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3 years ago

F(13)=45,000(0.9)^13

Mathematics

1 answer:

Nadusha1986 [10]3 years ago

3 0

Answer:

About 879.877

Step-by-step explanation:

To find f,

f(13) = 45,000(0.9)^13

13f = 45,000(0.25418658283)

13f = 11438.3962274

f = 879.877

Please tell me I did this the right way, Thanks!

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The equation of line passing through (2, -2) and parallel to $y = \frac{-1}{2}x+5$ is $y = \frac{-x}{2}-1$

Solution:

We have to find the equation of line passing through (2, -2) and parallel to $y = \frac{-1}{2}x+5$

The equation of line in slope intercept form is given as:

y = mx + c ------- eqn 1

Where "m" is the slope of line and "c" is the y-intercept

On comparing the given equation of line $y = \frac{-1}{2}x+5$ with eqn 1,

$m = \frac{-1}{2}$

We know that slope of a line and slope of line parallel to it is always equal

Therefore, slope of line parallel to given line is also $m = \frac{-1}{2}$

Substitute (x, y) = (2, -2) and $m = \frac{-1}{2}$ in eqn 1

$-2=\frac{-1}{2}(2)+c\\\\-2 = -1+c\\\\c = -2+1\\\\c = -1$

Substitute c = -1 and $m = \frac{-1}{2}$ in eqn 1

$y = \frac{-1}{2}x -1\\\\y = \frac{-x}{2}-1$

Thus equation of line parallel to given line is found

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