March 1st., $16.00 on April 1st., and so on... How much would you save in one year? Please explain how you got your final answer, and show your work PLEASE!!! THANK-YOU so much!!!
2007-03-11 06:41:01 · 8 answers · asked by concreteangel_66 1 in Science & Mathematics ➔ Mathematics
2 + 4 + 8 + 16 + 32 + 64 + 128 + 256 + 512 + 1024 + 2048 + 4096
That is equal to 8192 - 2 or 8190
2007-03-11 06:46:09 · answer #1 · answered by Barkley Hound 7 · 0⤊ 0⤋
Here is some interactive Python code:
>>> months = range(1,13)
>>> months
[1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12]
>>> sum = 0
>>> for m in months:
... sum += 2**m
...
>>> sum
8190
2007-03-11 06:49:31 · answer #2 · answered by poorcocoboiboi 6 · 1⤊ 0⤋
Starting with January as 2^1, you would continue until you go to December and 2^12
2,4,8,16,32,64,128,256,512,1024,2048,4096 and add together those 12 numbers to get the total of $ 8190
2007-03-11 06:58:36 · answer #3 · answered by Dave aka Spider Monkey 7 · 0⤊ 0⤋
The savings each month form a Geometric progression with the first term being 'a=2' and a common factor 'r=2'.
Sum of n terms of a GP = [a(1-r^(n=1))]/(1-r)
Here, Total savings = Sum of 12 terms of given GP
= [2(1 - 2^12)]/(1 - 2) = $ 8190
2007-03-11 06:43:16 · answer #4 · answered by Nimish A 3 · 0⤊ 2⤋
I doubled 2 for the second month, then 4 for the 3 and so on until you get to the 12th month (8192.00). I then added them all up and got the answer and so will you... Good Luck
2007-03-11 06:51:52 · answer #5 · answered by shell7024 3 · 0⤊ 0⤋
26622 dollars--you obv double each amount each month and if u keep doing that all of the way until december then add them all that is what you will get :)
2007-03-11 06:51:48 · answer #6 · answered by Karen B 1 · 0⤊ 0⤋
1,2,4,8,16,32,64,128,256,512,1024,2028
keep doubling the number like that
u will find ur answer
hope that helps
2007-03-11 06:45:29 · answer #7 · answered by whay i lost my ?s 6 · 0⤊ 0⤋
ur ans. is april
2007-03-11 06:45:31 · answer #8 · answered by woodzy 1 · 0⤊ 1⤋