Here is the formula you'll need
Total = Principal * (1 + (rate/n))^n*years
I don't know how to solve that for "n" so we'll use trial and error.
If compounded annually, total =
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10,841.24
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If compounded quarterly, total =
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10,955.64
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</span></span><span>If compounded monthly, total =
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10,981.82
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If compounded daily, total =
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10,994.58
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</span>
</span>
Therefore the answer is "A", daily.
Source:
http://www.1728.org/compint3.htm
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Answer:
the dimensions that minimize the cost of the cylinder are R= 3.85 cm and L=12.88 cm
Step-by-step explanation:
since the volume of a cylinder is
V= π*R²*L → L =V/ (π*R²)
the cost function is
Cost = cost of side material * side area + cost of top and bottom material * top and bottom area
C = a* 2*π*R*L + b* 2*π*R²
replacing the value of L
C = a* 2*π*R* V/ (π*R²) + b* 2*π*R² = a* 2*V/R + b* 2*π*R²
then the optimal radius for minimum cost can be found when the derivative of the cost with respect to the radius equals 0 , then
dC/dR = -2*a*V/R² + 4*π*b*R = 0
4*π*b*R = 2*a*V/R²
R³ = a*V/(2*π*b)
R= ∛( a*V/(2*π*b))
replacing values
R= ∛( a*V/(2*π*b)) = ∛(0.03$/cm² * 600 cm³ /(2*π* 0.05$/cm²) )= 3.85 cm
then
L =V/ (π*R²) = 600 cm³/(π*(3.85 cm)²) = 12.88 cm
therefore the dimensions that minimize the cost of the cylinder are R= 3.85 cm and L=12.88 cm
The slope is 4 because you go up 4 and over one which created the slope 4/1 which is just 4
Answer:
Eliza is 1
Step-by-step explanation:
If Eliza is 2 years younger than 1/2 her brothers age and Juan is 6.
- - Take 3 away from 2 ( 3-2=1)
So that means Eliza would be 1
Answer:
x=lizards y=snakes
x+36=y x+y=214
x + x +36=214
2x=214-36
2x/2=178/2
x=89lizards y=89+36=125snakes
Step-by-step explanation:
f= female sankes m=male snakes
m+31=f
m+f=125
m+m+31=125
2m=125-31
2m/2=94/2
m=47 male snakes
f=47+31=78female snakes
