Imagine you are a philanthropist who would like to donate to a charity that provides shelter and assistance to homeless individuals. You would like to donate enough money to the charity to ensure that they can provide shelter for 12 homeless individuals every year in perpetuity. The cost of providing shelter per individual is $60 per day. If your investment fund pays a return of 2% per year, how much do you need to donate to the charity now so that they can provide shelter for 1200 individuals every day in perpetuity? Enter your answer to the nearest cent (two decimal places)

Bradley set up a fund that would pay his family 3500 at the beginning of every month, in perpetuity.What was size of the investment in the fund if it was earning 5.50% compounded semi-annually?

An Allied Health Scholarship fund wants to insure that it can provide $50,000 annually in scholarships forever  How much money would have to be reinvested each year at 8% interest to generate the funds for the scholarships?

3. A village has six residents, each of whom has accumulated savings of $100. Each villager can use this money either to buy a government bond that pays 15% per year. Or they can buy a llama, send it onto the commons to graze and then sell it after one year. The price the villager gets for selling the llama depends on quality of fleece it grows. The quality of fleece depends on how many llamas are grazing. At the end of the year the villager will have $115 if they buy the bond or $109-$122 if they buy the llama depending on how many llamas are purchased Number of Llamas 1 2 3 4 5 6 Price per Llama 122 118 116 114 112 109 a. If each villager decides individually how to invest, how many llamas will be sent onto the commons and what will be the net village income? b. What is the socially optimal number of llamas for this village? c. The village committee votes to auction the right to graze the llamas to the highest bidder. How much will the grazing right sell for? What will be the net…