Calculus

Owing to an innovative rural public health program, infant mortality in Senegal, West Africa, is being reduced at a rate of 10% per year. How long will it take for infant mortality to be reduced by 50%?

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  1. 8.42

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  2. 100%-10%=90% 90/100= .9
    Each year there is 90% increase or .9

    We are looking for when the mortality rate is down to 50% or .5

    The equation is .9^x=.5
    Change into Logarithmic form:

    log(base .9).5=x
    Change of base formula:
    log.5/log.9=x
    x=6.5788 or 6.57 years

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