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Compute and interpret the (approximate) mean percentage of research group income allocated to grocery purchase (Hint: Use the weighted average formula)


The lateral edge of a pyramidal church spire is 61 ft. Each side of the

octagonal base is 22 ft. What will be the cost of painting the spire at

$0.025 a square foot?


The joint pdf ofX and Y is f (x,y)=kxy







j2= 12% calculate to j4


Refer to this information. Calculate the future value of a 4 year investment of R13270 at an interest rate of 6.09% per annum compounded quarterly. 

If the interest rate changes at the end of the second year from 6.09$ per annum compounded quarterly to 7.54% per annum compounded quarterly, the accumulated value of the original investment of R13270 at the end of 4 years will be.. 


A pair of dice is cast and the numbers that show on the dice are observed. Find the probability that one die shows 6 and the other is a number less than 3.



how to solve power set? {12,34,{45}, 56}


Find the curvature, the radius and the center of curvature at a point.


r = sin 3 theta , theta = 0


Find the curvature, the radius and the center of curvature at a point.


r=1+ cos theta ,theta=π/2

Find the curvature, the radius and the center of curvature at a point.


x=t, y=1/t ; t=1


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