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3 years ago

15

Lamar receives money from his relatives every year on his birthday. Last year, Lamar received $100. This year, he received 29% m

ore than last year. How much did he receive this year?

1 answer:

Bond [772]3 years ago

5 0

Answer:

$129

Step-by-step explanation:

Amount received last year = $100

Amount received this year = x

x = 29% more of last year

x = $100 + ($100 * 29%)

x = $100 + ($100 * 29 / 100)

x = $100 + $29

x = $129

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PIT_PIT [208]

There are 2 tangent lines that pass through the point

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Explanation:

Given:

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The point-slope form of the equation of a line tells us that the form of the tangent lines must be:

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For the lines to be tangent to the curve, we must substitute the first derivative of the curve for $m$ :

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Because the line must touch the curve, we may substitute $y=\frac{x}{x+1}:$

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$x=-2$ ± $\sqrt{3}$

$x=-2$ ± $\sqrt{3}$ <em> </em> $and$ $x=-2-\sqrt{3}$

There are 2 tangent lines.

$y=\frac{1}{(-1+\sqrt{3)^2} } (x-1)+2$

and

$y=\frac{1}{(-1-\sqrt{3)^2} } (x-1)+2$

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