Solve the problem.The value of a particular investment follows a pattern of exponential growth. You invested money in a money market account. The value of your investment t years after your initial investment is given by the exponential growth model A = 4100e0.068t. When will the account be worth $6166?

A. 8 years after the initial investment
B. 6 years after the initial investment
C. 5 years after the initial investment
D. 7 years after the initial investment


Answer: B

Mathematics

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Solve.Marcus is planting a section of garden with tomatoes and cucumbers. The available area of the section is 150 square feet. He wants the area planted with tomatoes to be more than  of the area planted with cucumbers. Write a system of inequalities to describe the situation. Let x represent the area (in square feet) planted in tomatoes and y represent the area (in square feet) planted in cucumbers.

A. x + y ? 150, x < 0.25y, x ? 0, y ? 0 B. x + y ? 150, x > 0.25y, x ? 0, y ? 0 C. x + y ? 150, x > 25y, x ? 0, y ? 0 D. x + y = 150, x ? 0.25y, x ? 0, y ? 0

Mathematics

Determine the vertex of the graph of f.f(x) = 4x2 - 16x + 19

A. (3, 2) B. (-2, -3) C. (2, 3) D. (-3, -2)

Mathematics

Write an equation. Then, solve and check.The population of a city is  It is estimated that this is about  of the projected population fifty years later. What is the projected population of the city?

A. 4 = x; x = 6 million people
B. 4 = x; x = 2 million people
C. 4 = x - ; x = 4 million people
D. =  ? 4; x = 2 million people

Mathematics

Simplify.

A.
B.
C.
D.

Mathematics