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ladessa [460]
2 years ago
8

An airplane 30,100 feet above the ground begins descending at the rate of 2150 feet per minute. Write and solve a linear equatio

n to find how long it will take the plane to reach the ground.
Mathematics
1 answer:
Inga [223]2 years ago
6 0

Answer:

14 minutes.

Step-by-step explanation:

To create a linear equation that represents an airplane flying at an altitude of 30,100 feet, descending 2,150 feet per minute, that represents how long it will take for the airplane to touch down, proceed as follows:

2,150X = 30,100

X = 30,100 / 2,150

X = 14

Thus, the plane will take 14 minutes to reach the ground, descending 2,150 feet per minute from 30,100 feet.

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maw [93]

<span>Compound  interest  formula</span>

A=P(1+ \frac{r}{n} )^{nt}

 

Where

<span>
A= Future value
P = the Principal (the initial amount of money) 
r = annual interest rate</span>

t = time

<span>n= number of times compounded in one t






Remark
----------------------------------------------------------------------------------

r is generally a percentage like 3%, 7% etc and are applied in the formula as 0.03, 0.07..., 

the interest is compounded generally annually (n=1), quarterly (n=4), monthly (n=12), etc...

t is in years,


In our problem:

</span>

A= 30 000

P =20 000

r = 15%=0.15

time = t = ?

n= 4

applying the formula:

A=P(1+ \frac{r}{n} )^{nt}\\\\30,000=20,000(1+ \frac{0.15}{4} )^{4t}\\\\ \displaystyle{\frac{30,000}{20,000} =(1.0375)^{4t}

\displaystyle{ 1.5={(1.0375^4)}^t\\\\

1.5=1.159^t\\\\ \displaystyle { t=log_{1.159}1.5=2.75

75% of 12 months is 3/4 of 12 months, which is 9 months

Answer: 2 years, 9 months

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3 years ago
Pls pls help me I need it and the other one pls guys
snow_lady [41]

do u need all the answers?


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3 years ago
Can someone help me out how to work on this.
enyata [817]

Answer:

I don't think any are a correct graph of the function. But here are the ordered pairs. (1,0),(0,-2),(-1,-4)

Step-by-step explanation:

Take three values for x and plug them in for your y's. For instance x values of 1,0,-1. Plug each in to find the y value. 2(1) - 2 =y so (1,0)

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3 years ago
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andrezito [222]

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f(x) = λ.e^{-\lambda.x}

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F(x) = 1 - e^{-\lambda.x}

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F(100) = 1 - e^{-0.0143.100}

F(100) = 0.76

<u>Probability</u> of distance at most <u>200</u>:

F(200) = 1 - e^{-0.0143.200}

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P(X > 209.79) = 1 - P(X≤209.79)

P(X > 209.79) = 1 - F(209.79)

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\lambda.\frac{e^{-\lambda.x}}{-\lambda} = -e^{-\lambda.x} + e^{0}

1 - e^{-\lambda.m} = 0.5

-e^{-\lambda.m} = - 0.5

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Step-by-step explanation:

That's how you can prove which side is bigger

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