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From a lighthouse 15 meters above sea level, a shipwreck can be seen on the sea surface 100 meters away at the foot of the lighthouse. What is the angle of depression from the top of the lighthouse to the wreck?

Five bottling machines fill 240 bottles in 20 minutes, 120 bottles in 15 minutes, 180 bottles in 10 minutes, 200 bottles in 10 minutes and 90 bottles in 6 minutes, respectively. If they work for an hour and a half, how many bottles will the fastest bottler fill?

Trey and his friend equally share a 12 ounce jar of applesauce how much applesauce in ounces does each person receive?

For the function f(x), the real number a where f(a)=a is called the fixed point of the function f(x). Show that when f(x) is continuous and differentiable for all real numbers x, if f’(x)≠1, then f(x) has at most one fixed point.

A total of 5160 people voted in the city election. This was 43% of the registered voters. How many registered coters are in the city

Back in 2005, the monorail in a certain city charged $2 per ride and had an average ridership of about 29,000 per day. In December 2005, the monorail company raised the fare to $4 per ride, and average ridership in 2006 plunged to around 15,000 per day. (a) Use the given information to find a linear demand equation. (p is the cost in dollars.) q(p) =

Anna plans to purchase a new vehicle in two years. To do this, he deposits a savings of Q 20,000 in Bank A at a rate of 8.75% annual interest, compounded semiannually. In addition, it will also make bimonthly deposits due in Bank B at a rate of 9% per year, compounded bimonthly. If the price of the vehicle you want to buy in two years is Q 160,000. What should be the value of bimonthly deposits? to. Q9,248.37 b. Q11,005.17 c. Q10,448.69 d. Q10,148.47 and. None of the above.

The concert pianist “Donna Prima” is very upset by the number of sneezes that occur in the audience just before he begins to play. During her last tour, Donna estimated an average of 10 sneezes just before to start their concerts. Mrs. Donna Prima has warned her director that, If you hear more than 15 sneezes before starting that night's concert, you will be will refuse to touch. What is the probability that the artist plays the piano in the concert that night?

(Linear cost model) Christian Jiménez determines that if he produces 100 items the total cost is $500, while if he produces 150 items the total cost is $600. Assuming the production-cost model is linear, determine the fixed cost and variable costs. What will be the cost of producing 200 items?

a standard deck of 52 cards without replacement, how many different outcomes are possible?