Question

in sub-Saharan African an estimated 28.5 million people are infected with AIDS. Unfortunately that number is rising. and it is estimated to grow at a rate of .4% every 2 years. How many people will be infected in 3 years

Answer 1

About 28,671,342 people

Explanation:

This is compound growth problem. This goes by the formula:

`F=P(1+r)^t`

Where

F is the future amount (in 3 years)

P is the present amount (28.5 million)

r is the rate of growth (0.4% = 0.4/100 = 0.004)

t is the time in years (3 years)

We first, need to find the rate of growth annually. It is given 0.4% every 2 years, so in 1 year that would be:

0.4%/2 = 0.2% = 0.002

Now, we put the information into formula and solve:

`F=P(1+r)^t\\F=28500000(1+0.002)^3\\F=28500000(1.002)^3\\F=28,671,342`

So, around 28,671,342 people will be infected in 3 years.