in sub-Saharan African an estimated 28.5 million people are infected with AIDS. Unfortunately that number is rising. and it is e
1 answer:
Answer:
About 28,671,342 people
Step-by-step explanation:
This is compound growth problem. This goes by the formula:
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:
So, around 28,671,342 people will be infected in 3 years.
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PART A
The geometric sequence is defined by the equation
To find the first three terms, we put n=1,2,3
When n=1,
When n=2,
When n=3
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PART B
The common ratio can be found using any two consecutive terms.
The common ratio is given by,
PART C
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We substitute n=11 into the equation of the geometric sequence.
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The geometric sequence is defined by the equation
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When n=1,
When n=2,
When n=3
The first three terms are,
PART B
The common ratio can be found using any two consecutive terms.
The common ratio is given by,
PART C
To find
We substitute n=11 into the equation of the geometric sequence.
This implies that,