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3 years ago

12

A laptop has a listed price of $899.95 before tax. If the sales tax rate is 6.5%, find the total cost of the laptop with sales t

ax included.
Round your answer to the nearest cent, as necessary.

1 answer:

Ket [755]3 years ago

5 0

Answer:

the total cost of the laptop with tax is 958.45

Step-by-step explanation:

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Solve the equation for y. Then find the value of y for each value of x.<br><br> y+5x=9;x= -2, 0, 4

qwelly [4]

When x = -2

$y+5\left(-2\right)=9$

$y-5\cdot \:2=9$

$y-10=9$

$y-10+10=9+10$

$y=19$

When x= 0

$y+5\left(0\right)=9$

$y+5\cdot \:0=9$

$y+0=9$

$y=9$

When x= 4

$y+5\left(4\right)=9$

$y+5\cdot \:4=9$

$y+20=9$

$y+20-20=9-20$

$y=-11$

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aliina [53]

Answer:

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Step-by-step explanation:

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3 years ago

Write in an algebraic expression

SpyIntel [72]

What was the answer to the proble above

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Y=x.arctan(x)^1/2. find dy/dx. pls show steps

Whitepunk [10]

$y=x(\arctan x)^{1/2}$

Use the product rule first:

$\dfrac{\mathrm dy}{\mathrm dx}=\dfrac{\mathrm dx}{\mathrm dx}(\arctan x)^{1/2}+x\dfrac{\mathrm d(\arctan x)^{1/2}}{\mathrm dx}$

$\dfrac{\mathrm dy}{\mathrm dx}=(\arctan x)^{1/2}+x\dfrac{\mathrm d(\arctan x)^{1/2}}{\mathrm dx}$

Use the chain rule to compute the derivative of $(\arctan x)^{1/2}$ . Let $z=(\arctan x)^{1/2}$ and take $u=\arctan x$ , so that by the chain rule

$\dfrac{\mathrm dz}{\mathrm dx}=\dfrac{\mathrm dz}{\mathrm du}\dfrac{\mathrm du}{\mathrm dx}$

$\dfrac{\mathrm dz}{\mathrm du}=\dfrac{\mathrm du^{1/2}}{\mathrm du}=\dfrac12u^{-1/2}$

$\dfrac{\mathrm du}{\mathrm dx}=\dfrac{\mathrm d\arctan x}{\mathrm dx}=\dfrac1{1+x^2}$

$\implies\dfrac{\mathrm d(\arctan x)^{1/2}}{\mathrm dx}=\dfrac1{2(\arctan x)^{1/2}(1+x^2)}$

So we have

$\dfrac{\mathrm dy}{\mathrm dx}=(\arctan x)^{1/2}+\dfrac x{2(\arctan x)^{1/2}(1+x^2)}$

You can rewrite this a bit by factoring $(\arctan x)^{-1/2}$ , just to make it look neater:

$\dfrac{\mathrm dy}{\mathrm dx}=\dfrac1{2(\arctan x)^{1/2}}\left(2\arctan x+\dfrac x{1+x^2}\right)$

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you play a video game for 15 minutes. you lose 165 points. what is the mean change in points per min?

tia_tia [17]

$165 \div 15 = 11$
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