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Selena2345
 2 years ago
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
Selena2345
 2 years ago
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

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ChristineToTheRescue
 2 years ago
Best ResponseYou've already chosen the best response.0Um, I'm not so sure how to put this in an equation...

Selena2345
 2 years ago
Best ResponseYou've already chosen the best response.0it is not an equation

ChristineToTheRescue
 2 years ago
Best ResponseYou've already chosen the best response.0But, you can estimate obviously that it's about 70

ChristineToTheRescue
 2 years ago
Best ResponseYou've already chosen the best response.0You need an esquation to solve this...i think

ChristineToTheRescue
 2 years ago
Best ResponseYou've already chosen the best response.0Imma work this out first. (:

ChristineToTheRescue
 2 years ago
Best ResponseYou've already chosen the best response.0We see that the series whose sum gives the total number of cents follows a regular pattern: each new term added to it is a power of two. This is an example of a geometric series.

ChristineToTheRescue
 2 years ago
Best ResponseYou've already chosen the best response.0In our case, we are told that the number of cents given each day is double the number given the day before, which suggests that the ratio of this series is 2.

ChristineToTheRescue
 2 years ago
Best ResponseYou've already chosen the best response.0no. pennies given on second day 2  = 2 no. pennies given on first day 1 no. pennies given on third day 4  = 2 no. pennies given on second day 2 no. pennies given on fourth day 8  = 2 no. pennies given on third day 4

ChristineToTheRescue
 2 years ago
Best ResponseYou've already chosen the best response.0obviously, the ratio of the geometric series that gives the total number of cents on a particular day is 2.

ChristineToTheRescue
 2 years ago
Best ResponseYou've already chosen the best response.0we can use the fact that the sum of a geometric series (called S) with n terms whose ratio is r is this S = (first term)(1r^n)/(1r)

ChristineToTheRescue
 2 years ago
Best ResponseYou've already chosen the best response.0I think... ><'' not very expertise on this but had hw on this like 2 wks ago.

ChristineToTheRescue
 2 years ago
Best ResponseYou've already chosen the best response.0This means that for our series with a first term of 1 and a ratio of 2, we find the sum after n days = 1(1  2^n) / (1  2) =  (1  2^n) = 2^n  1

Selena2345
 2 years ago
Best ResponseYou've already chosen the best response.0are we done with the question christine

xcrypt
 2 years ago
Best ResponseYou've already chosen the best response.0The equation would be: 2^x1, where x represents the day. substitute 7 for x and you have your answer

ChristineToTheRescue
 2 years ago
Best ResponseYou've already chosen the best response.01 2^11 = 21 = 1 2 2^21 = 41 = 3 3 2^31 = 81 = 7 4 2^41 = 161 = 15

ChristineToTheRescue
 2 years ago
Best ResponseYou've already chosen the best response.0there you go x3

ChristineToTheRescue
 2 years ago
Best ResponseYou've already chosen the best response.0So...basically do the same for each day doubling it

Selena2345
 2 years ago
Best ResponseYou've already chosen the best response.0is the question whole finish

ChristineToTheRescue
 2 years ago
Best ResponseYou've already chosen the best response.05 2^51 = 181 = 17 and so forth

Selena2345
 2 years ago
Best ResponseYou've already chosen the best response.0is the answer finish now christine
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