We are creating a new card game with a new deck. unlike the normal deck that has 13 ranks (ace through king) and 4 suits (hearts, diamonds, spades, and clubs), our deck will be made up of the following. each card will have: i) one rank from 1 to 15. ii) one of 9 different suits. hence, there are 135 cards in the deck with 15 ranks for each of the 9 different suits, and none of the cards will be face cards! so, a card rank 11 would just have an 11 on it. hence, there is no discussion of "royal" anything since there won't be any cards that are "royalty" like king or queen, and no face cards! the game is played by dealing each player 5 cards from the deck. our goal is to determine which hands would beat other hands using probability. obviously the hands that are harder to get (i. e. are more rare) should beat hands that are easier to get. a) how many different ways are there to get any 5 card hand? the number of ways of getting any 5 card hand is

At river bank, checking account customers earn 0.75% interest a month on their account balances, pay no service fees for writing checks, and pay a monthly $2.00 financial charge. calculate the income earned in one month on the checking account for a customer with an account balance of $1,000. a. $4.25 b. $5.50 c. $6.75 d. $7.25 checking account earnings at baker’s bank are expressed by the equation: i = -0.09x + 10.2. while the earnings at elite bank are modeled by: i = -0.02x + 7.5. in both cases, x is the number of checks written. at what number of checks will elite bank start generating more checking account income than baker's bank? a. 12 b. 25 c. 39 d. 42 emilio’s checking account had a balance of 728.32 at the beginning of the week. he wrote checks for the following amounts throughout the week: $99.48, $33.50, $18.23, and $72.05. he also deposited his paycheck in the amount of $1,109.90. what is his account balance at the end of the week? a. $1,192.35 b. $1,222.86 c. $1,540.52 d. $1,614.96