Given the price-demand and price-supply equations below, determine the equilibrium quantity. D(x)=p=5−0.005x S(x)=p=1+0.02x

The population of a town has been growing linearly since 2000. The population t years since 2000 can be modeled by P(t)=0.12t+2.1, where P is measured in thousands of people. What is the approximate population of the town today, 2023?

D(x) is the price, in dollars per unit, that consumers are willing to pay for x units of an item, and S(x) is the price, in dollars per unit, that producers are willing to accept for x units. If the equilibrium price is $12 and the equilibrium quantity is 144 units, find the Consumer Surplus at the equilibrium point and then answer the question about Producer Surplus. 144 D(x)= S(x) = Vx %3D You must write a complete solution for part (a) and submit with your written work. Note: Consumer and Producer Surplus formulas are: Consumer Surplus: D(x)dx- PQ, Producer Surplus: PQ- | Sx)dx. [4 points] (a) The Consumer Surplus is S (Round to the nearest cent as needed.) (b) Which expression will give the correct value of the Producer Surplus? [2 points] O A. T 1 1A-(12|144) 0. -144 -(12)(144) |O B. 21 (12)(144)- [144 -0 OC. 3 2. 2, 21 144 3. (12)(144) D. 31 (12)(144)- 2. 144 E. (12)(144)- [12 -0 (Select the correct answer.) Click to select your answer(s).

When people take a certain drug, the drug is metabolised and eliminated at a certain rate. Suppose the initial amount of a drug in the body is 200 mg and is eliminated at a rate of 30% per hour.  Which equation describes the decrease in the amount of drug over time? Where:  X(t) is the amount of drug at time (t) t is the time in hours  Select one: a. X(t) = 200 (1.3)t b. X(t) = 200 (0.7)t c. X(t) = 200 (0.3)t d. X(t) = 200 (t)0.7

Find the consumers’ surplus at a price level of ?̅= $150 for the price demand equation ?(?) = 400 − 0.05?

The tuition at a public university was $21,000 in 2008. Between 2008 and 2010, the tuition had increased by 15%. Since then, it has continued to grow exponentially. Select all statements that describe the growth in tuition cost. A: The tuition cost can be defined by the function f(y) = 21,000 · (1.15) , where y represents years since 2008. B: The tuition cost increased 7.5% each year. C: The tuition cost increased about 7.2% each year. D: The tuition cost roughly doubles in 10 years. E: The tuition cost can be approximated by the function f(d) = 21,000 · 2ª, where d represents decades since 2008.

The national catch of Atlantic Cod has been declining in the past few decades.We can model this decline with the equationy =-0.003t2 + 0.120t + 1.909 where t is the number of years since 1950 and y is the catch in millions of metric tons.a. In which year did the catch reach its maximum?b. In which year will the catch reach 0?