Question

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

Answer 1

7 days is easy
1+2+4+8+16+32+64

Answer 2

you might notice that this is 127, one less than 2 times 64

Answer 3

you have \(1, 2, 2^2, 2^3, 2^4, ...\)

Answer 4

Are your answering the question right

Answer 5

in 7 days you will have earned \(2^7-1=\$1.27\)

Answer 6

Are your answering the question right

Answer 7

in two weeks you will have \(2^{4}-1\) pennies, a calculator gives \(\$163.83\)

Answer 8

I want that job if I get to work the whole month!

Answer 9

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

Answer 10

can u help cliffSedge

Answer 11

yes cliffsedge thank you

Answer 12

If you have a calculator, you can try entering '1' then hitting x2 a bunch of times (counting how many times you do so.)

Answer 13

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.

Answer 14

But satellite's formula is a lot quicker. ;-)

Answer 15

thank you agent47

Answer 16

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

Answer 17

I think, satellite's made a mistake.. but that's IMPOSSIBRU!

Answer 18

Thus, in 7 days:
2^(7-1)=2^6=64 cents

Answer 19

woah waitttt

Answer 20

That is the amount he earned on the 1st, 2nd, 3rd, 4th, etc days, and on the 7th day he earns 64 cents

Answer 21

is the answer to the question finish

Answer 22

Not yet... the formula is: