pharmacy has determined that a healthy person should receive 70 units of proteins, 100 units of carbohydrates and 20 units of fat daily. If the store carries the six types of health food with their ingredients as shown in the table below, what blend of foods satisfies the requirements at minimum cost to the pharmacy? Make a mathematical model for the given problem.

Jennifer purchased a house in a brand new development in the outskirts of town. when her house was built, the nearest fire department was nearly 20 miles away. as her neighborhood developed, the density of the community called for a new fire department 1.5 miles away. what effect will the new fire station have on her homeowners insurance premium? a. a new fire department will be more demanding on local taxes. her annual premium will go up. b. the location of a fire department has no bearing on the value of her house. her annual premium will stay the same. c. the new fire department will reduce the risk of financial loss in her home. her annual premium should decrease. d. with a fire department so close (less than 5 miles), financial risk on jennifer’s home practically disappears. she will not need to pay insurance anymore.

You want to have $80,000 in your savings account 11 years from now, and you’re prepared to make equal annual deposits into the account at the end of each year. if the account pays 6.30 percent interest, what amount must you deposit each year? (do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.)

Ichelle is attending college and has a part-time job. once she finishes college, michelle would like to relocate to a metropolitan area. she wants to build her savings so that she will have a "nest egg" to start her off. michelle works out her budget and decides she can afford to set aside $9090 per month for savings. her bank will pay her 4 %4% per year, compounded monthly, on her savings account. what will be michelle's balance in five years?