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WITCHER [35]
2 years ago
15

A business purchased for $650,000 in 1994 is sold in 1997 for $850,000. What is the annual rate of return for this investment?

Mathematics
1 answer:
Schach [20]2 years ago
4 0
The annual rat of return for this investment would be
850000=650000*(1+(r/1))^(1*3)
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The total operating cost to run the organic strawberry farm varies directly with its number of acres. What is the constant of va
kow [346]

Answer:

16\ acres

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form k=\frac{y}{x} or y=kx

In a proportional relationship the constant of proportionality k is equal to the slope m of the line and the line passes through the origin

Let

x ----> the number of acres

y ---> total operating costs

we have the ordered pair (20,551,520)

For x=20 acres, y=$551,520

<em>Find the value of the constant of proportionality k</em>

k=\frac{y}{x}

substitute the values of x and y

k=\frac{551,520}{20}=\$27,576\ per\ acre

The linear equation is equal to

y=27,576x

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so

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substitute in the linear equation the value of y and solve for x

441,216=27,576x

x=441,216/27,576

x=16\ acres

5 0
2 years ago
Read 2 more answers
8,000 is blank as 800
Alecsey [184]

8,000 is 10 times as much as 800

3 0
2 years ago
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Lauren spent 3/5 of her money on a refrigerator. The refrigerator cost $756. How much money did she have left?
Lelechka [254]
Fractions are the part/whole.  We can set this up to be...

3/5 = 756
756 x5/3 = 1260.

if she had 1260 to begin with and spent 756, she would have 504.00 left.
3 0
2 years ago
Substitute the values for a, b, and c into b2 – 4ac to determine the discriminant. Which quadratic equations will have two real
adoni [48]

Step-by-step explanation

<h3>Prerequisites:</h3>

<u>You need to know: </u>

b^2 - 4ac = 0 \Rightarrow 1 solution

b^2 - 4ac > 0 \Rightarrow 2 solutions

b^2 - 4ac < 0 \Rightarrow No\ real\ solutions

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2x^2-7x-9 = 0

b^2 - 4ac

-7^2 - 4(2)(-9) = 121

2 Solutions

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x^2-4x+4 = 0

b^2 - 4ac

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1 Solution

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4x^2-3x-1 = 0

b^2 - 4ac

-3^2 - 4(4)(-1) = 25

2 Solutions

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x^2-2x-8 = 0

b^2 - 4ac

-2^2 - 4(1)(-8) = 36

2 Solutions

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3x^2+5x+3 = 0

b^2 - 4ac

5^2 - 4(3)(3) = -11

No Solutions

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3 0
2 years ago
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The time needed to travel a certain distance varies inversely with the rate of speed. If it takes 8 hours to travel a certain di
katen-ka-za [31]
I believe it would be 4.8 hours
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