Solve the problem.In the formula A = Iekt, A is the amount of radioactive material remaining from an initial amount I at a given time t and k is a negative constant determined by the nature of the material. An artifact is discovered at a certain site. If it has 74% of the carbon-14 it originally contained, what is the approximate age of the artifact? (carbon-14 decays at the rate of 0.0125% annually.) (Round to the nearest year.)
A. 2409 yr
B. 2080 yr
C. 1046 yr
D. 5920 yr
Answer: A
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Determine the domain and the equations of the asymptotes for the graph of the rational function.
A. (-?, -4) ? (-4, 4) ? (4, ?), y = 3, x = ±4 B. (-?, 3) ? (3, ?), y = ±4, x = 3 C. (-?, 3) ? (3, ?), y = 3, x = ±4 D. (-?, -4) ? (-4, 4) ? (4, ?), y = ±4, x = 3
Solve the linear system using an inverse matrix.x + 2y + 3z = -2x + y + z = 11x - 2z = -5
A. (42, -73, 29) B. (35, 39, 15) C. (-2, 0, 0) D. (53, -71, 29)
x? = x(0.1? 0.004x ? 0.001y) , y? = y (0.05 ? 0.001x ? 0.001y) , x (0) = 2, y (0) =1
For the systems of differential equations, use Euler’s method with ?x = 2 to plot the trajectory of x and y to plot the trajectory for 0 ? t ? 500.
Solve the problem.How long must $5300 be in a bank at 5% compounded annually to become $8222.04? (Round to the nearest year.)
A. 8 yr B. 9 yr C. 11 yr D. 10 yr