The following table shows the earnings for the Juarez family last year. Use this information to answer the question.MonthEarningsMonthEarningsJan.$1400July$1300Feb.$1150Aug.$2450Mar.$2950Sept.$2500Apr.$2300Oct.$2000May$1650Nov.$2350June$2700Dec.$2400The family used  of their income for food purchases. How much did they spend on food purchases for the year?

A. $3018
B. $2520
C. $3552
D. $3240


Answer: A

Mathematics

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Solve the problem. Round to the nearest tenth unless indicated otherwise.The force needed to keep a car from skidding on a curve varies jointly as the weight of the car and the square of the car's speed, and inversely as the radius of the curve. If a force of   is needed to keep an  car traveling at 20 mph from skidding on a curve of radius  what force would be required to keep the same car from skidding on a curve of radius 

src="https://sciemce.com/media/4/ppg__refe0512191816__f1q57g4.jpg" alt="" style="vertical-align: -4.0px;" /> at  Round your answer to the nearest pound of force.

A. 20,962 lb
B. 21,664 lb
C. 21,126 lb
D. 21,094 lb

Mathematics

Consider the feasible set (FS) below of a certain linear programming problem.What is the maximum value of the objective function 5x - y?

A. -40 B. 0 C. 30 D. 19 E. none of these

Mathematics

Solve the problem.The intensity of light I at time t hours after sunrise and at a depth of x feet below the ocean surface is given by I(x,t) = Ioe-kx sin3 ,where D is the length of daylight in hours, Io is the intensity of light on the surface of the water at midday, and k is a positive constant. Assume D = 14, Io = 50, and k = 0.005. In a study of the effect of light on ocean plants, a scientist needs to determine the minimum depth x at which a plant would never at any time be exposed to an intensity of light greater than 25. What is this minimum depth?

A. 108 ft B. 385 ft C. 139 ft D. 65 ft

Mathematics

Solve the equation.(r + 4)2 = 14

A.
B. -4 + -4 - 
C. 4 + 4 - 
D. 10

Mathematics