The population of wild horses in a particular country t years after the year 2000 can be modeled by the function h(t)=45, 495 (0. 89)t. By approximately what percent is the population decreasing each year?

Answers

Answer 1

By approximately 12.36% is the population decreasing each year.

The population of wild horses in a particular country t years after the year 2000 can be modeled by the function h(t) = 45, 495 (0. 89)t.

Formula to calculate percent decrease is :

Percent decrease = (Original value − New value)/Original value × 100

As we have to calculate approximately what percent is the population decreasing each year, we need to calculate the percent decrease in population .

Using the formula:

h(t) = 45, 495 (0. 89)t .

Substituting t = t + 1h(t + 1) = 45,495(0.89)t+1

Percent decrease in population = (h(t) - h(t + 1))/h(t) × 100= ((45,495(0.89)t) - (45,495(0.89)t+1))/(45,495(0.89)t) × 100= 0.89 - 0.89(0.89)t/0.89t × 100= (0.11/0.89t) × 100= 0.1236t

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Related Questions

The temperatures of two cities were measured at the same time. The
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Answer:

2.5 hours

Step-by-step explanation:

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hope this helps, have a great day :)

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Step-by-step explanation:

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Step-by-step explanation:

From his home Craig would have to walk due north to get to his friend Devon's house and due east to get to his friend Dereks house.it is 4 miles from Craigs house to derricks House and a straight line distance of 5 miles from devon house to derricks House how far is Craig's house from Devon's house

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Step-by-step explanation:

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Answers

Answer G. 99/36= 11/4x

10. A standard stop sign measures 30.00 inches from flat to flat. What is the side length, x, of the stop

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Answers

Answer:

The answer is "12.426 in".

Step-by-step explanation:

[tex]\to b+2c=30\\\\\to b = 15 \times \tan 22.5 \\\\[/tex]

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Answers

Answer:

Since every square has the same length in sizes...

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Answers

Answer:

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Step-by-step explanation:

360 miles / 6 hours = 60 miles per hour

Answer:

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Step-by-step explanation:

This would be 60 miles per hour since you divide 360 by 6. So the rate is 60.

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Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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y= 3x/4 − 1

Step-by-step explanation:

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Answers

Answer:

17 meters x 20 meters

Step-by-step explanation:

perimeter = 2 widths + 2 lengths

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Answer:

Step-by-step explanation:

Givens

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Answer:

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Step-by-step explanation:

Answer:

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Step-by-step explanation:

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Answers

Answer:

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Answers

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Answers

Answer:

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Answers

Look at the angles and the little tallies to match up the triangle. Or use the given: triangle DEF is similar to triangle KJI. If it’s like that in a given you know the order is equal. (D and K are similar, E and J, and F and I)
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IK

Another way to do this is that when you find FD on the triangle you can set that the line has 3 tally marks. Then look at the other triangle and find a line in which there are 3 tally marks.
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Answers

Answer:

Step-by-step explanation:

The simplest way to do this is to take every integer on there and divide it by 3.

8961/3 = 2987

5233/3 = 1744 1/3

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What do you need help with ??

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Answers

Answer:

Step-by-step explanation:

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Two triangles A B C and D F G. A B is 5 inches. B C is 6 inches. A C is 7 inches. D F is 15 inches. F G is 18 inches. Angle B is congruent to angle F.

Answers

Answer:

Step-by-step explanation:

Since every side of ΔABC is dilated by 3, or triple the size

We multiply every length of ΔABC by 3

But the length of DF and FG are already done for us but DG is not, which is essential to finding the answer

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15/21 = 0.71

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Value of [tex]\boldsymbol{DG}[/tex] in a triangle [tex]DFG[/tex] is equal to [tex]\boldsymbol{21}[/tex] inches. To understand the calculations, check below.

Define similar triangles.

Two triangles are said to be similar if their sides are proportional and their angles are equal.

Triangles [tex]ABC,DFG[/tex] are similar

[tex]\frac{AB}{DF}=\frac{BC}{FG}=\frac{AC}{DG}[/tex]

[tex]\frac{5}{15}=\frac{7}{DG}[/tex]

[tex]DG=21[/tex] inches

So, value of [tex]DG[/tex] is equal to [tex]\boldsymbol{21}[/tex] inches

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