Determine the radius of convergence of the following power series. then test the endpoints to determine the interval of convergence.

σ(21x)^k

the radius of convergence is r =

a. the interval of convergence is {x: x= }
b. the interval of convergence is:

Iam trying to solve a linear equation for the shoe size of someone 84" tall taking into consideration example 1 is 69" tall with a shoe size of 9 and example 2 is 72 inches tall with a shoe size of 11. i understand that the equation should be y=mx+b and that on the graph the answer is (3,2) but i just don't understand how to create the equation to solve for 84-inches and 60-inches tall questions. after two days, i need .

Agreeting card company can produce a box of cards for $7.50. if the initial investment by the company was $50,000, how many boxes of cards must be produced before the average cost per box falls to $10.50?

What is the simplified form of (3.25x10^3)(7.8x10^6) written in scientific notation?