The annual revenue and cost functions for a manufacturer of grandfather clocks are approximately R(x)=520x -0.02x² and C(x) = 200x+10m profit? OA. $1,280,000 ос B. $1,480,000 OC. $1,380,000 OD. $1,180,000

Find E(X) and if students pay $500 per course plus a $100 per-semester registration fee., What is the average amount of money the university can expect to make from a student each a semester?

(b) Tara's aunt invests $2000 for her when she is born. The interest rate is 3.5% per year. This rate does not change as long as the money stays invested. The interest is added to the amount she has invested on her birthday each year. The value of the investment after years can be modelled by the equation A = 2000 ×(1.035)' where the A is the value of the investment. (1) How long would it take for the value of the investment to be $2250? (ii) Tara reaches her 18th birthday. Calculate how much extra the investment will be worth if she leaves the money invested for another 3 years beyond her 18th birthday. (iii) Tara is calculating 2000 x 1.035™ (1.035"-1) With reference to the investment, explain what Tara is calculating.

(d) Can you think of other variables that might explain the variation in monthly rent?