Find the simple interest for the given values of P, r, and t. Round to the nearest cent.P = $510, r = 4.5%, t = 3 years

A. $229.50
B. $22.95
C. $68.85
D. $688.50


Answer: C

Mathematics

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Graph the function f(x) over the given interval. Partition the interval into 4 subintervals of equal length. Then add to your sketch the rectangles associated with the Riemann sum , using the indicated point in the kth subinterval for ck.f(x) = x2 - 3, [0, 8], left-hand endpoint

A.

B.

C.

D.

Mathematics

Solve the given problem by using Laplace transforms.A constant force of 5 lb moves a 4-slug mass through a medium that resists the motion with a force equal to v, where v is the velocity. The differential equation relating the velocity of the mass to time is   Find v as a function of t if the object starts from rest.

A. v = 5e-t/4 
B. v = 5
C. v = 5
D. v = 5

Mathematics

Solve the inequality, giving its solution set in both interval and graph forms. -2 ? x - 5 ? 1

A. (3, 6)

B. [3, 6]

C. [-7, -4]

D. (-7, -4)

Mathematics

Evaluate as requested.Given that h(x) = 6x - , find h(-x).

A. 6x - 
B. -6x - 
C. -6x - 
D. -6x + 

Mathematics