An end table costs $69.85 today. if the cpi is 194, what would an end table cost in 1983, to the nearest cent? a. $135.51 b. $124.15 c. $36.00 d. $23.76

$36.00

Step-by-step explanation:

The cost performance index (CPI) is a measure of the financial effectiveness and efficiency of a project. As a ratio it is calculated by dividing the budgeted cost of work completed, or earned value, by the actual cost of the work performed, that is to say:

CPI = Budgeted cost of work / Actual cost of work

From the statement we know that:

CPI = 1.94

Budgeted cost of work= $69.85

Cost of work in 1983 = Budgeted cost of work / CPI

Cost of work in 1983 = $69.85 / 1.94 = $36.00

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!