Isadore vogt has a new sales job that pays a straight commission of 4% on all sales. the average weekly sales for his territory are $20,400. at this sales rate, how much could isadore earn in one year of work, rounded to the nearest thousand?

$42,000 ( rounded to nearest thousand )

Step-by-step explanation:

The average weekly sales for his territory =$20,400

Number of weeks in a year = 365/7≈52

Hence total sales in a year = 52 x $20,400

= $10,60,800

The rate of commission = 4%

Hence commission earned on sales for the full year = 4% of  $10,60,800

= 0.04 x  $10,60,800

= $42,432

Hence Isadore earns an commission of $42,000 ( rounded to nearest thousand ) per year

let's add {f(x)=x+1}f(x)=x+1 and {g(x)=2x}g(x)=2x together to make a new function.

f(x)+g(x) =(x+1)+(2x)=x+1+2x=3x+1

let's call this new function hh. so we have:

{h(x)}={f(x)}+{g(x)}{=3x+1}h(x)=f(x)+g(x)=3x+1

we can also evaluate combined functions for particular inputs. let's evaluate function hh above for x=2x=2. below are two ways of doing this.

method 1: substitute x=2x=2 into the combined function hh.

h(x)

h(2)

​    

=3x+1

=3(2)+1

=7

​ since h(x)=f(x)+g(x)h(x)=f(x)+g(x), we can also find h(2)h(2) by finding f(2) +g(2)f(2)+g(2).

first, let's find f(2)f(2):

f(x)

f(2)

​    

=x+1

=2+1

=3

​  

now, let's find g(2)g(2):

g(x)

g(2)

​    

=2x

=2⋅2

=4

​  

so f(2)+g(2)=3+4=\greend7f(2)+g(2)=3+4=7.

notice that substituting x =2x=2 directly into function hh and finding f(2) + g(2)f(2)+g(2) gave us the same answer!