# Calculus

posted by .

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%?

• Calculus -

8.42

• Calculus -

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

## Similar Questions

1. ### check geo

the kalahari desert locaterd in: A)north africa B)southwest asia C)southern africa D)east africa my choose is c africa today has the highest ____ in the world. a)infant mortality and lowest life expectancy B)life expectancy and lowest …
2. ### calculus

A program in Senegal has been reducing infant mortality at a rate of 11.1% per year. How long will it take for infant mortality to be reduced by 33%?
3. ### calculus

A program in Senegal has been reducing infant mortality at a rate of 11.1% per year. How long will it take for infant mortality to be reduced by 33%?
4. ### calculus

Pretend the program in Senegal had been reducing infant mortality at a rate of 12.5 % per year. How long would it take for infant mortality to be reduced by 38 %?
5. ### calculus

Pretend the program in Senegal had been reducing infant mortality at a rate of 12.5 % per year. How long would it take for infant mortality to be reduced by 38 %?
6. ### math

Pretend the program in Senegal had been reducing infant mortality at a rate of 11 % per year. How long would it take for infant mortality to be reduced by 35 %?
7. ### college

Pretend the program in Senegal had been reducing infant mortality at a rate of 11 % per year. How long would it take for infant mortality to be reduced by 39 %?
8. ### calculus

Pretend the program in Senegal had been reducing infant mortality at a rate of 12.2 % per year. How long would it take for infant mortality to be reduced by 31 %?
9. ### math

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 8.1 % per year. How long will it take for infant …
10. ### Math

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 8 % per year. How long will it take for infant mortality …

More Similar Questions