Homework Help: Math

Posted by Natalie on Monday, August 21, 2006 at 6:49pm.

A goblin miner earns 1 cent the first day, 2 cents the second day, 4 cents the third day, 8 cents the fourth day. How much will the miner earn in 30 days?
Ok--I know to double the answer each time until 30--which would be:5,368,709.12
Is there an equation to make this easier?
Thanks

Sort of. Notice that on the nth day, the amount of money that day is 2^(n-1 ) Then notice the amount of money made to date (look at the above figures) is 2^(n-1) -1.

So the total the miner earns in thirty days...

2^29 + 2^29 -1= 2^30 -1 cents.

check that for n= 4, and n=5

Thank you!

No one has answered this question yet.

Answer this Question

Related Questions

math - On first day you receive 1 cent on the second day 2 cents on the third ...
Math - Bill earns 1 dime the first day, 2 dimes the second day, 3 dimes the ...
math - Imagine that I am hiring you to work for me for the next month (30 days...
algebra 2 - A rental car agency charges $13 per day plus 12 cents per mile to ...
math - Car rental agency A charges $50 per day plus 10 cents per mile driven. ...
math - Car rental agency A charges $50 per day plus 10 cents per mile driven. ...
2nd grade Math - Wich 3 flowers add up to 85 cents? Tulip-48 cents Rose-52 cents...
math - Gino just opened a pizza restaurant. He had 1 customer the first day, 3 ...
Math - Cari Bean was on her way to the islands in her yachet. Because of the ...
math - A truck can be rented from basic rental for $50 a day. in addition you ...

For Further Reading

First Name:
School Subject:
Answer: