Answer:
Step-by-step explanation:
The exponential growth function compounded continuously is equal to
where
A is the final population
P is the initial population
r is the rate of growth in decimal
t is Number of years
e is the mathematical constant number
we have
substitute in the function above
simplify
Take natural log of both sides
![ln(4)=ln[(e)^{0.09t}]](https://tex.z-dn.net/?f=ln%284%29%3Dln%5B%28e%29%5E%7B0.09t%7D%5D)
Answer:
A,C,F,G,H
Step-by-step explanation:
According to the given statement the radius of the circle before dilation is 1/2ft and the scale factor is 8. The dilation by scale factor 8 means the radius of new circle is 8 times of the original circle(4ft)
The circumference of the circle is 2πr.
If we replace r by 8r and substitute it in the formula then the circumference will be:
C=2π(8r)
C=8*(2πr)
It means the circumference is 8 times the original circumference.
Now put the value of original circle radius in this new circumference we get:
C=8*(2πr)
C=8*(2π*1/2)
C=8πft
Now the area of the circle = πr^2
Now put the value of r replaced by 8r in the formula.
A=π(8r)^2
A=64πr^2
Thus the area will be 64 times by the original circle area
If we plug the value of original circle radius in this new formula of area we get.
A=64πr^2
A=64π(1/2)^2
A= 16πft^2
Thus the correct statements are: A, C, F,G,H....
Hey there!
|c^2 + b^2|
= -2^2 + -3^2
= -2^2 - 3^2
= -4 - 9
= -13
Therefore, your answer is: -13
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
Answer:
Step-by-step explanation:
This phrase can be written as this mathematical expression:
28 + 35 = 63
