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Ede4ka [16]
3 years ago
9

A rabbit population of 500 was introduced in a certain county of Eagleville. Biologists observe that the population increases 25

% each year. Complete the following:
a. Identify a and b.
b. Write an exponential function that models the situation if the trend continues.
c. How many rabbits will be in Eagleville after 10 years?.
Mathematics
2 answers:
Nostrana [21]3 years ago
7 0

Answer:

c. How many rabbits will be in Eagleville after 10 years?.

Step-by-step explanation:

Answer.

Ipatiy [6.2K]3 years ago
5 0

Answer:

Step-by-step explanation:

The exponential growth equation that represents the rabbit population y) after x years is y = 500(1.25)ˣ

Exponential growth is given by:

y = abˣ

where a is the initial value of y, b is the multiplier and b>1, y, x are variables.

Let y represent the total rabbit population after x years.

Since there were 500, introduced hence a = 500. Also the population increases 25% each year, hence:

b = 100% + 25% = 1 + 0.25 = 1.25

y = 500(1.25)ˣ

The exponential growth equation becomes y = 500(1.25)ˣ

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The sum of three consecutive numbers is 72 what is the smallest of the numbers
mylen [45]

Answer:

23

Step-by-step explanation:

Suppose,

the first number = x

the second number = x+1

the third number = x+1+1 = x+2

Question wise,

x+x+1+x+2 = 72

3x+3 = 72

3x = 72-3 = 69

x = 69/3 = 23

so the numbers are,

23,(23+1)=24 and (23+2)=25

6 0
3 years ago
Which value of x solves the equation cos x° = sin (20° + x°), where 0 < x < 90? A. 30° B. 35° C. 40° D. 45° E. 55°
daser333 [38]

Answer:

Option B (35°).

Step-by-step explanation:

To solve this question, the trigonometric identity sin x = cos (90-x) is required. It can also be written as cos x = sin (90-x). It can be seen that this identity holds when the two angles are complementary i.e. they sum up to 90 degrees. Therefore, the answer can be determined by substituting all the options one by one in the identity cos x = sin (20+x). If x=30 degrees, then x+20=50 degrees. 30 and 50 are not complementary. If x=35 degrees, then x+20=55 degrees. 35 and 55 are complementary since their sum is 90 degrees. Therefore, B is the correct choice!!!

4 0
3 years ago
How do you do one-step equations?
strojnjashka [21]
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6 0
3 years ago
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ludmilkaskok [199]

Answer:

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Step-by-step explanation:

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6 0
4 years ago
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morpeh [17]
<h2><em>which of the following ratios is equivalent to 5 to 20</em></h2>

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Step-by-step explanation:

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<em>hope </em><em>it</em><em> helps</em>

4 0
2 years ago
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