Answer:
A≈50.27
Or 16π
Step-by-step explanation:
<h3>
Answer: Choice D. 2, 6, 12, 20</h3>
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Work Shown:
Plug in n = 1
c(n) = n(n+1)
c(1) = 1(1+1)
c(1) = 1(2)
c(1) = 2
The first term is 2
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Plug in n = 2
c(n) = n(n+1)
c(2) = 2(2+1)
c(2) = 2(3)
c(2) = 6
The second term is 6
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Plug in n = 3
c(n) = n(n+1)
c(3) = 3(3+1)
c(3) = 3(4)
c(3) = 12
The third term is 12
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Plug in n = 4
c(n) = n(n+1)
c(4) = 4(4+1)
c(4) = 4(5)
c(4) = 20
The fourth term is 20
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The first four terms are: 2, 6, 12, 20
210900 × 0.15 = 31635
210900 - 31635 = 179265
179265 is the mortgage loan
Let’s make two equations. D being dimes and Q being quarters.
D+Q=100
0.1d+0.25q=14.05
Now, let’s multiply the first equation by -0.10 so that we can cancel out D.
-0.1D-0.1Q=-10
0.1d+0.25q=14.05
Let’s solve
0.15Q=4.05
Let’s divide.
Q=27
So there’s 27 Quarters. Since there are 100 in total, there must be 73 dimes.
Let’s make sure this adds up.
0.25(27)+0.1(73)
6.75+7.30
14.05
So there’s 27 Quarters.
Answer:
The walk will cost $8164.
Step-by-step explanation:
Given:
Diameter of the circular pond (D) = 24 yd
Width of the gravel path (x) = 2 yd
Cost per yard of the path = $50
Now, radius of the circular pond is half of the diameter and is given as:
Now, area of the pond is given as:
Area of the complete path including the pond area is given as:
Now, area of the gravel path can be obtained by subtracting the pond area from the total outer area. This gives,
Now, using unitary method,
Cost of 1 square yard of path = $50
∴ Cost of 163.28 square yard of path = 50 × 163.28 = $8164
Hence, the walk will cost $8164.
