The formula for the sum of an infinite geometric series, S = StartFraction a 1 Over 1 minus r EndFraction, may be used to convert 0. ModifyingAbove 2 3 with bar to a fraction. What are the values of a 1 and r?

Explanation:

The question is incomplete and contains typing mistakes.

The correct question is:

The formula for the sum of an infinite geometric series,

             ,

may be used to convert (the the small line over 23 is used to indicate periodicity) to a fraction.

What are the values of and ?

Note that the number is equivalent to:

Where the first term is 23/100 and the following is obtained multiplying the previous term by 1/100.

Thus, that is a geometric series with

Now, use the formula to confirm:

Use a calculator to verify that 23/99 = 0.232323 . . .

i think it would be 43 movies that would have to be watched.

step-by-step explanation:

think about it. for the second plan, every month is 8 dollars. 8 x 12= 96. so thats the number for the second plan. now for the first plan, its annual meaning you have to pay 10 dollars every year. so now you have to get an equivalent amount of 86 since 96-10=86. 86 divided by 2 since every movie costs 2$ then you would have to watch 43 movies a year to get the same as the second plan. i really hoped this . have a wonderful day as well!

126.66 m²

step-by-step explanation:

the pertinent area formula is a = πr², where r is the radius.

here, a = π(6.35 m)² = 40.32π, or approximately 126.66 m²