Given an exponential function, say f(x), such that f(0) = 1 and f(1) = 2 and a quadratic finction, say g(x), such that g(0) = 0 and g(1) = 1.
The rate of change of a function f(x) over an interval

is given by

Thus, the rate of change (growth rate) of the exponential function, f(x) over the interval

is given by

Similarly, the rate of change (growth rate) of the quadratic function, g(x) over the interval

is given by

Therefore, the exponential grows at the same rate as the quadratic in the interval <span>

.</span>
Answer:
streamers are closest to her budget.
Step-by-step explanation:
because if you want to buy balloons then you would have to buy 13.3 3 is infinite, but if you bought streamers then you would only buy 10.
Answer:
0.15c-0.072
divide both side by 0.15c
then simplify by the answer then you will get your answer
Step-by-step explanation:
0.15c-0.072
divide both side by 0.15c
then simplify by the answer then you will get your answer
Answer:
0.7743
Step-by-step explanation:
Mean of age = u = 26 years
Standard Deviation =
= 4 years
We need to find the probability that the person getting married is in his or her twenties. This means the age of the person should be between 20 and 30. So, we are to find P( 20 < x < 30), where represents the distribution of age.
Since the data is normally distributed we can use the z distribution to solve this problem. The formula to calculate the z score is:

20 converted to z score will be:

30 converted to z score will be:

So, now we have to find the probability that the z value lies between -1.5 and 1.
P( 20 < x < 30) = P( -1.5 < z < 1)
P( -1.5 < z < 1 ) = P(z < 1) - P(z<-1.5)
From the z-table:
P(z < 1) = 0.8413
P(z < -1.5) =0.067
So,
P( -1.5 < z < 1 ) = 0.8413 - 0.067 = 0.7743
Thus,
P( 20 < x < 30) = 0.7743
So, we can conclude that the probability that a person getting married for the first time is in his or her twenties is 0.7743
35 lbs, your welcome even though you probably don't need the answer anymore