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2 years ago

7

I dont know how to do this i need help quickly

1 answer:

Anit [1.1K]2 years ago

7 0

$\dfrac{cd^4}{c^2 d^8}\\\\=c^{1-2} \cdot d^{4-8}\\\\=c^{-1} \cdot d^{-4}\\\\=\dfrac 1{c d^4}$

$\text{Hence the answer is C.}$

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Georgia [21]

Answer:

$V(x) = -\frac{340}{3}x +2220$

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Step-by-step explanation:

Given

Let x represent years and V represents the value.

So, we have:

$(x_1,v_1) = (0,2220)$

$(x_2,v_2) = (6,1540)$

Solving (a): The linear function

First, we calculate the slope (m)

$m = \frac{v_2 - v_1}{x_2 - x_1}$

This gives:

$m = \frac{1540-2220}{6-0}$

$m = \frac{-680}{6}$

$m = -\frac{340}{3}$

The linear function is calculated using:

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Where:

$(x_2,v_2) = (6,1540)$

$m = -\frac{340}{3}$

So, we have:

$v - 1540 = -\frac{340}{3}(x - 6)$

Open bracket

$v - 1540 = -\frac{340}{3}x +\frac{340}{3}* 6$

$v - 1540 = -\frac{340}{3}x +680$

Make v the subject

$v = -\frac{340}{3}x +680+1540$

$v = -\frac{340}{3}x +2220$

So, the function is:

$V(x) = -\frac{340}{3}x +2220$

Solving (b): When x = 8

Substitute 8 for x in $V(x) = -\frac{340}{3}x +2220$

$V(8) = -\frac{340}{3}*8 +2220$

$V(8) = -\frac{340*8}{3} +2220$

$V(8) = -\frac{2720}{3} +2220$

Take LCM

$V(8) = \frac{-2720+2220*3}{3}$

$V(8) = \frac{-2720+6660}{3}$

$V(8) = \frac{3940}{3}$

$V(8) = 1313.3$

<em>Hence, its value after 8 years is 1313.3</em>

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Answer:

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