SOLUTION: Please help me solve this problem:
Joe decided to start a penny collection. He starts his collection with one penny on the first day, then two pennies on the second day, then
Algebra.Com
Question 1041582: Please help me solve this problem:
Joe decided to start a penny collection. He starts his collection with one penny on the first day, then two pennies on the second day, then four pennies on the third day, and then eight pennies on the fourth day.
Assume this pattern continues and determine the total size of Joe's penny collection on the 15th day.
Fill in the Blank:
If Joe continues with this pattern, he will have _____ pennies on the 15th day.
Found 2 solutions by Alan3354, solver91311:
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
Joe decided to start a penny collection. He starts his collection with one penny on the first day, then two pennies on the second day, then four pennies on the third day, and then eight pennies on the fourth day.
Assume this pattern continues and determine the total size of Joe's penny collection on the 15th day.
---------
Use days 0 to 14:
Day 0 - 1
Day 1 - 2
day 2 - 4
.
.
.
Day 14 - 16384 (2^14)
=======================
Add them --> 2^15 - 1
= 32767 pennies.
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
The number of objects collected starting with 1 on the first day and doubling each day thereafter for a total of 
days is given by:
So at the end of 15 days, he will have 
pennies.
And, if he were able to keep up the pace for the entire 30 day month, he would have saved up a tidy nest egg of $10,737,418.23.
John
My calculator said it, I believe it, that settles it
RELATED QUESTIONS
I have a word problem that I'm trying to help my child with. I have the answer, but... (answered by mananth)
Joe has a collection of nickels and quarters that is worth $7.40. If the number of... (answered by drcole,mucklef)
Please Help me with a homework problem.
During one year, the kostamos' real estate... (answered by rfer)
students arrieve for the first day of school and meet in the gym, they find 300 pennies... (answered by richard1234)
I need some help with this word problem, setting it up to solve. Thanks.
Joe has a... (answered by vleith,solver91311)
murtha has decided to start a pebble collection. she collects one pebble the first day... (answered by stanbon,ikleyn)
Consider the following problem: You stop on the street between errands to engage in a... (answered by lynnlo)
A collection is made of ten new penny pieces and five new penny pieces. There are 25 more (answered by indra89811)
Hello, having some problems with this section, please help.
Tyrone pays $5 for a... (answered by stanbon)