixed cost F = $3,460

cost per mile(rate) r = $0.54 or less

Total cost = fixed cost + variable cost

Total cost = cost per mile × number of miles

Total cost = r × N = $0.54 × 10,000 = $5,400

Let V represent the total variable cost per year;

F + V ≤ r × N

Substituting the values;

3,460 + V ≤ 5,400

V ≤ 5,400 - 3,460

V ≤ 1,940

The maximum annual variable cost he can have to reach his projection is $1,940

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Answer:

55.6%

Step-by-step explanation:

The fraction 90/162 in its decimal equivalent is 0. 556.  Multiplying this by 100 yields the percentage 55.6%.

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A blue spruce grows an average of 6 inches per year and a hemlock grows an average of 4 inches per year.
natita [175]

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It will take 12 years for the trees to be at the same height.

Step-by-step explanation:

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Write a linear function f with the values f (0) =4 and f(3)=-8
Darya [45]

Answer:

Answer:

f(x) = - 4x + 4

Step-by-step explanation:

Step-by-step explanation:

A linear function has the form

f(x) = ax + b, thus

f(0) = a(0) + b = 4, that is

0 + b = 4 , hence b = 4

f(3) = 3a + b = - 8 ← substitute b = 4

3a + 4 = - 8 ( subtract 4 from both sides )

3a = - 12 ( divide both sides by 3 )

a = - 4, thus

f(x) = - 4x + 4

8 0
3 years ago
The sum of the interior angles of a regular polygon is 1800 degrees. How many sides does is have? *
Rudik [331]

Answer:

12 sides

Step-by-step explanation:

To find the number of sides of a regular polygon with the sum of interior angles of 1800 degrees, we will follow the steps below;

first write down the formula for finding sum of the interior angle of a polygon

s= (n-2)180

where s is the sum of the interior angle and n is the number of side

from the question given, sum of the interior angle s=1800 degrees

substitute s=1800 degree into the formula and solve for n

s= (n-2)180

1800 = (n-2)180

divide both-side of the equation by 180

1800/180 = n-2

10 = n - 2

add 2 to both-side of the equation

10 + 2 = n

12 = n

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The polygon have 12 sides

5 0
3 years ago
This my last one help
Lerok [7]

Answer:

A2 = 120

A3 = 60

A5 = 60

A6 = 120

Step-by-step explanation:

Angle 1 and 2 are supplementary, so A2 = 180 - 60, which is 120.

Angle 1 and 3 are vertical angles, which are always the same measure.

Angle 5 is alternate interior angles with 3, which means it is also 60.

Angle 6 is alternate interior angles with 4, which means it is 120.

3 0
3 years ago
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