Given that a species of beetles grows 32% every year.
So growth rate is given by
r=32%= 0.32
Given that 100 beetles are released into a field.
So that means initial number of beetles P=100
Now we have to find about how many beetles will there be in 10 years.
To find that we need to setup growth formula which is given by
where A is number of beetles at any year n.
Plug the given values into above formula we get:


now plug n=10 years

Hence answer is approx 1606 beetles will be there after 20 years.
Now we have to find about how many beetles will there be in 20 years.
To find that we plug n=20 years

Hence answer is approx 25791 beetles will be there after 20 years.
Now we have to find time for 100000 beetles so plug A=100000





33.174666862=n
Hence answer is approx 33 years.
Answer:
B
Step-by-step explanation:
cus thats the formula
Answer: B) shifts the line 7 units right.
Step-by-step explanation: When the a number is either added or subtracted on the <em>inside </em>(will be surrounded by parentheses if it is on the inside) the parent function is moved right and left. Since it is inside parentheses, though, everything that happens will be the opposite of what it shows. Even though it says -7, and you would assume it shifts left, it doesn't. It actually goes to the right.
Answer:
(d) (7, -5)
Step-by-step explanation:
The x-coordinate is listed first in an ordered pair. It is found on the horizontal scale. The point is on the grid line halfway between 6 and 8, so is presumed to have an x-coordinate of 7.
The y-coordinate is listed second in an ordered pair. It is found on the vertical scale. The point is on the grid line halfway between -4 and -6, so is presumed to have a y-coordinate of -5.
The coordinates of point A are (x, y) = (7, -5).
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<em>Additional comment</em>
As in the case here, you will often run across graphs that don't have markings on every grid line You are expected to be able to figure out the value of a grid line based on the spacing of the marked lines.
It is a good idea to get familiar with reading coordinates of a point on a graph, as you will be doing it a lot.
Answer:
6√3 cm
Step-by-step explanation:
The hypotenuse of a right triangle is 12 centimeters, and the shorter leg is 6 centimeters then the other leg is 6√3