Solve the problem.An artifact is discovered at a certain site. If it has 78% of the carbon-14 it originally contained, what is the approximate age of the artifact to the nearest year? Carbon-14 decays at the rate of 0.0125% annually. Round to the nearest year, if necessary.
A. 863 years
B. 1760 years
C. 6240 years
D. 1988 years
Answer: D
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Convert the numeral to Hindu-Arabic form.
A. 542,419 B. 542,199 C. 531,379 D. 542,179
Provide an appropriate response. A basic relationship between the sine value of an angle and the cosine value of the same angle is given as (sin A)2 + (cos A)2 = 1. Determine cos A if sin A = 0.3907.
A. 0.6093 B. 0.9205 C. 0.7806 D. 0.8474
Set up the linear programming problem.A dietitian needs to purchase food for patients. She can purchase an ounce of chicken for $0.25 and an ounce of potatoes for $0.02. The dietician is bound by the following constraints.? Each ounce of chicken contains 13 grams of protein and 24 grams of carbohydrates.? Each ounce of potatoes contains 5 grams of protein and 35 grams of carbohydrates.? The minimum daily requirements for the patients under the dietitian's care are 45 grams of protein and 58 grams of carbohydrates. Let x = the number of ounces of chicken and 
number of ounces of potatoes purchased per patient. Write a system of inequalities that describes these
constraints.
A. 
B. 
C. 
D. 
Solve the problem.A venture capital firm invested $2,000,000 in a new company in 1995. In 1999, they sold their stake in the company for $10,500,000. What was the average annual rate of return on their investment?
Fill in the blank(s) with the appropriate word(s).