Q and A for the topic: General

Exercise No. 1 (60 points) Suppose an economy for which we know that there is a fixed exchange rate of 1500 diner/$. Explain and graph (IS/LM and money market) what effect it would have on the interest rate if the current exchange rate is 800 diner/$.

Ena spends all her income on her rent,travel and life expenses. She spends third of her income on rent,fifth of her income on travel ans 420$ on living expenses. How much does she make per month?

What is the probability of getting exactly 4 heads when flipping a coin 6 times?

A factory produces light bulbs with a defect rate of 2%. If 100 light bulbs are selected at random, what is the probability of finding exactly 3 defective light bulbs?

2x+7x-3x+x-6x=

X-2x+3X-x=

A forester is trying to estimate the height of some trees. The forester stands in a position so that he tilts his head and looks up at the top of the tree at a 75 degree angle. The forester is standing 40 feet from the base of the tree. The foresters eyes are 5 feet off the ground. How tall is the tree?

acme removes charges $100 plus $30 per hour for an across town move. Hanks movers charges $55 per hour. for what lengths of time does it cost less to hire hanks movers

A guanaco should drink 5/6 of water a day, if one day it drinks only 3/4 liters of water, how many liters of water does it need to drink?

Determine the equation of the ellipse with the following properties: center at point (1,4), a focus at point (5,4) and eccentricity e=2/3

84.8 / _ = 10.6

How do you divide 10 by 1/3?

Differentiate y=(x+2)(x+5)

differentiate g(t)=3t/2t+1

find the vertex form of f(x)=2x^2+24x+70

Ana and Aline have a combined weight of 78 kg. If Ana's body mass is 42,200, what will be Aline's body mass in SI, CGS and FPS?

Simplify the following expressions completely: 1.1. sin 𝜃. cot 𝜃. sec 𝜃 Answer: 1 1.2. sec 𝜃. cos 𝜃 + 𝑡𝑎𝑛2𝜃 Answer: 𝑠𝑒𝑐2𝑥 1.3. sin 𝑥.sec 𝑥 Answer: tan 𝑥 1.4. cos 𝑥 − 1 Answer: −𝑠𝑖𝑛2𝑥 sec 𝑥 1.5. 𝑐𝑜𝑡2𝑥(𝑠𝑒𝑐2𝑥 − 1) Answer: 1 1.6. 1 + 1 Answer: 2 tan 𝑥 sec 𝑥 cosec 𝑥−1 cosec 𝑥+1 1.7. sec 𝑥 cos 𝑥 Answer: 1 1.8. tan 𝑥 csc 𝑥 Answer: sec 𝑥 1.9. sec 𝑥 Answer: tan 𝑥 csc 𝑥 1.10. tan 𝑥 Answer: sin 𝑥 sec 𝑥 1.11. 𝑐𝑜𝑠2𝑥 csc 𝑥 − csc 𝑥 Answer: − sin 𝑥 1.12. 𝑡𝑎𝑛2𝑥 − 𝑡𝑎𝑛2𝑥𝑠𝑖𝑛2𝑥 Answer: 𝑠𝑖𝑛2𝑥 1.13. sin 𝑥 + cot 𝑥 cos 𝑥 Answer: csc 𝑥 1.14. csc 𝑥 − cos 𝑥𝑐𝑜𝑡 𝑥 Answer: sin 𝑥 1.15. tan 𝑥 csc 𝑥 Answer: tan 𝑥 1.16. cos 𝑥 tan 𝑥 Answer: sin 𝑥 1.17. cot 𝑥 sec 𝑥 Answer: csc 𝑥 1.18. (cos𝑥)(tan 𝑥)(csc 𝑥) Answer: 1 1.19. csc 𝑥 Answer: cot 𝑥 sec 𝑥 1.20. cot 𝑥 Answer: cos𝑥 tan 𝑥 1.21. cot 𝑥 Answer: 𝑐𝑜𝑡2𝑥 𝑐𝑠𝑐 𝑥 𝑠𝑖𝑛2𝑥𝑐𝑜𝑡 𝑥 1.22. Answer: sin 𝑥 cos 𝑥 1.23. 1𝑐−𝑠𝑐𝑠𝑖𝑛2−21𝑥 Answer: 𝑐𝑜𝑠 𝑐𝑜𝑡22𝑥𝑥 1.24. 𝑡𝑎𝑛21𝑥+1 Answer: 𝑐𝑜𝑠2𝑥 1.25. 𝑡𝑎𝑛2𝑥 − 𝑡𝑎𝑛2𝑥 sin 𝑥 Answer: 𝑠𝑖𝑛2𝑥 1.26. 𝑠𝑖𝑛2𝑥𝑐𝑠𝑐2𝑥 − 𝑠𝑖𝑛2𝑥 Answer: 𝑐𝑜𝑠2𝑥

José paid 3000 reais for 2.5 tons of rice. Determine the price paid per kilo of rice.

A Formula 1 race started at 2:10:42. If the winner clocked 38:30, what time did the race end?

Find the PA whose third term is 8 and whose ninth term is 26.