212-5t+8 3. The value of a virtual currency (in $100) is given by V(t)= where t is the number " t²+4 of weeks since the virtual currency has been introduced. (a) Using the function given, determine the average rate of change of the virtual currency's value for (i) the first 2 weeks. (ii) from week 2 to week 4 (b) Find the instantaneous rate of change of the virtual currency's value at 2 weeks. (Round your answer to the nearest whole number) (c) What can you conclude from the results from (a) and (b)?

0 = f8 + ᏲᎢ + /L ᎯᏳᎢ

(a) If a painter can complete a job in 4 hours, what is the painter's rate of work? ? of the job per hour (b) If the painter works for x hours, how much of the job is completed? ? of the job is completed

A tank holds 200 gal of water that contains 40 lb of dissolved salt. A brine (salt) solution is flowing into the tank at the rate of 2 gal per minute while the solution flows out at the same rate. The brine solution entering the tank has a salt concentration of 4 lb per gal. (a) Find a function that represents the amount of salt in the tank at any time. (b) As time passes, what happens to the salt concentration?

50/20=t/4

BEAT has been selling their very own Platinum Eco-Charger since the beginning of this semester. If the number of units sold N, as a function of time, t, in years, can be represented by N(t) = 100(e-³ - e"), what was the highest number of chargers sold in a day?

PLEASE HELP

Solve and check 1/(x+3)+1/x=1/2

9. As shown in the figure to the right, water is draining from the conical tank with height 12 feet and diameter 8 feet into a cylindrical tank that has a base with area 400n square feet. The depth h, in feet, of the water in the conical tank is changing at the rate of (h- 12) feet per 8 feet minute. 12 feet (a) Write an expression for the volume of water in the conical tank as a function of h. (b) At what rate is the volume of water in the conical tank changing when h = 3? Indicate units of measure. (c) Let y be the depth, in feet, of the water in the cylindrical tank. At what rate is y changing when h = 3? Indicate units of measure.

A study of driving costs of 2015 model sedan cars found that the average cost (car payments, gas, insurance, upkeep, and depreciation), measured in cents/mile, is approximated by AC(x) = 45+ 120 where denotes the number of miles (in thousands of miles) the car is driven in a X x year. 1. What is the average cost of driving a sedan car 20,000 mi/yr? 2. What happens to the average cost as the number of miles driven increases without bound?