Solve the problem.A ship sailing parallel to shore sights a lighthouse at an angle of 13° from its direction of travel. After traveling 5 miles farther, the angle is 24°. At that time, how far is the ship from the lighthouse?

A. 5 mi
B. 10.66 mi
C. 5.89 mi
D. 2.77 mi


Answer: C

Mathematics

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Solve the problem.In the formula A = Iekt, A is the amount of radioactive material remaining from an initial amount I at a given time t, and k is a negative constant determined by the nature of the material. An artifact is discovered at a certain site. If it has 53% of the carbon-14 it originally contained, what is the approximate age of the artifact? (carbon-14 decays at the rate of 0.0125% annually.) (Round to the nearest year.)

A. 3760 yr B. 2206 yr C. 4240 yr D. 5079 yr

Mathematics

Find the amount of each payment to be made into a sinking fund so that enough will be present to accumulate the following amount. Payments are made at the end of each period. The interest rate given is per period.$50,000; money earns 4% compounded semiannually for 

A. $1084.33 B. $510.03 C. $1000.11 D. $1040.93

Mathematics

Select the equivalent equation that could be the next step in finding a solution to the equation.3x + 9 = 6

A. x = 5 B. 3x = 15 C. x = - 1 D. 3x = -3

Mathematics

Solve. -  = 

A. -2 
B.
C. 9
D. 2

Mathematics