Question 2 christine and her husband are each starting a saving plan. christine will initially set $50 aside and then add $50.85 every week to the savings. the amount a (in dollars) saved this way is given by the function a=50+50.85n , where n is the number of weeks she has been saving. her husband will not set an initial amount aside but will add to the savings every week. the amount (in dollars) saved using this plan is given by the function . let t be total amount (in dollars) saved using both plans combined. write an equation relating t to n. simplify your answer as much as possible.

Suppose we have a set of small wooden blocks showing the 26 letters of the english alphabet, one letter per block. (think of scrabble tiles.) our set includes 10 copies of each letter. we place them into a bag and draw out one block at a time. (a) if we line up the letters on a rack as we draw them, how different ways coukl we fill a rack of 5 letters? (b) now suppose we just toss our chosen blocks into a pile, and whenever we draw a letter we already have, we put it back in the bag and draw again. how many different piles of 5 blocks could result? possible? piles will contain at least one repeated letter? (c) if we draw out 5 blocks wit hout looking at them, how many different piles are (d) if we draw out 5 blocks without looking at them, how many of the possible 2. (4) consider the following formula. 12 give two different proofs, one using the factorial formulas and the other combina torial.