SOLUTION: suppose i put £6,000 into a bank account that pays interest at a rate of 8% per year, compounded weekly. How many years will it take for me to double my money?

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Question 960770: suppose i put £6,000 into a bank account that pays interest at a rate of 8% per year, compounded weekly. How many years will it take for me to double my money?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
+2%2A6000+=+12000+
+12000+=+6000%2A%28+1+%2B+.08%2F52+%29%5E%2852t%29+
+2+=+1.001538%5E%2852t%29+
Take the log of both sides
+log%28+2+%29+=+52t%2Alog%28+1.001538+%29+
+.30103+=+52t%2A.0006674+
+.30103+=+.034706t+
+t+=+8.6736+
and
+.6736%2A12+=+8.08+
You will double your money in 8 yrs 8 months
check:
+2+=+1.001538%5E%2852t%29+
+2+=+1.001538%5E%2852%2A8.6736%29+
+2+=+1.001538%5E451.027+
+2+=+1.9999989+
close enough