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anonymous
 one year ago
Christina bought a yoyo from a company that claims that, with each retraction, the string rolls up by 70% of the original length. She sets up a tape measure and throws the yoyo 3 times. Her data are charted below.
Throw Length of string (feet)
1 3
2 2.1
3 1.47
Christina 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?
anonymous
 one year ago
Christina bought a yoyo from a company that claims that, with each retraction, the string rolls up by 70% of the original length. She sets up a tape measure and throws the yoyo 3 times. Her data are charted below. Throw Length of string (feet) 1 3 2 2.1 3 1.47 Christina 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?

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tkhunny
 one year ago
Best ResponseYou've already chosen the best response.11) Does70% prove to be correct? 2) Break out your best Geometric Series sum formula.

tkhunny
 one year ago
Best ResponseYou've already chosen the best response.1Well, why not? What's 70% of 3?

tkhunny
 one year ago
Best ResponseYou've already chosen the best response.1Okay, you now have 10 throws to throw. 3 + 3*.7 + 3*.7^2 +...+ 3*.7^9 Is that 10 throws? You have to believe.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0I believe ...!! praise the LAWD

tkhunny
 one year ago
Best ResponseYou've already chosen the best response.1Add them up: \(\dfrac{3  3*0.7^{10}}{10.7}\) This should be looking somewhat familiar.

ckaranja
 29 days ago
Best ResponseYou've already chosen the best response.0This is a geometric series that follows a decreasing order. He simply should use \[ar^{n1}\] In this case a=3, r=\[\frac{ 2.1 }{ 3 }\] and n=10 So, \[(3*\frac{ 2.1 }{ 3})^{9}\]

tkhunny
 29 days ago
Best ResponseYou've already chosen the best response.1@ckaranja Except that you probably should reread the problem statement.
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