Suppose a 5-member council is being formed from among a group of 22 people, each of whom belongs to one of the following 4 houses: baratheon, stark, lannister, and targaryen. in this group of people, 3 are baratheons, 8 are starks, 9 are lannisters, and 2 are targaryens. a. in how many ways can a 5-member council be created from among these 22 people? b. in how many ways can a 5-member council be created from among these 22 people if the council must have exactly 1 baratheon? c. in how many ways can a 5-member council be created from among these 22 people if the council must have at most 3 lannisters? d. in how many ways can a 5-member council be created from among these 22 people if the council must have exactly 1 baratheon and at most 3 lannisters? e. in how many ways can a 5-member council be created from among these 22 people if the council must have exactly 1 baratheon or at most 3 lannisters?

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