Solve.When interest is compounded continuously, the balance in an account after t years is given by 
, where P0 is the initial investment and k is the interest rate. Suppose that P0 is invested in a savings account where interest is compounded continuously at 2% per year. Express P(t) in terms of P0 and 0.02.
A. P(t) = (P0)0.02t
B. P(t) = P0e2t
C. P(t) = P0e0.02
D. P(t) = P0e0.02t
Answer: D
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Calculate the circulation of the field F around the closed curve C.F = y3i + x2j; curve C is the counterclockwise path around the triangle with vertices at 
, and 
A. - 
B. 
C. 0
D. 
Find the coordinates of the midpoint of the line segment PQ.P(u - w, k), Q(u + w, k)
A. (k, u) B. (2u, 2k) C. (u, k) D. (-w, 0)
Solve the problem.Brand A soup contains 854 milligrams of sodium. It is recommended that a person requiring 2000 calories daily consume 2500 mg of sodium or less per day. Graph the function, f, that computes the number of mg of sodium in x cans of soup together with y1 = 2500, y2 = 5000, y3 = 7500 in [0, 10, 1] by [0, 8000, 1000]. Use the intersection-of-graphs method to find how many cans of soup contain 1, 2, and 3 daily allowances of sodium.
A. 
1 allowance = 3 cans;
2 allowances = 5 cans;
3 allowances = 8 cans
B. 
1 allowance = 3 cans;
2 allowances = 6 cans;
3 allowances = 9 cans
C. 
1 allowance = 6 cans;
2 allowances = 9 cans;
3 allowances = 3 cans
D. 
1 allowance = 3 cans;
2 allowances = 6 cans;
3 allowances = 9 cans
Change the improper fraction to a whole or mixed number.
A. 4
B. 5
C. 3
D. 4