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2 years ago

Green Fencing Company will install the fence

Mathematics

1 answer:

LUCKY_DIMON [66]2 years ago

3 0

The company would charge $837.50 to build the fence.

Installing a fence would cost $62.50 per hour.

It will take 13²/₅ hours to install this fence.

The cost would be:

= Cost per hour x Number of hours taken

Number of hours it would take should be converted to improper fraction to be multiplied:

13²/₅ = 67/5 hours

Cost is:

= 62.50 x 67/5

= $837.50

In conclusion, it would cost $837.50 to build the fence.

Find out more at brainly.com/question/14652608.

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The recursive function $f(0) = 1$ , $f(n) = f(n-1) + 2n$ represents the nth term of a sequence. Determine the explicit function

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Step-by-step explanation:

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Let n = 2

$f(2) = f(2-1) + 2*2$

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Let n =3

$f(3)=f(3-1) + 2 * 3$

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$f(3)=7+ 6 = 13$

Let n = 4

$f(4) = f(4 - 1) + 2 * 4$

$f(4) = f(3) + 8$

$f(4) = 13+ 8 = 21$

So, we have:

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$f(3) = 13= 7 + 2 * 3= 1+2*3+2*3$

$f(4) = 21 = 13 + 2 * 4= 1+3*4 +2 *4$

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$f(n) = 1 + (n - 1) * n + 2 * n$

$f(n) = 1 + n(n - 1) + 2n$

Open bracket

$f(n) = 1 + n^2 - n + 2n$

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