Solve the problem.In the formula A(t) = A0ekt, A 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. An artifact is discovered at a certain site. If it has 59% 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, if necessary.
A. 4720 years
B. 1833 years
C. 3280 years
D. 4221 years
Answer: D
You might also like to view...
Solve the problem.The differential equation for a falling body near the earth's surface with air resistance proportional to the velocity v is dv/dt = -g - av, where g = 32 feet per second per second is the acceleration due to gravity and a > 0 is the drag coefficient. This equation can be solved to obtain v(t) = (v0 - v?)e-at + v?, where v0 = v(0) and v? = -g/a = 
v(t), the terminal velocity.This equation, in turn, can be solved to obtain y(t) = y0 + tv? + (1/a)(v0 - v?)(1 - e-at) where y(t) denotes the altitude at time t. Suppose that a ball is thrown straight up from ground level with an initial velocity v0 and drag coefficient a. Write an equation in
terms of v0, g, and a for T, the time when the ball hits the ground.
A. -gT + 
ln 
= 0
B. -gT + 
(1 - e-aT) = 0
C. -aT + 
(1 - e-aT) = 0
D. -gT + 
(1 - e-aT) = 0
Find an equation for the conic. If the conic is a parabola, assume that the vertex is at the origin. If the conic is an ellipse or hyperbola, assume that it is centered at the origin.Vertical major axis of length 6 and e = 
A. 
+ 
= 1
B. 
+ 
= 1
C. 
+ 
= 1
D. 
+ 
= 1
Solve the logarithmic equation.log2 
= -4
A. ? B. {-8} C. {24} D. {-16, 16}
Use the grid to graph the function. Find the limit, if it exists
f(x), f(x) = sin x - 2
A. -1 B. 3 C. -2 D. does not exist