SOLUTION: In 1990 the population of Anchorage Alaska was about 226000 and increasing at an annual rate of about 2.5%. When will the population reach 1 million? Give the year and the month.

Algebra ->  Functions -> SOLUTION: In 1990 the population of Anchorage Alaska was about 226000 and increasing at an annual rate of about 2.5%. When will the population reach 1 million? Give the year and the month.      Log On


   



Question 547070: In 1990 the population of Anchorage Alaska was about 226000 and increasing at an annual rate of about 2.5%. When will the population reach 1 million? Give the year and the month.
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
At the end of 1990:
+P+=+226000+
At the end of 1991:
+P+=+226000+%2B+.025%2A226000+
+P+=+226000%2A%28+1+%2B+.025+%29+
At the end of 1992:
+P+=+226000%2A%28+1+%2B+.025+%29+%2B+.025%2A226000%2A%28+1+%2B+.025+%29+
+P+=+%28+1+%2B+.025+%29%2A226000%2A%28+1+%2B+.025+%29+
+P+=+226000%2A%28+1+%2B+.025+%29%5E2+
---------------------------
I can say:
+1000000+=+226000%2A%28+1+%2B+.025+%29%5En+
Where +n=0+ is 1990
+n+=+1+ = 1991, etc.
+%28+1+%2B+.025+%29%5En+=+1000000%2F226000+
++1.025%5En+=+4.425+
+n%2Alog%28+1.025+%29+=+log%28+4.425+%29+
+n+=+log%28+4.425+%29+%2F+log%28+1.025+%29+
You can find with calculator
Add n to 1990
The decimal portion gets multiplied by 12 to find month