Homework Help: math

Posted by joe on Monday, September 17, 2012 at 10:27pm.

A vampire could have the ability to infect an entire planet if he bit 2 people each day. Those 2 people would bite 2 people the next day, and then all of those vampires would each bite 2 people the next day, and so forth... How would I solve this to find out how many people would be infected in about a month? Is there an equation?

math - Reiny, Monday, September 17, 2012 at 10:42pm
look at the pattern
day 1 -- 2
day 2 --- 4 = 2^2
day 3 -- 8 = 2^3
...

day 10 ---- 2^10
..
day 30 = 2^30 (huge)

number infected = 2 + 4 + 8 + ... + 2^10
this is a geometric series, with a = 2, r = 2
sum = a(r^n-1)/(r-1)
= 2(2^30 - 1)/ (2-1) = appr 2.14 billion

Answer this Question

Related Questions

PHYSICS PLEASE HELP !!!!! - On some planet with a radius of 8,553 km and a mass ...
astronomy - Why is there a argument about Pluto the planet. There's an ...
History - This is what I have so far but I need to add more any ideas would be ...
math - On the 1st day the movie opened 35 people saw it. On the 2nd day 16 more ...
Reading - Which sentence best shows a point of view about population growth? A. ...
Biology - Why do you suppose AIDS has infected people across the entire planet, ...
ELA - What website can I find information on Vampire Survival and Examples From ...
trigonometry - If a planet has a semimajor axis of 2 AU (astronomical units) a...
social - Do poor people have the same expectations in life as rich people&gt...
Math - If 3 people are asked what day of the week they were born, find the ...

For Further Reading

First Name:
School Subject:
Answer: