You just realized that you are disposing 800 L/year of water to the city sewer that has 0.5 wt% gold particles. A design engineer tells you that you can separate out all the gold particles with a highspeed centrifuge with 0.3 m diameter. If you purchase a centrifuge to separate the gold and sell it, the centrifuge will last 7 years. Alternatively, someone offers a 12-year contract to pay you $100/L for the untreated water. If you assume a prevailing interest rate of 4%, compounded annually, which option should you choose

In the fall, jay thompson decided to live in a university dormitory. he signed a dorm contract under which he was obligated to pay the room rent for the full college year. one clause stated that if he moved out during the year, he could sell his dorm contract to another student who would move into the dormitory as his replacement. the dorm cost was $5000 for the two semesters, which jay had already paid a month after he moved into the dorm, he decided he would prefer to live in an apartment. that week, after some searching for a replacement to fulfill his dorm contract, jay had two offers. one student offered to move in immediately and to pay jay $300 per month for the eight remaining months of the school year. a second student offered to move in the second semester and pay $2500 to jay. jay estimates his food cost per month is $500 if he lives in the dorm and $450 if he lives in an apartment with three other students. his share of the apartment rent and utilities will be $404 per month. assume each semester is 4.5 months long. disregard the small differences in the timing of the disbursements or receipts. what is the cost of the cheapest alternative?

Trey morgan is an employee who is paid monthly. for the month of january of the current year, he earned a total of $4,538. the fica tax for social security is 6.2% of the first $118,500 earned each calendar year, and the fica tax rate for medicare is 1.45% of all earnings for both the employee and the employer. the amount of federal income tax withheld from his earnings was $680.70. his net pay for the month is .

Only the united states has embassies. true or false