Answer:
The answer to your question is P(t) = 200(1.06)
Step-by-step explanation:
Process
1.- The function must consider the initial population of owls (200) as the main number.
2.- The percent (6) must be in the function but in decimal form 0.06.
3.- The number of years must be the exponent.
4.- (1.06) must be in the function because it consider the 6% the number of years.
5.- Conclusion
The first option is the correct choice
Test
Number of years = 0 P(0) = 200(1.06)⁰ = 200(1) = 200
1 P(1) = 200(1.06)¹ = 212
2 P(2) = 200(1.06)² = 224
This information is correct.
When we square brackets, it is always advised to write out the brackets fully.
(7x - 6)² becomes
(7x - 6)(7x - 6)
Next, we follow FOIL
First (The first term in the set 1 multiplied by the first term in set 2)
Outer (The first term in set 1 multiplied by the second term in set 2)
Inner (The second term in set 1 multiplied by the first term in set 2)
Last (The second term in set 1 multiplied by the second term in set 2)
F 7x x 7x = 49x²
O 7x x -6 = -42x
I -6 x 7x = -42x
L -6 x -6 = 36
Now, we add together all the terms
49x² + -42x + -42x +36
Adding a negative is the same as subtracting
49x² - 42x - 42x + 36
Finally, simplify (add together the like terms)
49x² -84x + 36
Answer:
62.8 m
Step-by-step explanation:
The necessary formula here is C = 2πr.
If the radius is 10 m, then C = 2π(10 m) = 20π m, or approximately 62.8 m
Answer:
x ≤ 7
Step-by-step explanation:
7x-50≤ -1 and -6x +70> -2
Solve separately and then put back together
7x-50≤ -1
Add 50 to each side
7x-50+50≤ -1+50
7x ≤ 49
Divide each side by 7
7x/7 ≤ 49/7
x ≤ 7
-6x +70> -2
Subtract 70 from each side
-6x +70-70> -2-70
-6x> -72
Divide by -6, remembering to flip the inequality
-6x/-6 < -72/-6
x < 12
The first is more restrictive, and since it is an and, we use the more restrictive answer
Considering that 30 out of 120 clients are willing to pay at least $95, we use the it's concept and find that there is a 0.25 = 25% probability that a customer is willing to pay at least $95.
<h3>What is a probability?</h3>
A probability is given by the <u>number of desired outcomes divided by the number of total outcomes</u>.
In this problem, we suppose that 30 out of 120 clients are willing to pay at least $95, hence:
There is a 0.25 = 25% probability that a customer is willing to pay at least $95.
More can be learned about the probability concept at brainly.com/question/15536019
