Solve the problem.Gillian has $10,000 to invest in a mutual fund. The average annual rate of return for the past five years was 12.25%. Assuming this rate, determine how long it will take for her investment to double.

Fill in the blank(s) with the appropriate word(s).


6 years

Mathematics

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Without solving, determine the character of the solutions of the equation.x2 + 6x + 9 = 0

A. two unequal real solutions B. two complex solutions that are conjugates of each other C. a repeated real solution

Mathematics

Solve the equation analytically.x - x = 4

A. {-28} B. {-32} C. {32} D. {28}

Mathematics

Solve the problem.In the formula A(t) = A0ekt, A(t) is the amount of radioactive material remaining from an initial amount A0 at a given time t and k is a negative constant determined by the nature of the material. A certain radioactive isotope has a half-life of approximately 1050 years. How many years would be required for a given amount of this isotope to decay to 25% of that amount?

A. 436 yr B. 2075 yr C. 2100 yr D. 787.5 yr

Mathematics

Answer the question.The given graph is that of the derivative of a function f. Using information obtained from the graph of f' and the fact that f(-2) = 4, sketch the graph of f. Explain how you obtained the graph of f. 

What will be an ideal response?

Mathematics