Answer:
It will take 14.3 years
Step-by-step explanation:
Let the consumption of electricity presently be X kw/h
In the next three years, we would be expecting an increase to 3x kw/h
Since we do not know the number of years it will take, let us represent this by t years.
We can represent the consumption in the next three years by the equation;
x × (1 + 8%)^t = 3x
(1+0.08)^t = 3
(1.08)^t = 3
We can use natural logarithms to get what t is
take the natural logarithm of both sides
ln(1.08)^t = ln3
tln1.08 = ln3
t = ln3/ln1.08 = 1.0986/0.077
t = 14.3 years
Hey there!
It looks like we're factoring.
I always like to think of factoring as the opposite of the distributive property, and you'll see why.
First, we have to <em>factor</em> out a common <em>factor</em> from 21p and 35q, which we'll use as 7.
7 times 3p = 21p and 7 times 5q = 35q
Using our distributive property which is defined as:
a(b+c) = ab+ac we have:
7(3p + 5q)
Multiply it out and you'll get 21p and 35q.
Hope this helps!
We are given the data here that there are 21 teams and that in the tournament, for each opponent, one team has to play with each other twice. The formula to follow here is T = n*(n-1)*z/2 where T is the total number of games played in total in the tournament, n is the number of teams who participated and z is the number of times they have to face in the eliminations. 2 is attributed to prevent the repetition of the count in the reverse of roles of the opponents. In this case, upon substitution, then T =21*20*2/2 = 420 games in total.