Define a sequence $a_n$ as follows: for each positive integer $n$, set $a_n$ equal to the remainder of $n^n$ when it is divided by 101. what is the smallest positive integer $d$ such that $a_n = a_{n+d}$ for all $n$?

Which is a reasonable estimate of the amount of water in a small, inflatable pool used by children?

Francisco's credit card has an apr of 28.98%, calculated on the previous monthly balance. his credit card record for the last 7 months is shown in the table below francisco is trying to figure out what this all means. answer the following questions: what is the total amount that francisco has paid in interest over the 7 months? what is the total amount that francisco has made in payments over the 7 months? how much of francisco's payments have gone to paying down the principal on his account? what is francisco's new balance at the end of month 8? what will francisco be charged for interest for month 8?

Felix wrote several equations and determined that only one of the equations has no solution. which of these equations has no solution?