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FPMT0107_Fall24

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If a principal of  8000 Rials is invested at an interest rate of 3 space% compounded monthly, find the compound amount after 4 years.

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Given that   log subscript space b end subscript space C space equals space 64   and   log subscript space b end subscript space D space space equals space 5,  find the value of  log subscript space b space end subscript open parentheses fraction numerator fourth root of C over denominator D to the power of space 3 end exponent end fraction close parentheses.

 

begin mathsize 14px style bold Type bold space bold your bold space bold answer bold space bold in bold space bold the bold space bold box bold space bold below bold comma bold space bottom enclose bold the bold space bold number bold space bold only end enclose bold. end style

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begin mathsize 16px style bold italic P bold italic a bold italic r bold italic t bold space bold italic I bold italic I space space bold italic S bold italic H bold italic O bold italic W bold thin space bold space bold italic A bold italic L bold italic L bold space bold thin space bold italic S bold italic T bold italic E bold italic P bold italic S space space o f space y o u r space w o r k. end style

left square bracket bold 7 bold space text bold marks end text right square bracket

Consider the quadratic function  f left parenthesis x right parenthesis equals 2 x squared space plus space 8 x space plus 7.

(a)   Find the vertex, x- and y-intercepts of f.

(b)   Sketch the graph of f.  

(c)   What is the minimum value of f?

T y p e space y o u r space a n s w e r space f o r space p a r t space left parenthesis bold italic c right parenthesis space i n space t h e space b o x space b e l o w comma space bottom enclose t h e space n u m b e r space o n l y end enclose.

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Solve the exponential equation:   8 to the power of 6 x minus 5 end exponent equals 4.

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Express  ln space open square brackets open parentheses x over y close parentheses to the power of 2 space end exponent open parentheses z over x close parentheses close square brackets  in terms of  ln space x comma space space ln space y comma space spaceand  ln space z.

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The demand function for a manufacturer’s product is  p equals 84 minus 0.2 q, where p is the price (in Rials) per unit when q units are demanded (per week) by consumers.  Find  the maximum revenue.

Type your answer in the box below, the number ONLY. 

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The range of the exponential function    f left parenthesis x right parenthesis equals 3 minus e to the power of x plus 1 end exponent  is

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Find the domain of function  Error converting from MathML to accessible text.  if  f left parenthesis x right parenthesis equals square root of 2 x space plus space 4 end root  and  g left parenthesis x right parenthesis equals 5 minus x.

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Write the expression  5 log space y minus 2 space left parenthesis log space x space plus log space z right parenthesis as a single logarithm.

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Analyze the graph of function bold italic f below.  

Which of the following statements is TRUE ?

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