kindly solve all these questions

The operating and maintenance costs of a public park are estimated to be $9,000 at the beginning of each year, based on the purchasing power of a dollar at the present. The MARR is 16% compounded annually. If inflation is expected to be 6% per year and the park is to be in existence in perpetuity, how much would a philanthropist have to deposit at the present to assure that all these costs can be paid? a. Solve using constant-dollar analysis. b. Solve using the geometric-gradient factor A woman is considering giving an endowment to a university in order to provide payments of $5,000, $4,000, $3,000, and $2,000, respectively, at the end of the first, second, third, and fourth quarters during a year. If the interest rate is 8% compounded quarterly, what is the capitalized equivalent that must be deposited now so that the quarterly payments can be repeated forever? Answer: $176, 235 By depositing $2,000 at the present, an individual wishes to generate a series of annual amounts that begin with $100 one year from the present and grow at the rate of 10% per year. If this series continues forever, what interest rate is being earned on the deposit? Answer: 15% A firm requires power shovels for its open-pit mining operation. This mining equipment, with a first cost of $500,000, has an estimated salvage value of $70,000 at the end of 10 years' service. If the firm uses a rate of interest of 16% for the project evaluation, how much must be earned on an equivalent annual basis so that the firm recovers its invested capital plus earns a return on the capital committed to the equipment during its lifetime? A company can invest in one of two mutually exclusive alternatives. The life of each alternative is estimated to be 5 years, with the following initial investments and salvage values. Assume that the rate of interest is 17%