We assume the annual percentage increase is the same. We will work out the constant k using the formula
We have
P = 76
A = 72
t = 6 years (from 1992 to 1998)
Substitute into the formula
Take log both sides give
We can now work out the number of population by the end of 2012 using the formula
We have
A = 72 million
k = 0.009
t = 10 years (1992 to 2012)
≈79 million
"In Grade 2 and early in Grade 3, students learned to use bar models to solve two-step problems involving addition and subtraction. This is extended in this chapter to include multiplication and division.
Both multiplication and division are based on the concept of equal groups, or the part-part-whole concept, where each equal group is one part of the whole. In Grade 2, students showed this with one long bar (the whole) divided up into equal-sized parts, or units. This unitary bar model represents situations such as basket of apples being grouped equally into bags. " <span>https://www.sophia.org/tutorials/math-in-focus-chapter-9-bar-modeling-with-multipli</span>
Answer:
6x2+15x
Step-by-step explanation:
The root of an equation f(x) is the x value(s) for which f(x) = 0.
So, if you have f(x) = 6x + 3, to find its root(s), you do 0 = 6x + 3, and then
0 - 3 = 6x + 3 - 3
-3 = 6x + 0
-3 = 6x
-3/6 = 6x/6
-1/2 = x
x = -1/2 is the one and only root (Linear functions will always have 0 or 1 root. They will have zero roots if they are horizontal lines of the form y = c, where c is any constant, and they will have one root if they are of the form y = mx + b, where m is not 0.)
They are incorrect because when going from percent to decimal, you divide the percent by 100 and when going from decimal to percent you multiply the decimal by 100. So in the case of 14.5%... divide 14.5% by 100 to get .145. The correct decimal is .145 not 14.5.
