Answer: h(x) = -1200x^2 + 1950x + 4950
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Work Shown:
f(x) = revenue from the north
f(x) = -750x^2 + 1500x + 2250
g(x) = revenue from the south
g(x) = -450x^2 + 450x + 2700
h(x) = total revenue, ie add the two revenues
h(x) = f(x) + g(x)
h(x) = (-750x^2+1500x+2250)+(-450x^2+450x+2700)
h(x) = -1200x^2 + 1950x + 4950
Answer:
4 cents
Step-by-step explanation:
4.48 divided by 112 = 0.04
Answer:
we conclude that the total number of perfect odd squares between 5 and 211 will be: 6
Step-by-step explanation:
Let us check by taking squares
As taking 14² = 256 would exceed 211, and 1² = 1 is smaller than 5.
Therefore, we conclude that the total number of perfect odd squares between 5 and 211 will be: 6
Answer:
A
Step-by-step explanation:
a geometric sequence is where we multiply a factor from element to element.
a1 = $900
a2 = 981 = a1 × f = 900 ×
a3 = 1069.29 = a2 × f = a1 × f × f = s1 × f²
so, now let's try and get f.
remember, 981 = 900 × f
f = 981/900 = 109/100 = 1.09
just to control, we check for s3 :
900 × (1.09)² = 900 × 1.1881 = 1069.29
correct.
so,
a13 = 900 × (1.09)¹² = 2,531.398304
s13 is then the sum of all a1, ..., a13
there is a nice formula for sums of finite sequences
s13 = 900 × (1-f¹³) / (1-f) = 900×(1-(1.09)¹³) / (1-1.09) =
= 900×(1-3.065804612) / (-0.09) =
= 900×(-2.065804612) / (-0.09) = 20,658.04612
.
Answer:
Step-by-step explanation:
You need to paint a decorative garden ornament that is in the shape of pyramid with a square base that is 3 inches long and has a slant height of 13 inches.
a. A smaller pyramid has linear dimensions that are 3/4 times that of the larger pyramid. Does the smaller pyramid require 3/4 times the amount of paint? Explain: Answer: Yes
b. Another pyramid has triple the base lengths but the same slant height. Does this pyramid require triple the paint as the original pyramid? Explain. Answer: No