Here's the question you clicked on:
Selena2345
A Goblin Miner earns 1 cent the first day, 2 cents the second day 4 cents the third day, 8 cents the fourth day and so on doubling the amount each day. How much will the miner earn in 7 days ? 2 Weeks? 1 Month ( Make An Estimate Before Solving) Show/ Explain All Work
7 days is easy 1+2+4+8+16+32+64
you might notice that this is 127, one less than 2 times 64
you have \(1, 2, 2^2, 2^3, 2^4, ...\)
Are your answering the question right
in 7 days you will have earned \(2^7-1=\$1.27\)
Are your answering the question right
in two weeks you will have \(2^{4}-1\) pennies, a calculator gives \(\$163.83\)
I want that job if I get to work the whole month!
me too in one month of 31 days you will have made \(2^{31}-1\) pennies, more money than i will earn in several life times
can u help cliffSedge
yes cliffsedge thank you
If you have a calculator, you can try entering '1' then hitting x2 a bunch of times (counting how many times you do so.)
Of course, that will only get you the per day earnings. You'll have to add up all the previous days' to get the total.
But satellite's formula is a lot quicker. ;-)
Let x be the amt u earn per day... Then, in 1 day: 1cent = 2^0 cents 2 days: 2 cents = 2^1 cents 3 days: 4 cents = 2^2 cents 4 days: 8 cents = 2^3 cents... So, in n days, you get 2^(n-1) cents
I think, satellite's made a mistake.. but that's IMPOSSIBRU!
Thus, in 7 days: 2^(7-1)=2^6=64 cents
That is the amount he earned on the 1st, 2nd, 3rd, 4th, etc days, and on the 7th day he earns 64 cents
is the answer to the question finish
Not yet... the formula is: |dw:1347412596200:dw|
actually i gave the total earned on day \(n\) not the amount earned on day \(n\)
ya you're right, i just realized that
is the answer to the question finish
on day \(n\) you earn \(2^{n-1}\) pennies, for a total of \(2^n-1\) pennies
ok i see, then that's the final answer... satellite why are u so smart?
who's correct satellite or agent47
satellite, obv, who's a level 100 here?
but i did realize my mistake, before satellite pointed it out :P
who's correct satellite or agent47