Avending machine dispensing books of stamps accepts only one-dollar coins, $1 bills, and $5 bills. a) find a recurrence relation for the number of ways to deposit n dollars in the vending machine, where the order in which the coins and bills are deposited matters. b) what are the initial conditions? c) how many ways are there to deposit $10 for a book of stamps?

On january 1, vermont corporation had 40,000 shares of $10 par value common stock issued and outstanding. all 40,000 shares has been issued in a prior period at $20.00 per share. on february 1, vermont purchased 3,750 shares of treasury stock for $24 per share and later sold the treasury shares for $21 per share on march 1. the journal entry to record the purchase of the treasury shares on february 1 would include a credit to treasury stock for $90,000 debit to treasury stock for $90,000 credit to a gain account for $112,500 debit to a loss account for $112,500

Calculate the cost of each capital component—in other words, the after-tax cost of debt, the cost of preferred stock (including flotation costs), and the cost of equity (ignoring flotation costs). use both the capm method and the dividend growth approach to find the cost of equity.calculate the cost of new stock using the dividend growth approach.what is the cost of new common stock based on the capm? (hint: find the difference between re and rs as determined by the dividend growth approach and then add that difference to the capm value for rs.)assuming that gao will not issue new equity and will continue to use the same target capital structure, what is the company’s wacc? e. suppose gao is evaluating three projects with the following characteristics.each project has a cost of $1 million. they will all be financed using the target mix of long-term debt, preferred stock, and common equity. the cost of the common equity for each project should be based on the beta estimated for the project. all equity will come from reinvested earnings.equity invested in project a would have a beta of 0.5 and an expected return of 9.0%.equity invested in project b would have a beta of 1.0 and an expected return of 10.0%.equity invested in project c would have a beta of 2.0 and an expected return of 11.0%.analyze the company’s situation, and explain why each project should be accepted or rejected g

Explain whether each of the following events increases, decreases, or has no effect on the unemployment rate and the labor-force participation rate.a. after a long search, jon finds a job.b. tyrion, a full-time college student, graduates and is immediately employed.c. after an unsuccessful job search, arya gives up looking and retires.d. daenerys quits her job to become a stay-at-home mom.e. sansa has a birthday, becomes an adult, but has no interest in working.f. jaime has a birthday, becomes an adult, and starts looking for a job.g. cersei dies while enjoying retirement.h. jorah dies working long hours at the office.