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Solve the following rate of return problems.

a$.$ An investment of $$1,600$ today returns $$70,000$ in $50$ years. What is the internal rate of return on this investment?

b$.$ An investment costs $$750,000$ today and promises a single payment of $$13\mathrm{.}5$ million in $22$ years. What is the promised rate of return, IRR, on this investment?

c$.$ What return do you earn if you pay $$24,890$ for a stream of $$5,000$ payments lasting $10$ years?

Note: Round your answers to $2$ decimal places.

$\backslash$table$[[$a$.$ IRR,$\%,],[$b$.$ IRR,$\%,],[$c$.$ IRR,,$\%$