Suppose you are given a set of small boxes, numbered 1 to n, identical in every respect except that each of the first i contain a pearl whereas the remaining n − i are empty. you also have two magic wands that can each test whether a box is empty or not in a single touch, except that a wand disappears if you test it on an empty box. show that, without knowing the value of i, you can use the two wands to determine all the boxes containing pearls using at most o(n) wand touches. express, as a function of n, the asymptotic number of wand touches needed

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