Which ordered pair is a solution to the inequality?





A) (0, 1)

B) (-2, 0)

C) (-1, 0)

D) (1. -1)

E) (-2, 2)


D) (1. -1)

Mathematics

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Estimate the magnitude of the error involved in using the sum of the first four terms to approximate the sum of the entire series., -1 < t ? 1

A. 0.20
B.
C.
D.

Mathematics

Solve.The equation that represents the proper traffic control and emergency vehicle response availability in a small city is  where P is the number of police cars on active duty and F is the number of fire trucks that have left the firehouse in response to a call. In order to comply with staffing limitations, the equation  is appropriate. The number of police cars on active duty and the number of fire trucks that have left the firehouse in response to a call cannot be negative, so 

style="vertical-align: -4.0px;" /> and  Graph the regions satisfying all the availability and staffing requirements, using the horizontal axis for P and the vertical axis for F. If 5 police cars are on active duty and 5 fire trucks have left the firehouse in response to a call, are all of the requirements satisfied?

A. Yes

B. No

C. No

D. Yes

Mathematics

Perform the indicated operation.3 mg ÷ 4

A. 1.33 mg B. 7.5 mg C. 0.75 mg D. 13.33 mg

Mathematics

Solve the problem.An initial deposit of $45,000 is made into an account that earns 5.4% compounded continuously. Money is then withdrawn at a constant rate of $2,700 a year until the amount in the account is 0. Find the amount in the account at any time t. When is the amount 0? What is the total withdrawn from the account?

A. The amount y in the account at any time t is y = 50,000 - 5,000e0.054t. The account will be depleted after about 20.5 years. A total of about $55,350 will have been withdrawn at that time. B. The amount y in the account at any time t is y = 50,000 - 5,000e0.054t. The account will be depleted after about 42.6 years. A total of about $115,130 will have been withdrawn at that time. C. The amount y in the account at any time t is y = 50,000 - 7,500e0.054t. The account will be depleted after about 15.4 years. A total of about $41,580 will have been withdrawn at that time. D. The amount y in the account at any time t is y = 50,000 - 7,500e0.054t. The account will be depleted after about 35.1 years. A total of about $94,770 will have been withdrawn at that time.

Mathematics