If a salesman has a base salary of $2,000 per month and makes an additional 4% on every sale, how much merchandise must he sell in a year to make $60,000?

$900,000 merchandise.

Step-by-step explanation:

Salesman has a base salary of $2000 per month.

He makes additional 4% on every sale.

So expression for his earning will be

Earnings = 12(2000) + 4% of x

              = Where x is the additional on every sale

Earnings = 12(2000) + 0.04x

If earnings are $6,000 then

6,000 = 24000 + 0.04x

0.04x = 60,000 - 24,000

0.04x = 36,000

x = = $900,000 merchandise.

.25

step-by-step explanation:

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!