Solve the problem.A storage tank contains radium, which has a half-life of 1600 years.i) Let f(t) represent the percent of the radium that remains in the tank at t years after the element was placed in the tank. Find an equation for f.ii) Predict when 20% of the radium will remain.

What will be an ideal response?


i)f(t) = 100()t/1600 or f(t) = 100(0.999567)t
ii) 3716 years

Mathematics

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Simplify the expression. If any variables are present, assume that they are positive. ? 

A. 64 B. 16 C. 128 D. 8

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Factor by grouping.5x + 35 + xy + 7y

A. (x + 7y)(5 + y) B. (y + 7)(5x + y) C. (x + 7)(5 + y) D. (y + 7)(x + 5)

Mathematics

Use mathematical induction to prove that the statement is true for every positive integer n.9n > 9n - 1

What will be an ideal response?

Mathematics