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Akimi4 [234]
3 years ago
5

Answer this please help needed

Mathematics
1 answer:
klasskru [66]3 years ago
8 0

3.√(27x^9) = (27x^9)^(1/3) = 3x^3

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Linda won $200,000 in a state lottery. She first paid income tax on 30% on the winnings. She invested some of the rest at 1.5% a
Lady_Fox [76]

She invested $ 50000 at 1.5% rate and $ 90000 at 4% rate.

<u><em>Explanation</em></u>

Total amount of winnings = $ 200000

She first paid income tax on 30% on the winnings. So, the amount paid as income tax =(200000*0.30)dollar=60000 dollar.

<u>Remaining amount</u> = $ 200000 - $ 60000 = $ 140000

Suppose, she invested  x dollar at 1.5% rate.

That means, she invested (140000-x) dollar at 4% rate.

Given that, the total amount of interest earned = $ 4350

So, the equation will be.....

0.015x+0.04(140000-x)=4350\\ \\ 0.015x+5600-0.04x=4350\\ \\ -0.025x= 4350-5600\\ \\ -0.025x=-1250\\ \\ x= \frac{-1250}{-0.025}=50000

So, amount of investment at 1.5% rate = $ 50000

and amount of investment at 4% rate = $ 140000 - $ 50000 = $ 90000  


5 0
3 years ago
A 2​-ft vertical post casts a 20​-in shadow at the same time a nearby cell phone tower casts a 125​-ft shadow. How tall is the c
chubhunter [2.5K]

Answer:

1249. 5 inches

Step-by-step explanation:

Pole length , Pl = 2 fts

Pole shadow, Ps = 20 in = (0.0833 * 20) = 1.666 ft

Tower length, Tl = 125 ft

Tower shadow, Ts = x

Pl / Ps = Tl/ Ts

2/ 1.666 = 125 / x

Cross multiply

2x = 125 * 1.666

2x = 208.25

x = 104.125 ft

x = 104.125 * 12 = 1249. 5 inches

5 0
2 years ago
Help pls!!!!!!!!!!!!!!!!
Anastaziya [24]

ANSWER.


The correct answer is Option A


EXPLANATION.


The real number

\sqrt{35}=5.916079783


to 9 decimal places.


You can see that the decimals are not repeating, neither will they terminate.



Therefore the real number \sqrt{35} is irrational because, the decimal does not terminate or repeat


Also note that,


\sqrt{35}=\sqrt{5} \times \sqrt{7} .


That is,

\sqrt{35} is a product of two irrational numbers, which still gives an irrational number.

8 0
3 years ago
What’s the correct answer for this ?<br> The traffic light is approximately _____ feet tall
wlad13 [49]

Answer:

Height = 21.78 ft

Step-by-step explanation:

Tan θ = opposite / Adjacent

tan 40 = opposite / 20

where opposite is the part of the traffic light

0.839 × 20 = opposite

opposite = 16.78 ft

Now the total height of traffic light = 16.78 ft +5 ft

Total Height = 21.78 ft

8 0
3 years ago
Is 3.2128 rational or irrational​
cricket20 [7]
3.2128 is a rational number
6 0
2 years ago
Read 2 more answers
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