If someone can please help me out with my math, I would greatly appreciate it.
1 answer:
Answer:
The number of tickets they need to sell is
Step-by-step explanation:
The formula is p = n(d - c), where
- P is the total profit made from the event
- n is the number tickets sold
- d is the price charged for each dinner
- c is the cost of food per plate
To find the number of tickets they need to sell separate n in one side and the other variables p, d and c in the other side
p = n(d - c)
n is multiplied by the difference of d and c, so lets divide both sides by the difference of d and c
Cancel (D_C) up with (d - c) down in the right hand side
Switch the two side
The number of tickets they need to sell is
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Step-by-step explanation:
We can model the annual consumption of iron by the equation
c = 900 million tons x , where
n is the number of years after 1993 and
c is the consumption for that year.
An estimate for the total consumption of iron can now be obtained by integrating this equation with respect to a dummy variable, x from 0 to n.
This equation simplifies to
C = 900 million tons x (1.025^n - 1) / ln(1.025), where
x is a dummy variable and
C is the total consumption of iron n years after 1993.
Let R be the amount of iron remaining at n years after 1993, so
R = 480 billion tons - C
R = 480 billion tons - 900 million tons x (1.025^n - 1) / ln(1.025)
We need to find the value of n when R is 0, so
0 = 480 billion tons - 900 million tons x (1.025^n - 1) / ln(1.025)
Simplify this equation to obtain
n = 107.4
So the iron will run out in the year 1993 + 107 = 2100