Stuart's bank account had a balance of - $50.42 last month. This month he won a cash prize of $76.64 for winning a competition. How much money does Stuart have at the end of this month, if there are no other transactions?

(a) (8%) compute the probability of an even integer among the 100 integers 1! , 2! , 3! , until 100! (here n! is n factorial or n*(n-1)*(n-2) *… 1) (b) (16%) compute the probability of an even integer among the 100 integers: 1, 1+2, 1+2+3, 1+2+3+4, …., 1+2+3+… + 99, and 1+2+3+… + 100

Find the amount in a continuously compounded account for the given condition. principal: $1000, annual interest rate: 4.8%, time: 2 yr

The two square pyramids are similar. find the total volume of both pyramids if the ratio of their surface areas is 9/16