[see picture link]Area of part 1:A1=base*height/2=(8+2)*(8-2-2-1)/2=10*3/2=15 ft^2Area of part 2:A2=length*width=(8+2)*1=10 ft2Area of part 3:A3=length*width=8*2=16 ft2
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Answer:
prime numbers are the natural numbers greater than one that are not products of two smaller natural numbers
Step-by-step explanation:
Answer:
x = 5
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
(h, k ) are the coordinates of the vertex and a is a multiplier
h(x) = 19(x - 5)² + 6 ← is in vertex form
with vertex (h, k ) = (5, 6 )
The axis of symmetry is a vertical line passing through the vertex
with equation x = 5
Answer: 3 years
Because:
1 year=1050
2years=525
3years=262.5
Answer:
755 or more
Step-by-step explanation:
The profit is the difference between revenue and costs. We want the profit to be $2000 or more, and we have both fixed and variable costs.
Let x represent the number of puppets sold. Then the costs are ...
... 76.25 + 2.25x
The revenue is 5x.
The above-described relationship can then be written as
... 5x -(76.25 +2.25x) ≥ 2000
... 2.75x ≥ 2076.25 . . . . . add 76.25, collect terms
... x ≥ 2076.25/2.75 . . . . divide by the coefficient of x
... x ≥ 755
755 or more puppets must be sold to earn $2000 or more.