The Volume and Surface Area of Prism is 462 in² and 637 in³.
What is Prism?
Prism is a three-dimensional solid object in which the two ends are identical. It is the combination of the flat faces, identical bases and equal cross-sections.
Surface area of rectangular prism,
= 2( lb +bh +lh)
= 2 ( 13*7 + 7*7+ 13*7)
=2*231
= 462 in²
Now, Volume,
= bhl
= 13*7*7
= 637 in³
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The equation of a line is written in form y = Mx+ b
M is the slope, also known as the gradient.
You are given the gradient and one point , which is an x and y value. Using that solve for b:
1. Gradient = 2, x = 4, y= 3
3 = 2(4) + b
3 = 8 + b
Subtract 8 from both sides:
B = -5
The equation becomes y = 2x-5
2. Gradient = -3, x= -1, y = 7
7 = -3(-1) + b
7 = 3 + b
Subtract 3 from both sides:
B = 4
Equation becomes: y = -3 +4
Answer:
Part A: Profit = 400 + 70 s, Part B : $3900
Step-by-step explanation:
Part A:
We know that the expression is: 0.2 ( 2000 + 350 s ). Using the distributive property :
Profit = 0.2 · 2000 + 0.2 · 350 s = 400 + 70 s
Part B :
The company's yearly profit when: s = 50 ( the total number of students )
P ( 50 ) = 400 + 70 · 50 = 400 + 3500 = $3900
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