The end result will not be the same as the beginning number because of the change in amounts in-between. Here's an example similar but easier
I have two dollars
I get half of it more
I now have three dollars
I give half of that away
Now I have a dollar and a half
It all depends on that the course if of the numbers
Answer:

Step-by-step explanation:
GIVEN: Catherine sells cupcakes c for
each, The ingredients for each cupcake cost her
, and the sum of all her other expenses is
.
TO FIND: Equation to represent Catherine's profit from selling cupcakes.
SOLUTION:
Cost of ingredients for each cupcake 
sum of all other expenses 
Selling price of each cupcake 
Total cupcakes sold 
Now,
As we know that 
putting values,


Hence the equation to represent Catherine's profit (p) from selling cupcakes for one month Catherine sells is 
In my personal opinion I'd say a gallon, just because when someone asks "How much lemonade is in that pitcher?" I think it's best to say a gallon over 16 cups(:
(-7 , 13) is the distance
The amount of $7389.43 has to be invested at 5.9% interested continuously to have $15,000 after 12 years.
Step-by-step explanation:
The given is,
Future value, F = $15,000
Interest, i = 5.9%
( compounded continuously )
Period, t = 12 years
Step:1
Formula to calculate the present with compounded continuously,
...............(1)
Substitute the values in equation (1) to find the P value,
( ∵
)

( ∵
)
We change the P (Present value) into the left side,


≅ 7389.43
P = $ 7389.43
Result:
The amount of $7389.43 has to be invested at 5.9% interested continuously to have $15,000 after 12 years.