A clever girl figured out a great way to catch fish at the local fishing spot. The first day she went fishing, she caught exactly 31416 pounds of fish.
Even though she had more fish than she knew what to do with, she decided to go fishing again the next day. And she caught exactly 40% of what she caught the day before. Which was still a lot of fish.
She continued fishing every day. And every day she caught exactly 40% of what she caught the previous day.
If she continued fishing every day for twenty years, how many pounds of fish, total, would she catch? Please round to the nearest pound.
2007-05-26 16:22:24 · 15 answers · asked by Anonymous in Education & Reference ➔ Trivia
If I get this right, it could be written as following.
The first day, she caught 31416 pounds of fish. Let's say that x = 31416
The 2nd day, she caught 40% of what she had the first day. She then caught 0.4x
The 3rd day, she caught 40% of what she had the second day. She caught 0.4*0.4x
And so on... so you want to know how many pounds she caught over 20 years. Assuming that a year as 365 days, 20 x 365 = 7300 days.The problem is then:
x + 0.4x + x(0.4)^2 + x(0.4)^3 + x(0.4)^4 + ... + x(0.4)^7300
If you extract x and calculate the fractions you get:
1.666666667x
Which will give you 52360 pounds of fish
2007-05-26 16:39:13 · answer #1 · answered by bambinos757 2 · 1⤊ 1⤋
1
2007-06-03 13:43:13 · answer #2 · answered by Highly Favoured 7 · 0⤊ 0⤋
by the end of 20 years there wouldn't be a fish small enough to catch, there difinatly wouldn't be pounds of them, it's a trick question
2007-06-01 17:58:29 · answer #3 · answered by Anonymous · 1⤊ 1⤋
The answer is 52,360.
The formula is:
a=original amount
r=rate
n=number of periods=20years * 365.25 day/year = 7305 days
a(1-r^n)/(1-r)=total pounds of fish
if we substitute,
31416(1-0.4^7305)/(1-0.4)
as r>1, and r<0, then as n approaches infinity, the value of r^n=0, and the formula effectively becomes a/(1-r)
so, 31416/0.6 = 52,360
2007-05-27 01:42:23 · answer #4 · answered by Cato_I 4 · 1⤊ 1⤋
around 1722
2007-05-30 16:28:01 · answer #5 · answered by Nsth 2 · 1⤊ 1⤋
I donte know the answer to your question.Perhaps I am not so intelligent but the reason Ime responding to your question is that I want to applaud you.It is good to know intelligent females such as you are out there.Good onya.
2007-05-26 16:35:51 · answer #6 · answered by Anonymous · 1⤊ 3⤋
Since it is really far into the decimals i would say 1 am i right?
2007-05-26 16:54:48 · answer #7 · answered by Anonymous · 1⤊ 2⤋
24335 pounnds
2007-06-01 03:13:12 · answer #8 · answered by Questionable Advice 2 · 1⤊ 0⤋
sounds fishy
2007-06-02 12:21:41 · answer #9 · answered by Anonymous · 0⤊ 1⤋
682,181 pounds.
2007-05-26 16:27:47 · answer #10 · answered by LINDA D 2 · 1⤊ 1⤋