Answer:
In 2012 , the population will be 15 million
Step-by-step explanation:
We start by setting up an exponential equation that defines the increase
P(t) = I(1 + r)^t
P(t) represents the present population = 15 million
I is the population in 2007 which is 13.8 million
r is 1.6% = 0.016
t is what we want to calculate
15 million = 13.8 million (1 + 0.016)^t
15/13.8 = (1.016)^t
1.09 = (1.016)^t
ln 1.09 = t ln 1.016
t = ln 1.09/ln 1.016
t = 5.429 which is approximately 5
So in 2007 + 5 = 2012, the population will be 15 million
Answer:
1.
Variable: x
Inequality: x ≤ 12
Value that matches: 12
2.
Variable: y
Inequality: y < 66
Value that matches: 60
Step-by-step explanation:
Solving (1):
Let x be the variable
Reading through the question, we have the inequality to be represented by "at most".
At most is used for less than or equal to.
Hence, the expression can be represented by:
x ≤ 12
The range of this inequality is limited to all natural number that do not exceed 12.
Examples are 8, 2, 11, 12
Solving (2):
Let the variable be y
Reading through the question, we have the inequality to be represented by "below".
Below means less than
Hence, the expression can be represented by:
y < 66
The range of this inequality is limited to all number less than 66.
Examples are 65, 1 , 60......
Let's take as example a linear function of the form:
y = kx.
Where,
k is the constant of proportionality.
Therefore, the proportionality constant is the point:
(x, kx)
Generically it is always the point:
(x, k * f (x))
Where, f (x) is a function proportional to x.
answer:
The constant of proportionality is always the point (x, k * f (x)), where k is the constant of proportionality.
Answer:
X-6
Step-by-step explanation:
Represent the unknown number with a variable then introduce the minus sign
