A merry-go-round rotates at the rate of 0.14 rev/s with an 87 kg man standing at a point 2 m from the axis of rotation. What is the new angular speed when the man walks to a point 0 m from the center? Consider the merry-go-round is a solid 74 kg cylinder of radius of 2 m.

When interest is compounded continuously, the amount of money increases at a rate proportional to the amount s present at time t, that is, ds/dt = rs, where r is the annual rate of interest. (a) find the amount of money accrued at the end of 3 years when $4000 is deposited in a savings account drawing 5 3 4 % annual interest compounded continuously. (round your answer to the nearest cent.) $ (b) in how many years will the initial sum deposited have doubled? (round your answer to the nearest year.) years (c) use a calculator to compare the amount obtained in part (a) with the amount s = 4000 1 + 1 4 (0.0575) 3(4) that is accrued when interest is compounded quarterly. (round your answer to the nearest cent.) s = $

Match the given situations to the type of risks that a business may face while taking credit.(there's not just one answer)1. beta ltd. had taken a loan from a bankfor a period of 15 years, but its salesare gradually showing a decline.2. alpha ltd. has taken a loan for increasing its production and sales,but it has not conducted any researchbefore making this decision.3. delphi ltd. has an overseas client. the economy of the client’s country is going through severe recession.4. delphi ltd. has taken a short-term loanfrom the bank, but its supply chain logistics are not in place.a. foreign exchange riskb. operational riskc. term of loan riskd. revenue projections risk

Universal containers(us) has an integration with its accounting system that creates tens of thousands of orders inside salesforce in a nightly batch. us wants to add automation that can attempt to match leads and contacts to these orders using the email address field on the insert. us is concerned about the performance of the automation with a large data volume. which tool should uc use to automate this process?