SOLUTION: Yearly sales of an electronic device S(t), in millions of dollars, t years after 1997 can be estimated by S(t)=100*2^t. Determine the year in which sales reached $1000 million.

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: Yearly sales of an electronic device S(t), in millions of dollars, t years after 1997 can be estimated by S(t)=100*2^t. Determine the year in which sales reached $1000 million.      Log On


   



Question 726271: Yearly sales of an electronic device S(t), in millions of dollars, t years after 1997 can be estimated by S(t)=100*2^t. Determine the year in which sales reached $1000 million.
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
+S%28t%29+=+100%2A2%5Et+
given: +S%28t%29+=+1000+
+1000+=+100%2A2%5Et+
+2%5Et+=+10+
+t%2Alog%28+2+%29+=+log%28+10+%29+
+t+=+1+%2F+log%282%29+
+t+=+1+%2F+.30103+
+t+=+3.322+
1997 + 3 yrs = 2000
In the year 2000, the sales reached 1000 million
check:
+S%28t%29+=+100%2A2%5Et+
+1000+=+100%2A2%5E3.322+
+1000+=+100%2A10.0005+
+1000+=+1000.0005+ close enough