algebra

pslagle

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Apr 1, 2006
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I am having some difficulty with questions:
1. Top bond fund. An investment of $10,000 in 1997 in the Spartan Investment Grade Bond Fund grew to $14,309.61 in 2002. Use the formula below to find the 5 year average annnual return.
r=(s/p)^1/5-1
r= 14309.61/10000= 1.43^1/5-1= .286-1 = -.714

2. In 2004 the CSC announced that obesity kills 400,000 americans a year. In April 2005, the center reduced that estimeate to 26,000 american deaths per year. If the correct figure is 26,000, what is the percentage error of the original estimate?
%change=new-old/old(100%)
26,000-400,000/400,000(100%)=-.935 or 94% error

3. According to USA Today, 94% of the American population eats pizza. For this estimate to be correct to within 4%, how many Americans must be surveyed?
n=(1.96/m)^2 *p(1-p)
n=(1.96/0.04)^2*(0.04)(1-0.04)=(49)^2(0.04)(.960)=2401(.038)=92.198 This seems to small of a number.
 
Troubles differentiating between multiplication and exponentiation?

1.43*(1/5) = 0.286

1.43^(1/5) = 1.0741556

Further, your problem statement needs some help.

"An investment of $10,000 in 1997 ... grew to $14,309.61 in 2002."

The term "in YYYY" is ambiguous.

12/31/1997 to 1/1/2002 is one day over four years.
1/1/1997 to 12/31/2002 is one day short of six years.
Why should we believe the 5-year return is of any value?
 
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