The giant panda population in China is increasing at a rate of 1.5% each year. There are 1864 giant panda in 2014. Write a function that models the panda population since 2014.

(exponential growth & decay)

Answers

Answer 1

Given:

Giant panda population in 2014 = 1864

The giant panda population in China is increasing at a rate of 1.5% each year.

To find:

The function that models the panda population since 2014.

Solution:

Since population of giant panda is increasing, therefore the function is the exponential growth model.

The general exponential growth model is:

[tex]P(t)=P_0(1+r)^t[/tex]

Where, [tex]P_0[/tex] is the initial population, r is the growth rate in decimal and t is the time period.

Putting [tex]P_0=1864,r=0.015[/tex], we get

[tex]P(t)=1864(1+0.015)^t[/tex]

[tex]P(t)=1864(1.015)^t[/tex]

Where, t is the number of years since 2014.

Therefore, the required exponential growth model is [tex]P(t)=1864(1.015)^t[/tex].


Related Questions

If the square below is enlarged by a scale factor of 2, what will be the area of the new square? 184 square units 188 square units 192 square units 196 square units

Answers

Answer:

256square units

Step-by-step explanation:

Since we are not given a diagram. Let us assume the side length of the given square is 8 units

If the  the square is enlarged by a scale factor of 2, the side length of the new square will be 2 * 8 = 16units

Since area of a square = L²

Hence the area of the new square =  16²

area of the new square =  256 square units

Hence the area of the new square is 256square units

Note that the side length of the original square was assumed. The values can change depending on the side length of the original square before enlargement

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Answers

Answer:

D if i'm wrong i'm so sorry

Step-by-step explanation:

it is b i worked it out and got b

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Answer:

you already click the answer

Step-by-step explanation:

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Answer:

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Step-by-step explanation:

There are approximately 3,000 bass in a lake. The population grows at a
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of bass from Year 1 to Year 4? Round your answers to the nearest tenth.

Answers

62.4 bass per year from year 5 to year 8, the average rate of change from the population was about 67.6 best per year the change of rate increase was about

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Answers

Answer:

29.5 times pi or 3.14

Step-by-step explanation:

Kimberly is a hostess at a restaurant a large party had a bill for 781.50 the restaurant adds a tip of 18% to the bill. Kimberly receives 8% of the tip and each server receives 1/5 of the remaining tip how much does each Sever earn

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Answer:

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Step-by-step explanation:

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Answers

12. the answer is 12

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Gilbert purchased a car for 34000. The car depreciates at a rate of 14% per year. The exponential function that represents this situation is y = 34000(0.86)^x.

What is the change factor for this function?

Answers

Answer:

.86

Step-by-step explanation:

Exponential function formula

[tex]y = a ( 1 + or - r ) ^t[/tex]

where a = initial value

r = rate of change

and t = number of years

given the equation y = 34000(0.86)^x.

r = .86

Hence the change factor is .86

A shirt originally cost $41.10, but it is on sale for $36.99. What is the percentage decrease of the price of the shirt? If necessary, round to the nearest percent. A. 10% B. 90% C. 11% D. 8%

Answers

Answer:

10%

Step-by-step explanation:

The first step is to calculate the decrease

Original price= $41.10

New price= $36.99

= 41.10-36.99

= 4.11

4.11/41.10 × 100

= 0.1×100

= 10%

Hence the percentage decrease is 10%

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Answers

 Answer:                    

Step-by-step explanation:

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Answers

11)10b=10b is the correct answer hope that help

Answer:

10. No solutions -- Because 5 can't = 0

11. Infinite Solutions -- Because on both sides of the (=) there is a 10 and a B that (b) and be any # and it will still be =

12. No Solutions -- Because 8 can't = 2

13. One Solution -- Because something (-4) = 9 only one # will fit for x and that # is 13 because 13-4=9

14. Infinite Solutions -- Because both sides of the (=) there is 6z because (3+3) z = (6)z = 6z.   and if you but any # for z they will always be =

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Answers

Hope this helps you out!

In the equation y = -x + 7 what is the value of m

Answers

m=slope
y=mx+b
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help me please i love you<33

Answers

Answer:

<B = 95degrees

<D = 137 degrees

Step-by-step explanation:

From the given diagram, the sum of the adjacent sides of the trapezoid is 180degrees. Hence;

<A +<B = 180

85 + <B = 180

<B = 180 - 85

<B = 95degrees

Similarly

<C + <D =180

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<D = 180 - 43

<D = 137 degrees

Help I don’t know how to do this

Answers

20 + 120 = 140
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Teh angle is 140 :)

Answer:

y = 140°

Step-by-step explanation:

we know that sum of two opposite interior angles are equal to one exterior

=> y = 120° + 20°

=> y = 140°

hope it helps

Explain how to use a number line to find the sum 7 + −2.

Answers

Step-by-step explanation:

start at 7 on the number line. move to the left (because the value is negative) 2 jumps. you will land on 5.

Answer: 5

Step-by-step explanation:

Usually you would just do 7+-2 which is also 7-2 which equals 5 but since it's a number line you do this

You would locate 7 on the number line and do the same for -2

Once done, you would take the distance 2 is from 0 and push 7 there(basically moving it to 5) and that would be how you would use a number line to find the sum of 7 + -2

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A

Step-by-step explanation:

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Step-by-step explanation:

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Attach and send a picture

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A (0, 2)
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C (4,2)
D (4,8)

Answers

THE ANSWER: It is B (5,3)

resuelve la inecuación

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Answers

Answer:

x<5

Step-by-step explanation:

(3x<15)

Divide both sides by 3. Since 3 is positive, the inequality direction remains the same.

x<15/3

Divide 15 by 3 to get 5.

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Answers

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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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