If the town decreases at a rate of 8% per year, it would take 6 years.
100% - 8% = 92%
We would multiply each population per year by 0.92 as the town is decreasing in population by 8% per year
1st year: 18,000 • .92 = 16,560
2nd year: 16,560 • .92 = 15,235.2
3rd year: 15,235.2 • .92 = 14,016.384
4th year: 14,016.384 • .92 = 12,894.72
5th year: 12,894.72 • .92 = 11,863.1424
6th year: 11,863.1424 • .92 = 10,914.091
10,914 is less than 11,000 meaning it would take 6 years for the population to be fewer than 11,000 if the town is decreasing in population at a rate of 8% per year
Answer:
Investment is a source of Income.
<h3>OR</h3>
Self Employment Income
Answer: -7twice
Step-by-step explanation:
This is a question on root of quadratic equation. The interpretation of the question
x² 14x + 49 is
x² + 14x + 49 = 0.meaning that we are to find two possible values for x that will make the expression equal 0.
We can use any of the methods earlier taught. For the purpose of this class, I am using factorization methods
x² + 14x + 49 = 0
Now, find the product of the first and the last terms, is
x² × 49 = 49ײ
Now find two terms such that their productbis 49x² and their sum equals 14x, the one in the middle.
We have several factors of 49x² but only one will give sum of 14x. Because of the time, I will only go straight to the required factors .
49x² = 7x × 7x and the sum gives 14x the middle terms..
Now we now replace the middle one by the factors and then factorize by grouping.
x² + 14x + 49 = 0
x² + 7x + 7x + 49 = 0
x(x + 7) + 7(x + 7) = 0
(x + 7)(x + 7). = 0
Now to find this value of x,
x + 7 = 0
x. = -7twice.
The root of the equation = -7twice.
<u>Answer:</u>
- The length of the hypotenuse is 36 miles.
<u>Step-by-step explanation:</u>
<em>We can solve for 'a' using Pythagoras theorem. Let's solve it.</em>
- 39² = a² + 15²
- => 1521 = a² + 225
- => a² = 1296
- => a = 36
Hence, the length of the hypotenuse is 36 miles.
Hoped this helped.
