You are making $50,000 investment and feel that a 13 percent rate of return is reasonable given the nature of the risks involved. you feel you will receive at least $8,000 in the first year, $21,000 in the second year, $43,000 in the third year, and potentially could see a cash outflow of $7,000 in the fourth year. what is the net present value of this investment given your expectation?

Which matrix can be multiplied to the left of a vector matrix to get a new vector matrix ?

Aswimming pool has an input pump for filling the pool and an output pump for emptying the pool. the input pump can fill the pool in 3 hours, and the output pump can drain the pool in 5 hours. as you go to bed, the pool is full, but a neighbor’s kid turns on the output pump. at midnight, you awake to find the pool half empty. immediately, you turn on the input pump, but you are sleepy and forget to turn off the output pump. at what time will the pool become full?

Clara schumann is buying bagels for her coworkers, she buys a dozen bagels priced at $5.49 a dozen. the bakery's cost for making the bagels is $2.25 per dozen. what is the markup rate based on selling price on a dozen bagels?