In a recent fundraising campaign, rise over run received 20 checks of various amounts to donate to their favorite charities. olive uses this spinner to determine which charity will receive each check. about how many of the 20 checks should arise over run expect to go to their treehuggers campaign ?

What is the value of the expression below? (81^2)^1/8

Hillel is juggling flaming torches to raise money for charity. his initial appearance raises $500\$500 $500 , and he raises $15\$15 $15 for each minute of juggling performance. the amount rr r of money hillel raises is a function of tt t , the length of his performance in minutes. write the function's formula.

Use the ratio test to determine whether ∑n=14∞n+2n! converges or diverges. (a) find the ratio of successive terms. write your answer as a fully simplified fraction. for n≥14, limn→∞∣∣∣an+1an∣∣∣=limn→∞.