Ashare of stock in the bree medical supply company is quoted at 351
/4
. suppose you hold 20 shares
of that stock, which you bought at 311
/2
. if you sold your stock at 351
/4
, which of the following would be
true?
a. you made a profit of $705.00.
b. you suffered a loss of $75.00.
c. you made a profit of $75.00.
d. you suffered a loss of $630.00.

Total number of stocks bought = 20
Rate at which each stocks were bought = 31 1/2
                                                             = 63/2
Rate at which 20 stocks were bought = 20 * (63/2) dollars
                                                             = 10 * 63 dollars
                                                             = 630 dollars
Rate at which each stocks were sold = 35 1/4
                                                             = 141/4 dollars
Rate at which 20 stocks were sold = 20 * (141/4) dollars
                                                         = 5 * 141 dollars
                                                         = 705 dollars

705- 630 75 C you made a profit of $75.00

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!