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vredina [299]
3 years ago
5

Lee owns a business earning $25,400 in profits. These profits are appreciating at about 1.9% each year. What are Lee's profits a

fter seven years?
Mathematics
2 answers:
erastova [34]3 years ago
8 0
Divide 1.9% from $25,000 and multiply the answer by 17 and add it to $25,000
photoshop1234 [79]3 years ago
8 0

Answer:

$28,976.97

Step-by-step explanation:

We have been given that Lee owns a business earning $25,400 in profits. These profits are appreciating at about 1.9% each year.

We will represent this information in exponential function y=a\cdot (1+r)^x, where,

a = Initial value,

r = Growth rate in decimal form.

1.9\%=\frac{1.9}{100}=0.019  

Substitute the given values:

y=\$25,400\cdot (1+0.019)^7  

y=\$25,400\cdot 1.140825678563294  

y=\$28,976.9722355  

y\approx \$28,976.97  

Therefore, Lee's profits after seven years would be $28,976.97.

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A manufactured product has a length that is normally distributed with a mean of 12 cm. The product will be unusable if the lengt
Sav [38]

Answer:

a) σ  = 0,1612

b) P [ 11,75 < X < 12,35] = 0,92,44   or    92,44 %

Step-by-step explanation:

NOTE: I assume the unusable length s 11,5 and less

a) For a normal distribution, the probability of P = 0,01 corresponds to z(score) =  -3,1 then:

- 3,1 = ( X - μ₀ ) / σ

- 3,1 = (11,5 - 12 )/ σ

-3,1 = - 0,5 / σ

σ  = 0,1612

b) If σ = 0,1612

P [ 11,75 < X < 12,35]

z₁ (score)  = ( 11,75 - 12 ) / 0,1612

z₁  = - 0,25/ 0,1612

z₁  = -1,55

From z table  P [ 11,75 < X] = 0,0606

z₂ (score) = ( 12,35 - 12) / 0,1612

z₂ = 0,35 / 01612

z₂ = 2,17

From z table  P [ X < 12,35] = 0,9850

Finally P [ 11,75 < X < 12,35] = 0,9850 -  0,0606

P [ 11,75 < X < 12,35] = 0,92,44   or    92,44 %

5 0
3 years ago
Christa wrote 1 page in 2/3 hour. Which is Christa's writing rate per hour?
Fantom [35]

Answer:

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Step-by-step explanation:

1 : 2/3

= 3/2 : 1

3 0
3 years ago
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Lorico [155]

Answer:

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  • zero: x = 0

Step-by-step explanation:

The function of interest is ...

  f(x)=\dfrac{5x}{x^2-25}=\dfrac{5x}{(x-5)(x+5)}

The asymptotes are found where the denominator is zero. It will be zero when either factor is zero, so at x = 5 and x = -5

__

The zeros are found where the numerator is zero. It will be zero for x = 0.

The asymptotes are x=-5, x=5; the zero is x=0.

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3 years ago
The next model of a sports car will cost 5.1% more than the current model. The current model costs $45,000. How much will the pr
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Answer:

Step-by-step explanation:

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3 years ago
CAN SOMEONE HELP!! SHOW YOUR WORK AND NO LINKS <br> -8+12e=-20<br> e=
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Answer:

-8+12e=-20

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