kilometers to the gallon. 6. In June 2021 , Peter wants to manage his time carefully to know the number of interviews, (T) he can take. For each interview that he takes, he expects to spend 3.5 hours working on the candidate's application. In addition to this, he expects to spend an additional (5) hours to schedule interviews for all candidate. If Peter has 80 hours available in June, how many interviews can he take?

b) \( \frac{x+3}{4}-\frac{2 x-5}{6}=\frac{-x-4}{12} \)

13. Find \( \frac{d y}{d x} \) given i) \( y=\ln \left[\frac{x+1}{\sqrt{x-2}}\right] \) marks) ii) \( y=\frac{x^{3 / 4} \sqrt{x^{2}+1}}{(3 x+2) 5} \) iii) \( y=x^{4} \mathrm{e}^{3 x} \tan \mathrm{x} \) iv) \( y=\frac{e^{4 x}}{x^{3} \cos 2 x} \)

Potential GDP equals \( \$ 500 \) billion. The economy is currently producing GDP equal to \( \$ 450 \) billion. If the MPC is 0.74 , then autonomous spending must change bilion for the economy to move to potential GDP? Please round to two decimal places where needed.

Question 14

Find the value of \( \frac{2}{3} \times \frac{1}{4} \). Give your answer as a fraction in the simplest form.