Question

My brother told me he will give me $.25 per day for 10 days OR he will give me $.01 then give me double the following day for 10 days. Which one is a better deal?

How much money will I get at the end of 10 days if I accept the .25 per day?

How much money will I get at the end of the day if I accept the .01 then double the following day?

Answer 1

you will get more money if he gives you 1 cent per day then doubles it

Explanation:

if your brother gives you 25 cents per day, at the end of 10 days you will have $2.50

if he gives you 1 cent per day then doubles it, this will be your daily earnings:

day 1- 0.01

day 2- 0.02

day 3- 0.04

day 4- 0.08

day 5- 0.16

day 6- 0.32

day 7- 0.64

day 8- 1.28

day 9- 2.56

day 10- 5.12

then when you add all of this up, you would recieve 10.23 cents at the end of day 10