Solve the problem.How many liters of 30%-alcohol solution must be mixed with 60 L of 90%-alcohol solution to get a solution that is 50% alcohol?

A. 18 L
B. 120 L
C. 12 L
D. 180 L


Answer: B

Mathematics

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For the graph below, use the nearest neighbor algorithm to find an approximate minimum Hamilton circuit and its weight, starting at the indicated vertex.Starting at B

A. B ? A ? D ? C ? F ? E ? B; weight = 103 B. B ? F ? E ? C ? A ? D ? B; weight = 99 C. B ? F ? D ? A ? C ? E ? B; weight = 102 D. B ? F ? D ? C ? A ? E ? B; weight = 99

Mathematics

Find by implicit differentiation.

Mathematics

Find the slope and the y-intercept from the equation of the line. Sketch a graph of the equation.y = - x + 1

A. m = - ; y-intercept = -1

B. m = - ; y-intercept = 1

C. m = ; y-intercept = -1

D. m = ; y-intercept = 1

Mathematics

Solve the problem.The rate of a continuous money flow starts at $500 and increases exponentially at 4% per year for 10 years. Find the present value if interest is earned at 6% compounded continuously.

A. $45,468.27 B. $30,535.07 C. $4531.73 D. $5535.07

Mathematics