All categories

3 years ago

Which of these values for p and a will cause the function f(x)=Pa^x to be an exponential growth function?

Mathematics

2 answers:

Lera25 [3.4K]3 years ago

8 0

Grouth is when a>1
if a=1, theer is no change
if a<1, it is exponetial decay

B is answer

finlep [7]3 years ago

4 0

The correct answer is:

B.P=1/4;a=5

Explanation:

In order to represent exponential growth, a must be a positive number larger than 1. If it is a fraction less than 1, we are basically taking a percent (less than 100) of the number; this makes it smaller, which would be decay. If a is a negative, the values would alternate between positive and negative.

The only option where a is a positive number larger than 1 is P=1/4 and a=5.

You might be interested in

How many fluid ounces of vinegar should be mixed with 80 fluid ounces of water

patriot [66]

That depends on what you are making. If you are going for the vinegar cleanse thing that some people do on their face, then I would recommend either using 120 oz of vinegar or 160 oz vinegar. If you want salad dressing, then you don't use water at all, and instead you use olive oil and salt, Dijon mustard, pepper, and something like chopped shallots, and with this you would use only 1 fluid ounce of vinegar (this is a recipe you can find on epicurious.com). So it really depends on what you are trying to do. I personally like my water without vinegar, and I think that vinaigrette salad dressing is a lot better without 80 oz of water, but that is a personal preference.

5 0

3 years ago

When the value of the y-intercept(b) change by subtracting a number from "b" in the equation "y=mx+b", the graph will move of sh

ehidna [41]

Answer:

True. The graph will shift down if we subtract a number from "b"

Step-by-step explanation:

"b" represents the y-intercept, or how high up on the y axis the graph intersects.

If we don't change anything except for the y-intercept, then the graph should only move up or down.

Because we are decreasing the value of "b" the y intercept will decrease, dragging the graph of y down.

6 0

3 years ago

According to the National Association of Colleges and Employers, the average starting salary for new college graduates in health

katen-ka-za [31]

Answer:

a) The probability that a new college graduate in business will earn a starting salary of at least $65,000 is P=0.22965 or 23%.

b) The probability that a new college graduate in health sciences will earn a starting salary of at least $65,000 is P=0.11123 or 11%.

c) The probability that a new college graduate in health sciences will earn a starting salary of less than $40,000 is P=0.14686 or 15%.

d) A new college graduate in business have to earn at least $77,133 in order to have a starting salary higher than 99% of all starting salaries of new college graduates in the health sciences.

Step-by-step explanation:

a. What is the probability that a new college graduate in business will earn a starting salary of at least $65,000?

For college graduates in business, the salary distributes normally with mean salary of $53,901 and standard deviation of $15,000.

To calculate the probability of earning at least $65,000, we can calculate the z-value:

$z=\frac{x-\mu}{\sigma} =\frac{65000-53901}{15000} =0.74$

The probability is then

$P(X>65,000)=P(z>0.74)=0.22965$

The probability that a new college graduate in business will earn a starting salary of at least $65,000 is P=0.22965 or 23%.

b. What is the probability that a new college graduate in health sciences will earn a starting salary of at least $65,000?

For college graduates in health sciences, the salary distributes normally with mean salary of $51,541 and standard deviation of $11,000.

To calculate the probability of earning at least $65,000, we can calculate the z-value:

$z=\frac{x-\mu}{\sigma} =\frac{65000-51541}{11000} =1.22$

The probability is then

$P(X>65,000)=P(z>1.22)=0.11123$

The probability that a new college graduate in health sciences will earn a starting salary of at least $65,000 is P=0.11123 or 11%.

c. What is the probability that a new college graduate in health sciences will earn a starting salary less than $40,000?

To calculate the probability of earning less than $40,000, we can calculate the z-value:

$z=\frac{x-\mu}{\sigma} =\frac{40000-51541}{11000} =-1.05$

The probability is then

$P(X$

The probability that a new college graduate in health sciences will earn a starting salary of less than $40,000 is P=0.14686 or 15%.

d. How much would a new college graduate in business have to earn in order to have a starting salary higher than 99% of all starting salaries of new college graduates in the health sciences?

The z-value for the 1% higher salaries (P>0.99) is z=2.3265.

The cut-off salary for this z-value can be calculated as:

$X=\mu+z*\sigma=51,541+2.3265*11,000=51,541+25,592=77,133$

A new college graduate in business have to earn at least $77,133 in order to have a starting salary higher than 99% of all starting salaries of new college graduates in the health sciences.

8 0

3 years ago

Phil has to put the greatest number of apples and oranges in each of box so each box have the same number of apples and oranges

Andrews [41]

Least common multiple

4 0

3 years ago

Through:(2,-5),slope=3/2

Rainbow [258]

Are you trying write it into slope intercept form ?

8 0

3 years ago