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weqwewe [10]
3 years ago
10

The goat population on a farm is decreasing at a rate of 7.25% each year. If there were 75 goats originally, how many goats will

be on the farm in 4 years?
Mathematics
1 answer:
Natasha2012 [34]3 years ago
3 0

Answer:

53

Step-by-step explanation:

x/75=7.25/100

Cross Multiply

100x = 543.75

Simplify

x=5.4375

Multiply By The Number Of Years

5.4375 x 4 = 21.75

Subtract From The Original Number

75-21.75 = 53.25

<h2>Round it down (You cant have a quarter o a sheep. It would be dead)</h2><h2>53</h2>
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Answer:

  • We have similar triangles
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7. The area of a triangle is 2.1 square feet. Its base is 2 feet. What is its height​
yKpoI14uk [10]

Step-by-step explanation:

area of a triangle is (bh)/2

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Two right triangles are graphed on a coordinate plane. One triangle has a vertical side of 2 and a horizontal side of 6. The oth
Vikki [24]

Consider two <u>right triangles</u>:

1. ΔABC with <u>vertices</u> A(0,0), B(0,2), C(6,0). Then AB is perpendicular to AC and AB=2 units (<u>vertical leg</u>), AC=6 units (<u>horizontal leg</u>).

2. ΔXYZ with vertices X(6,-10), Y(6,0), Z(36,-10). Then XY is perpendicular to XZ and XY=10 units (vrrtical leg), XZ=30 units (horizontal leg).

The equation of the line BC is

\dfrac{x-0}{6-0}=\dfrac{y-2}{0-2},\\ \\-x=3y-6,\\ \\x+3y-6=0.

Check whether points Y and Z lie on this line:

Y(6,0): 6+3\cdot 0-6=0 - true;

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The Regency Hotel has enough space at its entrance for six taxicabs to line up, wait for guests, and then load passengers. Cabs
maksim [4K]

Answer:

The appropriate solution is:

(1) 22.81 minutes

(2) 0.171

Step-by-step explanation:

According to the question, the values will be:

The service rate of guess will be:

= 5+3.5

= 8.5 \ minutes

The mean arrival rate will be:

\lambda =\frac{60}{5}

  =7.5 \ cabs/hr

The mean service rate will be:

\mu= 7.05 \ cabs/hr

(1)

The average time a cab must wait will be:

⇒ W_q=22.95-\frac{1}{7.05}

⇒       =\frac{161.798-1}{7.05}

⇒       =\frac{160.798}{7.05}

⇒       =22.81 \ minutes

(2)

The required probability will be:

⇒ P(X\geq 6)=\frac{1-2.115}{1-7.5}

⇒                  =\frac{-1.1115}{-6.5}

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6 0
3 years ago
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