Amy has three pieces of string of length 16 cm, 56 cm and 24 cm respectively. For an art project, she wants to cut the three len
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Answer:
Step-by-step explanation:
Area of rectangle is
A = 5(4x) = 20x
Part A
(D) <em>100 ≤ 20x ≤ 1,000</em>
Part B
≤
≤
<em>5 ≤ x ≤ 50</em>
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