Answer:
Step-by-step explanation:
If the population increases at a rate of 4% per annum, then:
In year 1:
Where 
is the initial population and 
is the population in year n
In year 2
It can also be written as:
Taking out common factor
Taking out common factor (1 + 0.04)
Taking out again common factor
Simplifying
So
This is the equation that represents the population for year n
Then, in 4 years, the population will be:
Answer:
the answer is 12 inches
Step-by-step explanation:
there is 1 foot per 12 inches
or
12 inches make a foot
Answer:
(-65)/17
Step-by-step explanation:
Evaluate 3/(x - 2) - sqrt(x - 3) where x = 19:
3/(x - 2) - sqrt(x - 3) = 3/(19 - 2) - sqrt(19 - 3)
19 - 3 = 16:
3/(19 - 2) - sqrt(16)
19 - 2 = 17:
3/17 - sqrt(16)
sqrt(16) = sqrt(2^4) = 2^2:
3/17 - 2^2
2^2 = 4:
3/17 - 4
Put 3/17 - 4 over the common denominator 17. 3/17 - 4 = 3/17 + (17 (-4))/17:
3/17 - (4×17)/17
17 (-4) = -68:
3/17 + (-68)/17
3/17 - 68/17 = (3 - 68)/17:
(3 - 68)/17
3 - 68 = -65:
Answer: (-65)/17
First let's solve for the rate, "b", by setting up a ratio with the two points given:
16.875/7.5=(ar^3)/(ar)
2.25=r^2
r=1.5
Now we need to solve for the initial value a using either point given...
7.5=a(1.5)^1
7.5=1.5a
a=5
So now we have solved for both variables and have a complete equation:
y=5(1.5)^x
7.76, when rounded, is 7.8
