 My Math Forum Is There A Proof That This Function Decreases?

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 October 12th, 2018, 12:37 PM #1 Senior Member   Joined: Oct 2013 From: New York, USA Posts: 675 Thanks: 88 Is There A Proof That This Function Decreases? I don't know what type of math it requires, but calculus includes rates of change so I posted it here. The rule of 70 states that 70 divided by the percent increase per period will estimate the amount of periods it will take money to double. I entered multiples of 0.1% into Excel from 0.1% through 10%. Then I took the amount to the exponent of (70/the % increase) to calculate the ratio. For example, a 0.1% increase for 700 periods multiplies amounts by about 2.013. As the percents increased from 0.1% to 10%, the amount increased at a decreasing rate. Is there a proof that this function decreases? The percent increase that the rule of 70 would make the amount double is between 1.9% and 2.0%. At percent increases higher than that, the formula gives values less than 2. October 13th, 2018, 09:21 AM #2 Senior Member   Joined: Oct 2013 From: New York, USA Posts: 675 Thanks: 88 If it helps, the function is y = (1 + x/100)^(70/x). October 13th, 2018, 10:20 AM #3 Senior Member   Joined: Dec 2015 From: Earth Posts: 819 Thanks: 113 Math Focus: Elementary Math Using derivatives wont show if it decreases , i have no idea for the moment (maybe later i can find) Tags decreases, function, proof Thread Tools Show Printable Version Email this Page Display Modes Linear Mode Switch to Hybrid Mode Switch to Threaded Mode Similar Threads Thread Thread Starter Forum Replies Last Post pedr0bessa Abstract Algebra 0 July 11th, 2017 02:42 PM GIjoefan1976 Algebra 2 February 14th, 2017 03:26 AM r-soy Physics 2 February 1st, 2012 04:26 AM billy_boy Elementary Math 4 September 13th, 2011 11:50 PM bbonds Elementary Math 2 April 22nd, 2009 06:49 AM

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