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FPMT0107_Fall24

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The average weight (mean)

of a group of 10 people is 57.1 kg. 

If one person, whose weight is 49 kg,

leaves the group, what is the new mean?

T y p e space y o u r space a n s w e r 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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An amount of 10000 Rials accumulated to 13650 Rials after 3 years in an account in which interest was compounding continuously. 

Find the interest rate compounding continuously at which the money was invested.

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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.

 

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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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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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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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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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A manufacturer of a product sells all that is produced at a price of 12.600 rials per unit. The fixed cost is 1610 rials and the variable cost is 8 rials per unit.

Determine the Break-Even quantity (q). 

T y p e space y o u r space a n s w e r 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 v a l u e space o f space bold italic q space o n l y end enclose.

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