Your company has an opportunity to invest in four companies. You are trying to determine which of these investments make sense. Your company has a $9\%$ cost of capital. It will invest in these companies and receive an annual cash dividend each year starting one year after the investment. At the end of the term of investment, the investment will be scrapped with no salvage value. $($a$)$Determine the internal rate of return for each investment. Round off to the nearest integer discount rate, with detailed calculation process.

$($b$)$Which investments would you recommend your company make?