Solve the problem.A building 180 feet tall casts a 80 foot long shadow. If a person looks down from the top of the building, what is the measure of the angle between the end of the shadow and the vertical side of the building (to the nearest degree)? (Assume the person's eyes are level with the top of the building.)

A. 64°
B. 66°
C. 26°
D. 24°


Answer: D

Mathematics

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Solve.The rate of return of certain investments increases as the risk factor of the investment increases. An investment with a risk factor of 2 has a rate of return of 5.0%. An investment with a risk factor of 18 has a rate of return of 20.0%. What is the average rate of return per unit of risk?

A. 0.72% per unit risk B. 0.94% per unit risk C. 1.38% per unit risk D. 1.07% per unit risk

Mathematics

Answer the question.The strengths of the last 5 major earthquakes to hit California have differed by factors of 10. If you were to display data describing the strengths of these earthquakes what could you use to make the graph more readable?

A. A three dimensional graph B. An exponential scale C. A stack plot D. A color coded map

Mathematics

Sketch the graph and show all local extrema and inflection points.y = x4

A. Local maximum: 
Local minimum: (10, 0)
Inflection point: 

B. Absolute maximum: 
Absolute minimum: (10, 0)
Inflection points: 

C. Local maximum: 
Local minimum: (10, 0)
Inflection points: , (10, 0)


D. Absolute minimum: (10, 0)
No inflection points


Mathematics

Solve the problem.Find the discount and proceeds on a $16,030.00 face-value note for 250 days if the discount rate is 8.5%.

A. Discount = $1362.55 Proceeds = $14,667.45 B. Discount = $0.00 Proceeds = $16,030.00 C. Discount = $946.22 Proceeds = $15,083.78 D. Discount = $933.25 Proceeds = $15,096.75

Mathematics