Use the two steps for solving a linear programming problem to solve the problem.Zach is planning to invest up to $45,000 in corporate and municipal bonds. The least he will invest in corporate bonds is $7000 and he does not want to invest more than $25,000 in corporate bonds. He also does not want to invest more than $32,387 in municipal bonds. The interest is 8.2% on corporate bonds and 6.2% on municipal bonds. This is simple interest for one year. What is the maximum income?

A. $23,290
B. $28,290
C. $5810
D. $48,290


Answer: D

Mathematics

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Solve the problem.The table shows the number of sales of scooters y, in thousands, x months after they are introduced on the market. Use regression to find a logistic function f that models this data. Round the constants to the nearest hundredth.

A. f(x) = 
B. f(x) = 
C. f(x) = 
D. f(x) = 

Mathematics

A tile in the shape of a regular hexagon is shown. How many tiles will be required to cover a rectangular counter top area 3.4' by 3'? (Remember: One inch equals 2.54 centimeters.)

Mathematics

Solve.A faucet is used to add water to a large bottle that already contained some water. After it has been filling for 5 seconds, the gauge on the bottle indicates that it contains 19 ounces of water. After it has been filling for 13 seconds, the gauge indicates the bottle contains 43 ounces of water. Let y be the amount of water in the bottle x seconds after the faucet was turned on. Write a linear equation that relates the amount of water in the bottle,y, to the time x.

A. y = x + 
B. y = 3x + 4
C. y = -3x + 34
D. y = 3x + 30

Mathematics

Express the function in the form f(x) = a(x - h)2 + k and indicate the vertex.f(x) = x2 - 11x + 9

A. f(x) = (x + )2 + 
vertex: 
B. f(x) = (x - 13)2 + 9
vertex: (13, 9)
C. f(x) = (x + 11)2 + 251
vertex: (-11, 251)
D. f(x) = (x - )2 - 
vertex: 

Mathematics