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MrRa [10]
3 years ago
5

(1 point) An innovative rural public health program is reducing infant mortality in a certain West African country. Pretend the

program in Senegal has been reducing infant mortality at a rate 7.3 % per year. How long will it take for infant mortality to be reduced by 33 %
Mathematics
1 answer:
nataly862011 [7]3 years ago
4 0

Answer:

Infant mortality will reduce to 33% in 1.63 years

Step-by-step explanation:

Let the population be X

Population after 1 year

X - 7.3 % of X

X -0.073 X\\0.927X

As we know

P = P_0 * e^{rt}

Substituting the given values we get -

\frac{P_0 - 0.33P_0}{P_0} = e^{-0.33 * t}\\0.67 = e^{-0.33 * t}\\

Taking log on both sides we get -

-0.20273 = -0.33 * t\\t = 1.627

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