Answer:
The average rate of change is -3.
Step-by-step explanation:
We are given the function:

And we want to find the average rate of change from <em>x </em>= 0 to <em>x </em>= 3.
In other words, we will compute the function at the two endpoints, and then find the slope of the line that crosses the two points.
For our first endpoint at <em>x</em> = 0, our function evaluates to:

So, our first point is (0, 9).
For our second endpoint at <em>x</em> = 3, our function evaluates to :

So, our second point is (3, 0).
Then by the slope formula, our average rate of change will be:

Current amount in account
P=36948.61
Future value of this amount after n years at i=11% annual interest
F1=P(1+i)^n
=36948.61(1.11)^n
Future value of $3000 annual deposits after n years at i=11%
F2=A((1+i)^n-1)/i
=3000(1.11^n-1)/0.11
We'd like to have F1+F2=280000, so forming following equation:
F1+F2=280000
=>
36948.61(1.11)^n+3000(1.11^n-1)/0.11=280000
We can solve this by trial and error.
The rule of 72 tells us that money at 11% deposited will double in 72/11=6.5 years, approximately.
The initial amount of 36948.61 will become 4 times as much in 13 years, equal to approximately 147800 by then.
Meanwhile the 3000 a year for 13 years has a total of 39000. It will only grow about half as fast, namely doubling in about 13 years, or worth 78000.
Future value at 13 years = 147800+78000=225800.
That will take approximately 2 more years, or 225800*1.11^2=278000.
So our first guess is 15 years, and calculate the target amount
=36948.61(1.11)^15+3000(1.11^15-1)/0.11
=280000.01, right on.
So it takes 15.00 years to reach the goal of 280000 years.
Answer:
79 people can only be in this so we have 53 kids so 53 * 4 = 212
Step-by-step explanation:
However, there is 53 kids to find how many adults you will have to do 79 - 53 which that = 26 so 26 adults were there. so 26 * 8.50 = 221.
To fine how much money they earn you will just have to add them up so
$212 + $ 221 = $433 so they didn't really earn the amount of money they really want which is $ 460.
Answer:
Since 3 pounds would get you 5 yogurts multiply that by two and you get 10
The answer is 10 yogurts
Hope it helped!
Step-by-step explanation:
Well i would say it would be 8.9