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Dear sir/madame, I would like to know about a math problem. If we start with an amoun of 100 and in 100 weeks it becomes 1.3M we increase it weekly by 10 procent. I assume the formula is: 100x1,1^100=1.3 now I would like to know if 1.3 is 1000 1000=100x1,1^A, what is A? Could you please show me the formula to calculate this problem. Many thanks! Awa

 Dec 25, 2015
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Dear sir/madame, I would like to know about a math problem. If we start with an amoun of 100 and in 100 weeks it becomes 1.3M we increase it weekly by 10 procent. I assume the formula is: 100x1,1^100=1.3 now I would like to know if 1.3 is 1000 1000=100x1,1^A, what is A? Could you please show me the formula to calculate this problem. Many thanks! Awa

 

If you start with $100 and in 100 weeks you get $1.3M, then the weekly compound rate is slightly less than 10% per week. It's actually 9.94% compounded weekly. At exactly 10% in 100 weeks, your $100 would be worth=1,378,061.23. The formula you would use for this is the following:100(1+10%)^100=100X1.1^100=100 X 13,780.6123=$1,378,061.23.

 Dec 25, 2015
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If I understand your question, I believe you want to know what "A" is if the anount was:

10,001,000=100(1.1)^A. To solve for A, you have to use Logs as follows:

10,001,000=100(1.1)^A, divide both sides by 100

100,010=1.1^A we take the Logs of both sides,

Log(100,010)=A* Log(1.1)

A=Log(100,010) / Log(1.1)

A=120.80 weeks.

 Dec 25, 2015

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