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

Triangles ABC and DFG are similar.

Which proportion can be used to find the value of DG¯¯¯¯¯¯?

a 15/7=5/DG

b DG/15=5/7

c 5/7=15/DG

d 5/DG=15/6
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

7 x 3 = 21

DG = 21

5/7 = 15/21

5 ÷ 7 = 0.71

15/21 = 0.71

5/7 = 15/21

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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7 + a/3 = 5
PLS HELP ME
I've been siting here for 3 hours trying to figure this out.

Answers

Answer:

A=-6 is the answer

Step-by-step explanation:

it's simple

a = -6

7 + -6/3 = 5
7 + (-2) = 5

Hope this helps!!!!!

Help!!! Please HELP!!!

Answers

Answer:

Step-by-step explanation:

that's where they cross

An Item is priced at $14.91. If the sales tax is 4%, what does the item cost including the tax? A. 30.42 B. $0.60 C.$15.51 D. $20.87

Answers

Answer:

15.51

Step-by-step explanation:

14.91x4%=.60

14.91+.60=15.51

360 miles in 6 hours unit rate

Answers

Answer:

60 miles per hour

Step-by-step explanation:

360 miles / 6 hours = 60 miles per hour

Answer:

60, I hope this helped and please mark brainliest!

Step-by-step explanation:

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

Lin borrowed 950 for a new laptop. She will pay $25,80 each month for the next 48 months (2 years). Find the amount of
interest Lin will be paying for her loan.
interest Lin will be paying for her loan

Answers

Answer:

288,40 $

Step-by-step explanation:

25,80$ / month * 48 months = 1238,40$ total payment.

1238,40$ - 950$ (borrowed) = 288,40 $ payed in interest.

100% of 100 is ?
100% of 8 is ?
100% of 24 is ?
100% of 36 is ?
100% of ¼ is ?

Answers

Answer:

100

1/4

Step-by-step explanation:

Answer:

100

1/4

Step-by-step explanation:

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

sign (to the nearest 0.01 in.)? Justify your answer.

30.00 in

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]

[tex]= 15 \times 0.414213562\\\\=6.21320343 \times 2 \\\\=12.4264069 \ in \\\\[/tex]

Dilate point a in relation to the origin by a dilation factor of 5.?

Answers

Answer:

origin dilation if 5. is 5

i need help with the work and math

Answers

What do you need help with ??

The length of a rectangle is three meters more than its width the perimeter of the rectangle is 74 meters what are the dimensions of the rectangle

Answers

Answer:

17 meters x 20 meters

Step-by-step explanation:

perimeter = 2 widths + 2 lengths

74 = 2W + 2L

L = W + 3

substitute for L

74 = 2W + 2(W + 3)

74 = 4W + 6

68 = 4W

W = 17 meters

L = 20 meters

Answer:

Step-by-step explanation:

Givens

Let the width = w

Then the Length = w + 3

Formula

P = 2L + 2W

P = 74

Solution

Substitute w + 3 for L

2(W + 3) + 2W = 74 Remove the brackets

2W + 6 + 2W = 74 Collect Like Terms

4w + 6 = 74 Subtract 6 from both sides

4w = 74 - 6

4w = 68 Divide by 4

w = 68/4

w = 17

L = w + 3

L = 17 + 3

L = 20

Check

P = 40 + 34

P =74

line pass through the sets given points. which choice shows perpendicular lines?

Answers

Answer:

I have no reference to this question, there is no graph or anything to show me.

Step-by-step explanation:

A line that intersects a circle in exactly one point.
a. secant
b. tangent
c. segment of a circle
d. sector of a circle

Answers

B.

Would be yo ur answer

It’s possibly d or b

A tree cast a shadow of 10 ft when the suns rays hit the ground at an angle of elevation of 28 .what is the height of the tree ? Round your answer to the nearest tenth

Answers

Answer:

crcrc4cc4crfc

Step-by-step explanation:

Answer:

You can use scale factor

Step-by-step explanation:

34-60 how much apples are they left

Answers

Answer:

60-34= 26

Step-by-step explanation:

pls help.....

.....20 points

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

10245/3 = 3415

-5469/3 = -1823

Because B does not produce an integer, that is your answer

(This works because of inverse operations)

Please let me know if you have any questions.

Cindy and Tim went to the state fair. They paid a $4.50 entry and $1.25 per ride ticket

Find the slope, y-intercept and write the equation for this Linear Relationship.

Answers

Step-by-step explanation:

Write more compactly about functional relationships such as, “If you sell x tickets, then your profit will be ... Jason goes to an amusement park where he pays $8 admission and $2 per ride.

Please answer this I will mark you Brainly if you answer this right

Answers

Answer:

150 This is right 4sure i did this test to.

Step-by-step explanation:

The answer to the question is 150.

Explain

I really really need help

Answers

Step-by-step explanation:

you can use any two points on the graph but I used the easiest one. It doesn't matter it will give the same result

Line c has a slope of 6/5. Line d is parallel to line c. What is the slope of line d?

Answers

Answer:

6/5

Step-by-step explanation:

Parallel lines have same slopes.

BC =
Round your answer to the nearest hundredth.
B
?
65
А
7

Answers

Answer:

14 = rounded 15

Step-by-step explanation:

What grade r u in?

And what time is where u r?

Answer: 5.52 (answer already rounded)

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

Answers

Answer:

3 miles

Step-by-step explanation:

This is because Derek would be your right angle of the corner of the right triangle. And since the distance is both of those houses from Derek’s house, you would have to use the Pythagorean Theorem to find the difference of the hypotenuse and the leg

What's the answer pleaseewwww

Answers

Pretty sure it’s the third one

A TRIANGLE has a base of 20 inches and height of 9 inches. What is its area? (a = 1/2bh)

Answers

Answer:

Step-by-step explanation:

1/2x20x9=90

What is the area of a square with side length:

3cm

Answers

Answer:

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

3 x 3 = 9cm

Answer: 9cm

12cm :) the reason why it’s 12 is because a square has 4 sides so 3 by 4 is 12

The temperatures of two cities were measured at the same time. The
temperature in city A was 60 degrees and rose at a constant rate of 2
degrees per hour.
The temperature in city B was 40 degrees and rose at a constant rate
of 10 degrees per hour.
Enter the number of hours it took for the temperature to be the same in
both cities.

Answers

Answer:

2.5 hours

Step-by-step explanation:

60+2t=40+10t

hope this helps, have a great day :)

Gilligan sees a ship coming close to the shore hes standing on.

Answers

i think part a is: yes because both triangles are right angles. it would be postulate SAS

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Find the equation of direct variation,
given that y varies directly with x,
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Answers

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please i need this, i've been crying bout it, What is an equation of the line that passes through the point (4,2) and is perpendicular to the line 4x+3y=21?

Answers

Answer:

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Step-by-step explanation:

Please help me I don’t know what to do

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)
So if line FD is the 3rd and 1st letters of the first triangle, then it has to be equal to the 3rd and 1st letter of the 2nd triangle.
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.
The order in which you put the letters does not matter. IK and KI should both be considered correct
Hope this helped

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