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lana66690 [7]
3 years ago
10

A farmer has a crop of 2,000 orange trees at the beginning of this year. Each year, the farmer plans to plant 250 new trees. Ass

uming all the trees from one year live into the next, which explicit formula below can be used to determine the total number of orange trees, an, on this farm at the end of the nth year.
Mathematics
1 answer:
lawyer [7]3 years ago
5 0

Answer:

y=250x+2000

Step-by-step explanation:

The farmer starts with 2000 trees and adds 250 each year.

Year 0   2000

Year 1   2000 + 250 = 2000+ 1(250)

Year 2   2000 + 250 +250 = 2000 + 2(250)

Year 3   2000 + 250 + 250 + 250 = 2000 + 3(250)

Year 4   2000 + 250 + 250 + 250 + 250 = 2000 + 4 (250)

.....

Year X   2000 + 250x

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14x+21

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3 years ago
Find the dimensions of the rectangular box with largest volume if the total surface area is given as 64cm^2
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Let x =lenght, y = width, and z =height 
<span>The volume of the box is equal to V = xyz </span>
<span>Subject to the surface area </span>
<span>S = 2xy + 2xz + 2yz = 64 </span>
<span>= 2(xy + xz + yz) </span>
<span>= 2[xy + x(64/xy) + y(64/xy)] </span>
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<span>My(x, y) = x = 64/y^2 </span>
<span>y^2 = 64/x </span>
<span>(64/x^2)^2 = 64 </span>
<span>4096/x^4 = 64/x </span>
<span>x^3 = 4096/64 </span>
<span>x^3 = 64 </span>
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3 years ago
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