$9-16$ NONCONSTANT GROWTHCarnes Cosmetics Co$.\text{'}$s stock price is$$30,$ and it recently paid a $$1\mathrm{.}00$dividend. This dividend is expected togrow by $30\%$ for the next $3$ years, then grow forever at a constant rate, g; andIs $=9\%.$ At what constant rate is thestock expected to grow after Year $3?$