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vredina [299]
2 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]2 years ago
8 0
Divide 1.9% from $25,000 and multiply the answer by 17 and add it to $25,000
photoshop1234 [79]2 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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Prove by contradiction that the interval (a,<br> b.has no minimum element.
Snowcat [4.5K]

Assume (a,b) has a minimum element m.


m is in the interval so a < m < b.


a < m


Adding a to both sides,


2a < a + m


Adding m to both sides of the first inequality,


a + m < 2m


So


2a < a+m < 2m


a < (a+m)/2 < m < b


Since the average (a+m)/2 is in the range (a,b) and less than m, that contradicts our assumption that m is the minimum. So we conclude there is no minimum since given any purported minimum we can always compute something smaller in the range.


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Write an equation of the line that passes through point (-8, – 5) and has the slope m= - 1/4 <br>y=
zmey [24]

Answer:

y= -1/4x + 3

Step-by-step explanation:

y-y1 = m(x-x1)

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We'll then replace the letters with the available figures.

y-[-5] = -1/4 (x-[-8])

We are made to know that minus + minus= plus

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Therefore, the mathematical setting of this question becomes,

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Multiply everything in the bracket with the outside value

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-1/4 x 8 = -2

The mathematical setting then becomes,

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so, it becomes

y+5 = -1/4x - 2

The equation is supposed to look like this, y= mx + b

Therefore we add +5 to both sides to cancel out

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+5 cancels out +5 which makes the setting,

y= -1/4x - 2 +5 (<em>-2+5 goes around to become 5-2= 3</em>)

The expression now looks like this

<u>y= -1/4x +3 which is the final answer!</u>

<u />y= -1/4x + 3

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