1. Calculate the value of X from the following equations

(a). (10)^{4x +3}= 25

(b). 125 = 230e^-x

^{2. How much should you pay an annuity of six-month payments of $1000 for three years, assuming an interest rate of 2 % per annual?}

3. If P = 200 -8Q and TC = 100 + 6Q

(a). Find the profit-maximizing Q

(b). Prove your answer is a maximum point