You can see how this works by thinking through what's going on.
In the first year the population declines by 3%. So the population at the end of the first year is the starting population (1200) minus the decline: 1200 minus 3% of 1200. 3% of 1200 is the same as .03 * 1200. So the population at the end of the first year is 1200 - .03 * 1200. That can be written as 1200 * (1 - .03), or 1200 * 0.97
What about the second year? The population starts at 1200 * 0.97. It declines by 3% again. But 3% of what??? The decline is based on the population at the beginning of the year, NOT based no the original population. So the decline in the second year is 0.03 * (1200 * 0.97). And just as in the first year, the population at the end of the second year is the population at the beginning of the second year minus the decline in the second year. So that's 1200 * 0.97 - 0.03 * (1200 * 0.97), which is equal to 1200 * 0.97 (1 - 0.03) = 1200 * 0.97 * 0.97 = 1200 * 0.972.
So there's a pattern. If you worked out the third year, you'd see that the population ends up as 1200 * 0.973, and it would keep going like that.
So the population after x years is 1200 * 0.97x
There are 4 triangles with base of 5 and height of 8.4
Area of triangle = 1/2 x base x height
Area of triangle = 1/2 x 5 x 8.4 = 21 m^2
Multiply by 4 = 21 x 4 = 84 m^2
Area of the base = length x width = 5 x 5 = 25 m^2
Total area = 84 + 25 = 109 m^2
Hey there! I"m happy to help!
The interior angles of a triangle add up to 180. We have 2 angles that have a value of x, so 2x+138=180.
We subtract 138 from both sides.
2x=42
We divide both sides by 2
x=21.
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Answer:
$51,557.00
Step-by-step explanation:
1100 times 9% = 99 a year
99 times 43 = 4257
1100 times 43 =47,300
then you add 47,300 + 4257 = 51,557
you take your total that she put into the ira and multiply it by 9%
then you multiply that total by the number of years before she retires which is 43
so 99 times 43 = 4257
then you will multiply how much she put in the ira at the beginning of the year which is 1100 by the 43 years before she retires which is 47,300
then you add your totals together
4257 + 47,300 = 51,557
