To solve this we are going to use the exponential function:

where

is the final amount after

years

is the initial amount

is the decay or grow rate rate in decimal form

is the time in years
Expression A

Since the base (0.95) is less than one, we have a decay rate here.
Now to find the rate

, we are going to use the formula:

*100%

*100%

*100%

5%
We can conclude that expression A decays at a rate of 5% every three months.
Now, to find the initial value of the function, we are going to evaluate the function at






We can conclude that the initial value of expression A is 624.
Expression B

Since the base (1.12) is greater than 1, we have a growth rate here.
To find the rate, we are going to use the same equation as before:

*100%

*100

*100%

*100%

12%
We can conclude that expression B grows at a rate of 12% every 4 months.
Just like before, to find the initial value of the expression, we are going to evaluate it at






The initial value of expression B is 725.
We can conclude that you should select the statements:
- Expression A decays at a rate of 5% every three months, while expression B grows at a rate of 12% every fourth months.
- Expression A has an initial value of 624, while expression B has an initial value of 725.
Step-by-step explanation:
x, y = 2 numbers
x = 2y
y - x/2 = 20
this is impossible to solve. there is no solution.
because the first equation tells us
y = x/2
and so the second equation is
x/2 - x/2 = 20
0 = 20
so, again, no solution.
Answer:
Minimum - 46.4
First quartile - 48.8
Third quartile - 53.2
Median - 50.4
Maximum - 55.9
Step-by-step explanation:
If you write all the numbers down on a piece of paper and start crossing out from the beginning and end Ex. cross out 46.4 and 55.9 until you get to the middle (median) thats how you figure the median out. Continue to do that until you find the first quartile, and last quartile. The maximum and minimum are easy to find those are the biggest and smallest number in the group. To find the first and last quartile, you would do the same thing to find the median just do it from the median and go to the beginning or the end depending on which one you find first. Hope this helps! I learned how to do the crossing things from my old school :)