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

7 0

3 years ago

The sum of the first five terms of 3,-9,27,-81

xeze [42]

Answer:

Step-by-step explanation:

The answer above is correct, but I do want to elaborate on how to receive this answer;

This pattern takes an alternate of positive and negative numbers at a time. If you can see for each positive number, there is a negative consecutively. Imagine these values were all positive. What would then be the difference between each? 3 * 3 = 9, 9 * 3 = 27, 27 * 3 = 81, and so each number would be 3 times the other. Now let us go back to the state we have at hand, negative and positive numbers. 81 * 3 = 243, and as we alternate between negative and positive numbers, 243 should be positive as the previous number - 81, is negative. We have now received our 5th term!

The questions asks us to determine the sum of each of the terms however, so let us do so;

$3 - 9 + 27 - 81 + 243,\\- 6 + 27 - 81 + 243,\\21 - 81 + 243,\\- 60 + 243,\\\\183\\Solution = 183$