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
Answer:
I think the answer is.. .
Step-by-step explanation:
(b)
It will be 14 we calculated
Step-by-step explanation:
So the general formula for compound interest is 
where r is the interest rate, t is the time in years, and n is the amount of compounds per year. So plugging in the values for both equations you'll get
Opportunity Loans:
Now to find the interest accrued on this loan you simply subtract 1600 from the A or final amount
General Loans:
To find the interest we do the same thing we did in the previous problem
Opportunity loans has the least amount of interest after a year
Answer:
24
Step-by-step explanation:
i used calculator. it is so easy
