3 years ago

50 PTS MANY POINTS

Mathematics

1 answer:

kari74 [83]3 years ago

3 0

Answer:

B. 1,900

Step-by-step explanation:

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A merchant wants to establish the selling price of an item that costs him $4.50 with a 15% markup. What is his selling price?

OLga [1]

Answer:

the answer it $5.18

Step-by-step explanation:

$4.50 + ($4.50 x .15)

$4.50 + $0.68 = $5.18

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2 years ago

Help math question derivative!

atroni [7]

Let $f(x)=\sec^{-1}x$ . Then $\sec f(x)=x$ , and differentiating both sides with respect to $x$ gives

$(\sec f(x))'=\sec f(x)\tan f(x)\,f'(x)=1$
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Now, when $x=\sqrt2$ , you get

$(\sec^{-1})'(\sqrt2)=f'(\sqrt2)=\dfrac1{\sec\left(\sec^{-1}\sqrt2\right)\tan\left(\sec^{-1}\sqrt2\right)}$

You have $\sec^{-1}\sqrt2=\dfrac\pi4$ , so $\sec\left(\sec^{-1}\sqrt2\right)=\sqrt2$ and $\tan\left(\sec^{-1}\sqrt2\right)=1$ . So $(\sec^{-1})'(\sqrt2)=\dfrac1{\sqrt2\times1}=\dfrac1{\sqrt2}$

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3 years ago

Find the equation of the line passing through the points A(3,2) and B(6,3)

icang [17]

Answer:

y = $\frac{1}{3} x+1$

Step-by-step explanation:

m = $m = \frac{change in y}{change in x} \\m = \frac{3 - (2)}{6 - (3)}\\m = \frac{1}{3} \\Find the value of b using the equation of a line \\y = mx+b\\y =( \frac{1}{3} )x + b\\2 =( \frac{1}{3} ) * (3) + b\\cancel common factor\\1 + b = 2\\b = 1\\y = \frac{1}{3} x + 1$