Answer:
Step-by-step explanation:
The growth factor is 1.06.
The year is 2020 - 1978 = 42.
This is exponential growth as the growth factor is > 1.
The equation is V = 40000(1.06)^42
V works out to $462,281
Answer:
C. -4n + 8
Step-by-step explanation:
Try the formulas and see which works.
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The common difference is -4, so the coefficient of n in the explicit formula is -4. Every term is divisible by 4, so there won't be 3 anywhere in the formula.
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-4·1 +8 = 4
-4·2 +8 = 0
-4·3 +8 = -4
-4·4 +8 = -8
The formula -4n+8 reproduces the sequence exactly.
Answer:
8 groups.
Step-by-step explanation:
We are told that Luis purchased 24 purple plants and 8 pink plants. He wants to plant them in equal groups in his garden. We are asked to find out largest number of groups he can make.
To solve this problem we will find GCF of 24 and 8.
Factors of 24 are: 1,2,3,4,6,8,12 and 24.
Factors of 8 are 1,2,4 and 8.
We can see that greatest common factor of 24 and 8 is 8.
Therefore, Luis can make 8 groups each having 3 purple plants and 1 pink plant.
Answer:
2713
Step-by-step explanation:
The volume of a cylinder is base * height. That means the whole cylinder's volume is 8^2 * 18 * pi = 1152 pi
The volume of a sphere is (4/3)(pi)(r^3) = (4/3)(pi)(6^3) = 288 pi
Cylinder - Sphere = Shaded Volume
1152pi - 288pi = 864pi
Substitute 3.14 for pi, and you get
864(3.14) = 2712.96, which rounds to 2713
