Astate vector x x for a four-state markov chain is such that the system is four times as likely to be in state 2 as in 4, is not in state 3, and is in state 1 with probability 0.2. find the state vector x. how do i solve this?

1. preform the indicated operation. then estimate to see whether the proposed result is reasonable. 811.1 - 8.039 803.071 803.061 803.161 831.061 2. the ordered pair (1, 2) lies in which quadrant? quadrant ii quadrant iv quadrant iii quadrant i 3. sean tries to drink 3 liters of water every day how my millimeters of water does he drink in a day? 0.3 ml 0.003 ml 3,000 ml 30 ml 4. find the least common multiple. (lcm). 10, 36 5 180 20 360

If tan2a=cot(a+60), find the value of a, where 2a is an acute angle

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