Asked by Krista
What is the better deal? Earning $1000 a day for the rest of your life or earning $.01 the first day and doubling it every day for the rest of yor life. How do you know?
Answers
Answered by
Reiny
depends how long you live
Suppose you work for 30 years
= 10950 days, ( you work 7 days a week, every day even Christmas)
amount earned = 10950(1000) = 10, 950,000 , not bad
amount of second plan
you have a geometric sequence
where a = .01, r = 2, n = 10950
amount = .01( 2^10950 - 1)/(2-1)= too big for my calculator
apprimation
let x = 2^10950
logx = 10950(log2) = appr 3296
x = 10^3296
amount = .01(10^3296) = 10^3294
which is a number like
10000.....00 , for 3294 zeros
They should have specified a more realistic and shorter time period.
It is estimated that there 10^18 grains of sand on earth
If the entire universe were filled with sand, it would be less than 10^3294
Suppose you work for 30 years
= 10950 days, ( you work 7 days a week, every day even Christmas)
amount earned = 10950(1000) = 10, 950,000 , not bad
amount of second plan
you have a geometric sequence
where a = .01, r = 2, n = 10950
amount = .01( 2^10950 - 1)/(2-1)= too big for my calculator
apprimation
let x = 2^10950
logx = 10950(log2) = appr 3296
x = 10^3296
amount = .01(10^3296) = 10^3294
which is a number like
10000.....00 , for 3294 zeros
They should have specified a more realistic and shorter time period.
It is estimated that there 10^18 grains of sand on earth
If the entire universe were filled with sand, it would be less than 10^3294
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