Answer: £784.08
Step-by-step explanation:
First find 1% of 800, which is 800/100=£8
800-8= £792 after 1 year
find 1% of 792, which is 792/100=£7.92
792-7.92= £784.08
So Volume of cylinder is pi*r^2*h = 1,000
Then lightest one means you have the smallest surface area. Which is one base and then the area of the surface. SA = pi*r^2 + 2pi*r*h
So now you have 2 equations, so:
h = 1,000/(pi*r^2)
So then SA = pi*r^2 + 2pi*r*(1,000/(pi*r^2) = pi*r^2 + 2,000/r
Derivative of SA is then 2pi*r -2,000/r^2. Set to 0
2pi*r-2,000/r^2 =0 --> 2pi*r^3 = 2,000 --> r^3 = 1,000/pi --> r = 10/pi^(1/3)
Now go back to the volume function: pi*r^2*h =1,000 --> 1,000/(pi*100/pi^(2/3)) = h
<span>h = 10 / pi^(1/3)</span>
Step-by-step explanation:
(x - 4)(x - 1)
= x² - x - 4x + 4
= x² - 5x + 4.
Answer:
1 Regroup terms.
2x²−5=−6x
2 Move all terms to one side.
2x² −5+6x=0
3 Use the Quadratic Formula.
x=
−6+2√19/ 4
−6−2√19 /4
4 Simplify solutions
x=
-3−√19 /2
-3+√19/3
Decimal Form: 0.679449, -3.679449
Step-by-step explanation:
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