If the endowment is subject to continuous interest compounding, then find the minimum value of r for which the one-time donation D establishes a large enough endowment to cover the maintenance costs forever. Your answer should be an algebraic expression for r.

A former U.S. President is hoping to establish a new Presidential Library like the LBJ one here at UT. The President is seeking a one-time donation to create an endowment whose interest will be sufficient to cover the library's maintenance costs forever. Let M be the constant, annual maintenance cost of the library, which you can assume is paid at the end of each year. Also, let r be the nominal interest rate on the endowment, and let D be the amount of the one-time donation. (a) If the endowment is subject to semiannual (twice per year) interest compounding, then find the minimum value of r for which the one-time donation D establishes a large enough endowment to cover the maintenance costs forever. Your answer should be an algebraic expression for r. A former U.S. President is hoping to establish a new Presidential Library like the LBJ one here at UT. The President is seeking a one-time donation to create an endowment whose interest will be sufficient to cover the library's maintenance costs forever. Let M be the constant, annual maintenance cost of the library, which you can assume is paid at the end of each year. Also, let r be the nominal interest rate on the endowment, and let D be the amount of the one-time donation. (a) If the endowment is subject to semiannual (twice per year) interest compounding, then find the minimum value of r for which the one-time donation D establishes a large enough endowment to cover the maintenance costs forever. Your answer should be an algebraic expression for r