The​ Solomon, Smith, and Samson law firm produces many legal documents that must be word processed for clients and the firm. Requests average pages of documents per​ hour, and they arrive according to a Poisson distribution. The secretary can word process pages per hour on average according to an exponential distribution. a. The average utilization rate of the secretary is ​% utilization. ​
b. The probability that more than four pages are waiting or being word processed is . (Enter your response rounded to three decimalplaces.)
c. The average number of pages waiting to be word processed is pages. (Enter your response rounded to two decimal places.)

The monthly payment m of a loan of amount p for y years with an interest rate r can be calculated by the formula: m = p(r/12) 1 â’ (1 + r/12)â’12y calculate the monthly payment and the cummulative total payment for a $100,000 loan with an interest rate of 4.85% if taken out for 10 years, for 11 years, etc., up to a 30 year term. display the results in a three-column table where the first column is the number of years, the second is the monthly payment, and the third is the cummulative total payment. note: use format bank; for this problem. also, remember to represent the interest rate as a decimal (e.g. 0.0485) 2. a torus-shaped water tube is designed to have a volume of 8, 000in3 . the volume of the tube, v , and its surface area, s, are given by: v = 1 4 ď€ 2 (a + b)(b â’ a) 2 s = ď€ 2 (b 2 â’ a 2 ) if a = kb, determine s, a, and b for k = 0.2, 0.3, 0.7. display the results in a table

Neon light company of kansas city ships lamps and lighting appliances throughout the country. ms. neon has determined that through the establishment of local collection centers around the country, she can speed up the collection of payments by one and one-half days. furthermore, the cash management department of her bank has indicated to her that she can defer her payments on her accounts by one-half day without affecting suppliers. the bank has a remote disbursement center in florida. a. if neon light company has $2.90 million per day in collections and $1.18 million per day in disbursements, how many dollars will the cash management system free up?

Tom has brought $150,000 from his pension to a new job where his employer will match 401(k) contributions dollar for dollar. each year he contributes $3,000. after seven years, how much money would tom have in his 401(k)?