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November 23, 2014

November 23, 2014

Posted by **brittany** on Sunday, May 15, 2011 at 11:58pm.

of 12.2 % per year. How long would it take for infant mortality

to be reduced by 31 %?

- calculus -
**Damon**, Monday, May 16, 2011 at 4:19am100 - 12.2 = 87.8%

dx/dt = -.122 x

dx/x = -.122 dt

ln x = -.122 t + C

x = e^(C-.122 t)

x = c e^(-.122 t)

when t = 0, x = 100%

so

x = 100 % e^(-.122 t)

(100 %-31 %) = 100 % e^-.122 t

.69 = e^(-.122 t)

ln(.69) = -.122 t

-.371 = -.122 t

t = 3.04 years

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