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a )


Two solutions.
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b )


One solution .
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c )


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d )


One solution.
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e )



Two solutions.
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f )


Two solutions .
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compound interest equation for annually compounded

A=final amount
P=principal
r=rate in decimal
t=time in years
given that
A=1550
P=1000
r=5.5%=0.055
find t

divide both sides by 1000

take ln of both sides

use ln rule 

divide both sides by ln(1.055)

using a calculator, we get that t=8.18544 yrs
so about 8.2yrs
The probability of choosing a large red fish is 5/15 or 1/3
Sphere surface area is A=4pi*r^2. So r is sqrt(A/4pi)
r=4cm. So d=8cm