Solve the problem. Round to the nearest cent.At the end of every 3 months, Teresa deposits $100 into an account that pays 4% compounded quarterly. After 2 years, she puts the accumulated amount into a certificate of deposit paying 7.5% compounded semiannually for 1 year. When this certificate matures, how much will Teresa have accumulated?
A. $887.58
B. $957.51
C. $894.40
D. $891.87
Answer: D
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Provide an appropriate response.If a body of mass m falling from rest under the action of gravity encounters an air resistance proportional to four times the square root of velocity, then the body's velocity t seconds into the fall satisfies the equation: m = mg - 4kv2where k is a constant that depends on the body's aerodynamic properties and the density of the air.Determine the equilibrium, velocity curve, and the terminal velocity for a 170 lb skydiver (mg = 170) with k = 0.005.
A. Equilibrium: v =
vterminal = 92.20 ft/sec
B. Equilibrium: v =
vterminal = 92.20 ft/sec
C. Equilibrium: v =
vterminal = 92.20 ft/sec
D. Equilibrium: v =
vterminal = 92.20 ft/sec
Write a numerical expression for the phrase and simplify it.The sum of -13 and -11, increased by -3
A. [13 + 11] + 3; 27 B. [(-13) + (-11)] + (-3); -27 C. [(-13) + (-11)] + (-3); -1 D. [(-13) + (-11)] + 3; -21
The given point is on the graph of y = f(x). Find a point on the graph of y = g(x).g(x) = f(x) - 4; (4, 13)
A. (4, 10) B. (4, 7) C. (4, 13) D. (4, 9)
Solve the problem.Let y1 equal the left side and let y2 equal the ride side of the given equation. Graph y1 and y2 and use the graph to solve the equation x + 2 = 4 - x.
A.
x = 2
B.
x = -1
C.
x = 1
D.
x = 0