Answer:
To summarize the answer:
Step-by-step explanation:
Given:
Here is the graph associated with this question:
The second function, denoted as 
, does not qualify as a function.
Keep in mind that the g(x) function is the inversion of the f(x) function. Recognizing this pattern indicates a reflection on the Y-axis.
Reflection on the axes:
In the x-axis:
Enhance the function by -1 to illustrate an exponential curve around the x-axis.
In the y-axis:
Decrease the input of the function by -1 to depict the exponential function around the y-axis.
To calculate the mean absolute deviation of
1,2,3,4,5,6,7
, we start by finding the mean;
(1+2+3+4+5+6+7) =28/7
= 4
. Next, we determine the absolute differences of each data point from the mean (x-μ)
= -3,-2,-1,0,1,2,3
. The absolute values are 3,2,1,0,1,2,3
. Now we compute the mean of these absolute differences,
3+2+1+0+1+2+3 = 12
= 12/7
= 1.7143
. Thus, the mean is 4, and the Mean absolute deviation comes out to be 1.7143
The effective annual interest rate calculations yield:
i = (1 + 0.064/12)^12 - 1 = 0.066
For year 1: the interest amounts to $613.80 (calculating $9300 multiplied by 0.066)
For year 2: the interest totals $654.31 (adding year 1’s interest to $9300 and multiplying by 0.066)
For year 3: the interest is $656.98 (following the same process as year 2)
For year 4: the interest is $657.16
The cumulative interest totals: $2582.25
The present value of this sum is:
P = 2582.23 / (1 + 0.066)^4 = $1999.72
Thus, the final answer is $1999.72.
The students likely won't care much about the spending because they aren't using their own money.
Response:
m(n) = 60000
Amount = 60000/n
Step-by-step breakdown:
Provided
Budget = 60000
Solving part (a) as a function mn
To achieve this, simply substitute m(n) for the budget amount.
This results in;
m(n) = 60000
Solving part (b) for the amount each committee is allocated.
Given that the budget will be evenly split.
Amount = m(n)/n
Replace m(n) with 60000
Amount = 60000/n
