anonymous
  • anonymous
Finn bought a yoyo from a company that claims that, with each retraction, the string rolls up by 80% of the original length. He sets up a tape measure and throws the yoyo 3 times. His data are charted below. Throw Length of string (feet) 1 3 2 2.4 3 1.92 Finn wants to find the sum of the length of string after 10 throws. What is the sum of the lengths, rounded to the nearest hundredth?
Mathematics
chestercat
  • chestercat
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

Get this expert

answer on brainly

SEE EXPERT ANSWER

Get your free account and access expert answers to this
and thousands of other questions

anonymous
  • anonymous
13.39 feet 15.00 feet <--my answer 4.46 feet 0.40 feet
mathmate
  • mathmate
With initial length of \(a_1\)=3 feet, and common ratio r= 0.8, the total length of n throws is given by the sum: \(S(n)=a_1(1-r^n)/(1-r)\) For example, after 1 throw, n=1, S(1)=3(1-0.8)/(1-0.8)=3 feet After 2 throws, \(S(2)=3(1-0.8^2)/(1-0.8)=5.4 feet.\) You can then calculate S(10) but putting n=10.
anonymous
  • anonymous
So, wasn't I right then? :)

Looking for something else?

Not the answer you are looking for? Search for more explanations.

More answers

zepdrix
  • zepdrix
The example mathmate gave,\[\large\rm S_2=3\cdot\frac{1-(0.8)^2}{1-0}\]As was mentioned though, we want the sum of the first 10,\[\large\rm S_{10}=3\cdot\frac{1-(0.8)^{10}}{1-0.8}\]So ummmm, yes maybe you are right :o But our your calculator.
zepdrix
  • zepdrix
blah typos... bust out your calculator*
anonymous
  • anonymous
2.092 is what I got :)
anonymous
  • anonymous
zepdrix
  • zepdrix
Hmm you shouldn't get less than 3 -_-
zepdrix
  • zepdrix
\[\large\rm S_{10}=3*((1-.8\wedge(10))\div(1-.8))\]
anonymous
  • anonymous
ok :) Hold on.
anonymous
  • anonymous
That's so weird! Now I got 2.077?? My calculator must be broken..
anonymous
  • anonymous
Ok, so for the first part I got 3.32212255
anonymous
  • anonymous
Then 1.25 for the second part
zepdrix
  • zepdrix
uhhhhh 0_o
zepdrix
  • zepdrix
(1-.8^(10))/(1-.8) = 4.463129... And then multiply by 3. I dunno what you're doing there :d weird
anonymous
  • anonymous
13.389 :)
anonymous
  • anonymous
Thanks<3!!!

Looking for something else?

Not the answer you are looking for? Search for more explanations.