Selena2345
  • 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
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
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anonymous
  • anonymous
7 days is easy 1+2+4+8+16+32+64
anonymous
  • anonymous
you might notice that this is 127, one less than 2 times 64
anonymous
  • anonymous
you have \(1, 2, 2^2, 2^3, 2^4, ...\)

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More answers

Selena2345
  • Selena2345
Are your answering the question right
anonymous
  • anonymous
in 7 days you will have earned \(2^7-1=\$1.27\)
Selena2345
  • Selena2345
Are your answering the question right
anonymous
  • anonymous
in two weeks you will have \(2^{4}-1\) pennies, a calculator gives \(\$163.83\)
anonymous
  • anonymous
I want that job if I get to work the whole month!
anonymous
  • anonymous
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
Selena2345
  • Selena2345
can u help cliffSedge
Selena2345
  • Selena2345
yes cliffsedge thank you
anonymous
  • anonymous
If you have a calculator, you can try entering '1' then hitting x2 a bunch of times (counting how many times you do so.)
anonymous
  • anonymous
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.
anonymous
  • anonymous
But satellite's formula is a lot quicker. ;-)
Selena2345
  • Selena2345
thank you agent47
Agent47
  • Agent47
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
Agent47
  • Agent47
I think, satellite's made a mistake.. but that's IMPOSSIBRU!
Agent47
  • Agent47
Thus, in 7 days: 2^(7-1)=2^6=64 cents
Agent47
  • Agent47
woah waitttt
Agent47
  • Agent47
That is the amount he earned on the 1st, 2nd, 3rd, 4th, etc days, and on the 7th day he earns 64 cents
Selena2345
  • Selena2345
is the answer to the question finish
Agent47
  • Agent47
Not yet... the formula is: |dw:1347412596200:dw|
anonymous
  • anonymous
actually i gave the total earned on day \(n\) not the amount earned on day \(n\)
Agent47
  • Agent47
ya you're right, i just realized that
Selena2345
  • Selena2345
is the answer to the question finish
anonymous
  • anonymous
on day \(n\) you earn \(2^{n-1}\) pennies, for a total of \(2^n-1\) pennies
Agent47
  • Agent47
ok i see, then that's the final answer... satellite why are u so smart?
Selena2345
  • Selena2345
who's correct satellite or agent47
Agent47
  • Agent47
satellite, obv, who's a level 100 here?
Agent47
  • Agent47
but i did realize my mistake, before satellite pointed it out :P
Selena2345
  • Selena2345
who's correct satellite or agent47

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