Solve the problem.In September 1998 the population of the country of West Goma in millions was modeled by 
At the same time the population of East Goma in millions was modeled by 
In both formulas x is the year, where 
corresponds to September 1998. Assuming these trends continue, estimate what the population will be when the populations are equal.
A. 1 million
B. 18 million
C. 17 million
D. 16 million
Answer: B
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?The following chart shows the proportion of a budget of $ 14,000 spent on household items.? ? Kitchen Equipment 1/6 Living Room Furniture 1/5 Dining Room Furniture Beds/Linen 3/10 ? Which of the following is true? ?
A. ?The purchasing of Living Room Furniture is greater than the purchasing of Beds/Linens. B. ?The proportion of the budget spent on Dining Room Furniture is 1/5. C. ?The proportion of the budget spent on Dining Room Furniture is 4/5. D. The amount of money spent on Kitchen Equipment is less than the amount of money spent on Dining Room Furniture. E. ?$420 more was spent on Living Room Furniture than on Kitchen Equipment.
Provide an appropriate response.Find dy/dt when x = 5 if y = 2x2 - 6x + 7 and dx/dt = 1/2.
Fill in the blank(s) with the appropriate word(s).
Translate to a system of three equations, then solve.A company sells nuts in bulk quantities. When bought in bulk, peanuts sell for $1.20 per pound, almonds for $2.65 per pound, and cashews for $3.50 per pound. Suppose a specialty shop wants a mixture of 400 pounds that will cost $2.93 per pound. Find the number of pounds of each type of nut if the sum of the number of pounds of almonds and cashews is four times the number of pounds of peanuts. Round your answers to the nearest pound.
A. Peanuts: 270 lb., almonds: 80 lb., cashews: 50 lb. B. Peanuts: 80 lb., almonds: 50 lb., cashews: 270 lb. C. Peanuts: 90 lb., almonds: 50 lb., cashews: 260 lb. D. Peanuts: 50 lb., almonds: 270 lb., cashews: 80 lb.
Translate the phrase into a mathematical expression and then find the result.The total of 473, 840, and 862 downloads
A. 473 + 840 + 862; 2075 downloads B. 473 - 840 + 862; 1702 downloads C. 473 + 840 - 862; 1313 downloads D. 473 + 840 + 862; 2175 downloads