please show all the work and the equations used

(we went over the similar example in class and MyLab) Assume Colgate-Palmolive Company has just paid an annual dividend of $0.99. Analysts are predicting an 11.8% per year growth rate in earnings over the next five years. After that, Colgate's earnings are expected to grow at the current industry average of 4.7% per year. If Colage's equity cost of capital is 7.7% per year and its dividend payout ratio remains constant, for what price does the dividend discount model predict Colgate stock should sell