Answer:
4289 kilometers squared
Step-by-step explanation:
This is an example of compounding. We start with the basic 4800 kilometers of land. We then find seven percent of the 4800 kilometers and subtract that same seven percent. If we are trying to find the area after twelve years, we must repeat this process twelve times. This does not mean that we find seven percent of 4800 then repeat subtracting the same amount. We need to fix the seven percent so that we can get seven percent of the amount we currently have.
With this in mind, we need to write a equation:
[tex]cv = cv/107[/tex]*
*Note that we are trying to find 93% of the current value (cv). We need to divide by 107%, not 7% (would be an illogical divisor). Then, when we divide by 107%, we have the 7% that we need to subtract by. There, we find the needed 93%
Now we can solve.
4800/107 = 45**(1)
4800 - 45 = 4755
4755***/107 = 44**(2)
***As mentioned earlier, we do not continue to subtract 45. We need to adjust to a new current value (cv).
4755 - 44 = 4711
4711/107 = 44**(3)
4711 - 44 = 4667
4667/107 = 44**(4)
4667 - 44 = 4623
4623/107 = 43**(5)
4623 - 43 = 4580
4580/107 = 43**(6)
4580 - 43 = 4537
4537/107 = 42**(7)
4537 - 42 = 4495
4495/107 = 42**(8)
4495 - 42 = 4453
4453/107 = 42**(9)
4453 - 42 = 4411
4411/107 = 41**(10)
4411 - 41 = 4370
4370/107 = 41**(11)
4370 - 41 = 4329
4329/107 = 40**(12)****
****Meaning that this is the last year
4329 - 40 = 4289
Your answer is 4289 kilometers squared.
Hope this helped.
