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Mathematics

2 answers:

pentagon [3]3 years ago

4 0

Answer:

C = 100 + 40n

The independent variable is n (number of months) and the dependent variable is C ( total cost)

Step-by-step explanation:

Let the total cost of the fitness center = C

Given fixed cost = $100

given cost per month = $40

let number of month = n

The total cost of the fitness center in a given 'n' month is calculated as;

C = 100 + 40n

From the above equation;

the independent variable is n (number of months) and

the dependent variable is C ( total cost)

anastassius [24]3 years ago

3 0

C = 100 + 40n The independent variable is n (number of months) and the dependent variable is C ( total cost)

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A rectangular prism had a volume of 252 cubic centimeters. The length of the prism is 14 centimeters and the width of the prism

mojhsa [17]

<h2>Answer:</h2>

A prism is a solid object having two identical bases, hence the same cross section along the length. Prism are called after the name of their base. A rectangular prism is a solid whose base is a rectangle. Multiplying the three dimensions of a rectangular prism: length, width and height, gives us the volume of a prism:

$V=L\times W\times H$

FOR THE ORIGINAL PRISM WE HAVE THE FOLLOWING DIMENSIONS:

$L=14cm \\ \\ W=6cm \\ \\ H=3cm$

In fact, the volume is $252cm^3$ because:

$V=14\times 6\times 3 \therefore V=252cm^3$

Now the height of the prism was changed from 3 centimeters to 6 centimeters to create a new rectangular prism, therefore:

FOR THE NEW PRISM WE HAVE THE FOLLOWING DIMENSIONS:

$L=14cm \\ \\ W=6cm \\ \\ H=6cm$

So the new volume is:

$V=14\times 6\times 6 \therefore V=504cm^3$

<h3><em>What do we know about the volume of the new prism?</em></h3>

<em>Well, the volume has increased from </em> $252cm^3 \ to \ 504cm^3$ <em>and since</em> $504=2\times 252$ <em>we can say that the new volume is two times the original volume.</em>