Suppose that a company needs new equipment, and that the machinery in question earns the company revenue at a continuous rate of 54000t 38000 dollars per year during the first six months of operation, and at the continuous rate of $65000 per year after the first six months. The cost of the machine is $140000. The interest rate is 5.75% per year, compounded continuously. a) Find the present value of the revenue earned by the machine during the first year of operation.
b) Determine how long it will take for the machine to pay for itself; that is, how long until the present value of the revenue is equal to the cost of the machine.

When consumers discard their gasoline-powered automobiles for electric-powered ones, this partially reflects the of gasoline?

Select the statement that indicates tina's company is a partnership. tina jones is a dancer specializing in latin dance styles. she always wanted to have her own dance studio where she could teach dancing to young and old alike. in 2006, she opened her first dance studio, electric diva, in madison triangle. it was a great choice as a business location because it's well-connected by highways to most places in the city. she leased the space for three years. her initial investment included a good sound system, cheerful interior design, and strong flooring. to raise capital for the business, tina turned to her brother-in-law, philip. philip made half the financial investment. he manages the accounts and social media needs of the business. he has a 30% share in trisha's business. together, they expanded the business to three dance studios in the city and plan to open franchises in other cities.

Jewelry manufacturers produce a range of products such as rings, necklaces, bracelets, and brooches. what fundamental economic question are they addressing by offering this range of items?