Solve the problem.Use the formula N = Iekt, where N is the number of items in terms of the initial population I, at time t, and k is the growth constant equal to the percent of growth per unit of time. A certain radioactive isotope decays at a rate of 0.2% annually. Determine the half-life of this isotope, to the nearest year.

A. 347 years
B. 3 years
C. 250 years
D. 151 years


Answer: A

Mathematics

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Write the word statement in symbols.Two is less than or equal to six.

A. 2 > 6 B. 2 < 6 C. 2 ? 6 D. 2 ? 6

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The quantity demanded x (in units of a hundred) of the miniature cameras per week is related to the unit price p (in dollars) by

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and the quantity x (in units of a hundred) that the supplier is willing to make available in the market is related to the unit price p (in dollars) by
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If the market price is set at the equilibrium price, find the consumers' surplus and the producers' surplus. Please round the answers to the nearest dollar.
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The consumers' surplus: $__________
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The producers' surplus: $__________

What will be an ideal response?

Mathematics

Find the location and value of each local extremum for the function.

A. (-3,-1), (-2,0), (2,1) B. (-3,-1), (-1,2), (-2,0) C. (-3,-1), (-1,2), (2,1) D. (-2,0), (-1,2), (2,1)

Mathematics

Factor by grouping.6x2 + 8xy - 9xy - 12y2

A. (2x + 3y)(3x + 4y) B. (2x - 3y)(3x + 4y) C. (2x - 3)(3x + 4) D. (6x - 3y)(x + 4y)

Mathematics