Jessa bought a yoyo from a company that claims that, with each retraction, the string rolls up by 60% 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 1.8 3 1.08 jessa 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?

The sum is 7.45

Step-by-step explanation:

Every time she throws a yoyo, the new length is 60% of the original, so we can calculate the length of the yoyo in the n throw as:

Then, the sum of the n terms is a geometric serie because every term has the form:

Where a is equal to 3, r is equal to 0.6 and n goes from 1 to 10

Therefore, the sum of the n terms can be calculated as:

So, the sum of the length of string after 10 throws is:

21/58.

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351°f

step-by-step explanation: