You have $50,000 in savings for retirement in an investment earning 11% annually. You aspire to have $1,000,000 in savings when you retire. Assuming you add no more to your savings, how many years will it take to reach your goal? Please round your answer to the nearest hundredth.

Note that the HP 12c financial calculator rounds up the periods result to the next integer and will not give the correct answer to the nearest hundredth. Therefore, you should use Excel or a financial calculator that does provide decimal precision to the number of periods.

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?