Elijah estimates that 80% of the email he receives could be classified as junk. To predict how many junk mail messages he might
receive out of the next 50 emails, he places 8 red and 2 blue marbles in a bag. He draws one marble at random from the bag and records its color before replacing it. He records the following results. BR RR RIRIR RR B BRRRR RR RBR RRB BR How can Elljah use the results of his simulation to predict the number of junk mail messages he will receive in the next 50 mails?
PLZ HELP
PLZ HELP
2 answers:
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It would take 26 years.
The equation will be in the form y = a(1+r)ˣ, where a is the initial population, r is the growth rate as a decimal number, and x is the amount of time. Using our information we have
y = 18450(1+0.027)ˣ = 18450(1.027)ˣ
We want the population to be doubled; 18450*2 = 36900:
36900 = 18450(1.027)ˣ
Divide both sides by 18450:
36900/18450 = 18450(1.027)ˣ/18450
2 = 1.027ˣ
Using logarithms, we have
The equation will be in the form y = a(1+r)ˣ, where a is the initial population, r is the growth rate as a decimal number, and x is the amount of time. Using our information we have
y = 18450(1+0.027)ˣ = 18450(1.027)ˣ
We want the population to be doubled; 18450*2 = 36900:
36900 = 18450(1.027)ˣ
Divide both sides by 18450:
36900/18450 = 18450(1.027)ˣ/18450
2 = 1.027ˣ
Using logarithms, we have