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3 years ago

Question #55

1 answer:

7 0

Lets make a proportion with the information we know. For every 1000, 8 of tax is paid.

8/1000

Then, use the rest of the information to make another proportion. We don’t know how much the tax is, so let’s call it x.

x/150000

Set the equations equal to each other

8/1000=x/150000

Cross multiply

1000x=1200000

Divide by 1000 on both sides

x=1200

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I can you help me one this one too please

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Answer:

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Simplify 45a²b<br> __________<br> 30AB

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Answer:

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Step-by-step explanation:

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The city of Atlanta recently increased their sales tax from 7.5% to 8%. How much more tax would you pay on a $10 purchase?

dusya [7]

Well.. $\bf {{ a}}\%\ of\ b \implies \cfrac{{{ a}}}{100}\cdot b\implies {{ a}}\div 100\cdot b\\\\
-----------------------------\\\\
thus
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{{ 7.5}}\%\ of\ 10 \implies \cfrac{{{ 7.5}}}{100}\cdot 10\qquad and\qquad {{ 8}}\%\ of\ 10 \implies \cfrac{{{ 8}}}{100}\cdot 10$

get both, check their difference, that's how much more tax you'd be paying from 7.5% to 8% on $10

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A ball is thrown into the air by a baby alien on a planet in the system of Alpha Centauri with a velocity of 43 ft/s. Its height

Lina20 [59]

Answer:

Instantaneous Velocity at t = 1 is 20 feet per second

Step-by-step explanation:

We are given he following information in the question:

$y(t)=43t-23t^{2}$

B) Instantaneous Velocity at t = 1

$y(1) = 43(1)-23(1)^2 = 20$

A) Formula:

Average velocity =

$\displaystyle\frac{\text{Displacement}}{\text{Time}}$

1) 0.01

$y(1 + 0.01)=y(1.01) = 43(1.01)-23(1.01)^{2} = 19.9677\\\\\text{Average Velocity} = \dfrac{y(1.01)-y(1)}{1.01-1} =\dfrac{19.9677-20}{1.01-1}= \dfrac{-0.0323}{0.01} = -3.230000 \text{feet per second}$

2) 0.005 s

$y(1 + 0.005)=y(1.005) = 43(1.005)-23(1.005)^{2} = 19.984425\\\\\text{Average Velocity} = \dfrac{y(1.005)-y(1)}{1.005-1} =\dfrac{19.984425-20}{1.005-1} = -3.1150000 \text{feet per second}$

3) 0.002 s

$y(1 + 0.002)=y(1.002) = 43(1.002)-23(1.002)^{2} = 19.993908\\\\\text{Average Velocity} = \dfrac{y(1.002)-y(1)}{1.002-1} =\dfrac{19.993908-20}{1.002-1} = -3.0460000 \text{feet per second}$

4) 0.001 s

$y(1 + 0.001)=y(1.001) = 43(1.001)-23(1.001)^{2} = 19.996977\\\\\text{Average Velocity} = \dfrac{y(1.001)-y(1)}{1.001-1} =\frac{19.996977-20}{1.001-1} = -3.0230000 \text{feet per second}$

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3 years ago

Mr graham would like to plant a rectangular garden. He wants the length of the garden to be 6 feet longer than twice the width.t

dangina [55]

L = 2w + 6
p = 144

144 = 2w + 2(2w + 6)
144 = 2w + 4w + 12
132 = 6w
w = 22

l = 2(22) + 6
l = 50

The length is 50 feet and the width is 22 feet.

5 0

3 years ago