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3 years ago

The fox population in a certain region has an annual growth rate of 4 percent per year. It is estimated that

Mathematics

1 answer:

Minchanka [31]3 years ago

7 0

Answer:

(a) P(t) = 12100*(1.04^t)

(b) in 2008, estimate of population is 16560 (to the nearest integer)

Step-by-step explanation:

Population in 2000, P(0) = 12100

Growth rate = 4% each year

(a) function model for the t year after 2000 (exponential model)

P(t) = 12100*(1.04^t)

(b) for 2008,

P(2008-2000)

= P(8)

= 12100*(1.04^8)

= 12100 * 1.368569

= 16559.7

= 16560 (nearest integer)

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Choose the method to solve the problem below: There are members on a board of directors. If they must form a subcommittee of mem

shepuryov [24]

Answer:

b. 56

Step-by-step explanation:

Please consider the complete question.

There are 8 members on a board of directors. If they must form a subcommittee of 3 members, how many different subcommittees are possible?

We will use combinations for solve our given problem.

$^nC_r=\frac{n!}{r!(n-r)!}$ , where,

n = Number of total items,

r = Items being chosen at a time.

For our given scenario $n=8$ and $r=3$ .

$^8C_3=\frac{8!}{3!(8-3)!}$

$^8C_3=\frac{8!}{3!\cdot 5!}$

$^8C_3=\frac{8\cdot7\cdot6\cdot5!}{3\cdot2\cdot1\cdot 5!}$

$^8C_3=8\cdot7$

$^8C_3=56$

Therefore, 56 different subcommittees are possible and option 'b' is the correct choice.

4 0

3 years ago

8 less than one third of x and y

tester [92]

<span>y=(x/3)−8
hope this helps pls mark me as brainliest</span>

8 0

3 years ago

Identify an equation in point-slope form for the line perpendicular to y = 1/4 x - 7 that passes through (-2,-6)

valkas [14]

I'm pretty sure it's y=4x-7. I could be wrong but the way I set it up is definitely close if not correct

3 0

3 years ago

What is 6x^3+20x^2+15x+3 divided by 3x+1

torisob [31]

Answer:

2x^2+6x+3

Step-by-step explanation:

answer : 2x^2+6x+3

3 0

3 years ago

What is the value of x in the proportion (x-1)/5=(4x+2)/35

neonofarm [45]

(x-1)/5 = (4x + 2)/35

lets start off by multiplying each side by 5

(x-1) = 5(4x + 2)/35

then let's multiply both sides by 35

35(x-1) = 5(4x + 2)

now let's distribute the coefficients (5 and 35) into everything in the brackets

35 times x is 35x
35 rimes 1 is 35

5 times 4x is 20x
5 times 2 is 10

(35x - 35) = (20x + 10)

we can add 35 to both sides

35x = 20x + 45

then subtract 20x on both sides

15x = 45

then divide both sides by 15

x = 3

4 0

3 years ago