Assume in 2009, an investment of $3500 was made in a bond earning 6% compounded annually. Assume that the buyer pays at rate R and the annual rate of inflation is I. Suppose in the year 2019, the value V of the investment in constant 2009 dollars is . Calculate the function  for

src="https://sciemce.com/media/2/ppg__cognero__Section_13.1__media__91694034-75ae-44eb-bc00-7e4850369d73.PNG" class="wirisformula" align="middle" style="vertical-align: middle;" data-wiris-created="true" varid="variable_id_field" variablename="impvar_c7a39ed2cc08413abaf54e1e8" /> and . Round your answer to the nearest cent.

?



A. $5,881.86

B. $4,507.96

C. $3,709.31

D. $3,589.71

E. $5,314.56


Answer: B

Mathematics

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Determine whether Rolle's Theorem applies to the following functions on the given interval. If so, find the point(s) that are guaranteed to exist by Rolle's Theorem.f(x) = x3 + 3x2 + 3x + 1; [-1, 4]

A. = 1
B. = 0
C. = 
D. Rolle's Theorem does not apply

Mathematics

Transform the equation to a form without an xy-term by a rotation of axes and then identify the curve.3x2 + 4xy = 36

A.  +  = 1; ellipse
B.  -  = 1; hyperbola
C.  -  = 1; hyperbola
D.  -  = 1; hyperbola

Mathematics

Find the center of mass of a thin plate covering the given region with the given density function.The region bounded by the parabola y = 81 - x2 and the x-axis, with density ?(x) = 9x2

A.  = 0,  = 
B.  = 0,  = 
C.  = 0,  = 
D.  =  = 0

Mathematics

Perform the indicated operations and write the answer in the form  where a and b are real numbers.4i + (-4 - i)

A. -4 + 3i B. 4 - 5i C. -4 + 5i D. 4 - 3i

Mathematics