Tenim du conté 25 concentray

Quedan 55 bombones \( 36 \div \sqrt{\frac{1}{3} \times 36}+\frac{2}{9} \times 36 \) \( 36- \)

12. A train normally travels at a speed of 120 km per hour. One day, the conditions were so icy and cold that town to travel safely. So the train traveled the first half of its \( 160-\mathrm{km} \) joumey at half is normal sped. Then the weather improved, and the train was able to go faster again. It sped the remaining distance at twice its normal speed to make up time. a. How long did the train take to travel the whole distance \( (160 \mathrm{~km}) \) ? b. How long would the train have taken if it had traveled the whole trip at its normal speed? c. What was the train's average speed for the trip on this cold and icy day?

Question 2 Consider the following (inverse) supply and dernand (linear) functions/equations: \( P=10+1.55 Q^{s} \) \( P=35-0.95 Q^{d} \) Here you have two equations and three unknowns: \( P, Q^{s} \), and \( Q^{d} \). In order to find a unique solution, leverage the following condition (identity) that holds when the market is at equilibrium \( Q^{d}=Q^{s}=Q^{e} \) Therefore, the supply and demand functions can be rewritten such you end up with two equations and two unknowns, as follows: \( P=10+1.55 Q^{e} \) \( P=35-0.95 Q^{e} \) \( 2 a \). ( 20 POINTS) Solve for the values of P and \( Q^{e} \). Show the work that leads to your answer. \( 2 b \). ( 20 POINTS) Calculate consumer surplus (CS) and producer surplus (PS). Show the work that leads to your answer. Keep in mind that CS is the area belo) demand curve and above the price line, whereas PS is the area above the supply curve and below the price line. Also, remember that the area of a triangle calculated as: (base \( x \) height) /2.

Resuelva el sistema, usando la regla de cramer. \( \begin{aligned} 2 x_{1}+4 x_{2}+6 x_{3}=18 \\ 4 x_{1}+5 x_{2}+6 x_{3}=24 \\ 3 x_{1}+x_{2}-2 x_{3}=4\end{aligned} \)

Select all the expressions that result in the same value as \( 40(1+30) \)