Solve the problem.The force acting on a pendulum to bring it to its perpendicular resting point is called the restoring force. The restoring force F, in Newtons, acting on a string pendulum is given by the formula F = mg sin?where m is the mass in kilograms of the pendulum's bob, g ? 9.8 meters per second per second is the acceleration due to gravity, and ? is angle at which the pendulum is displaced from the perpendicular. What is the value of the restoring force when m = 0.6 kilogram and ? = 45°? If necessary, round the answer to the nearest tenth of a Newton.
A. 4.4 N
B. 4.2 N
C. 4 N
D. 5 N
Answer: B
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Use a graphing calculator to graph the function using the given viewing window. Use the graph to decide if the function is one-to-one. If the function is one-to-one, give the equation of the inverse function.f(x) = 
; [-8, 8] by [-8, 8]
A. One-to-one; f-1(x) = 
B. Not one-to-one
C. One-to-one; f-1(x) = 
D. One-to-one; f-1(x) = 
Evaluate the function as indicated.Find g(d2) when g(x) = 3 - 3x.
A. 3 + d2 B. 3 + 3d2 C. 3 + -3d2 D. 3 - 3x2
The size of the monthly repayment k that amortizes a loan of A dollars in N years at an interest rate of r per year, compounded monthly, on the unpaid balance is given by
The value of r can be found by performing the iteration
A family secured a loan of $360,000 from a bank to finance the purchase of a house. They have
agreed to repay the loan in equal monthly installments of $2476 over 25 years. Find the interest
rate on this loan. Round the rate to one decimal place.
a. 8.7%
b. 7.7%
c. 6.7%
d. 5.7%
Solve the equation and check.
x = __________
Fill in the blank(s) with the appropriate word(s).