Answer:
a) 235.62 cm³ (nearest hundredth)
b) 2. tripling the height to 9 cm, while the radius remains 5 cm, gives the most volume
Step-by-step explanation:
volume of a cylinder = 
(where r is the radius and h is the height)
Given:
a) ⇒ volume = 
cm³ (nearest hundredth)
b) Given:
⇒ volume = 
cm³ (nearest hundredth)
Given:
⇒ volume = 
cm³ (nearest hundredth)
Therefore, 2) tripling the height to 9 cm, while the radius remains 5 cm, gives the most volume
We would apply the formula for determining simple interest which is expressed as
I = PRT/100
I is the interest
P is the principal or initial amount
R = interest rate
T = time in years
From the information given,
P = 1200
r = 18
Since there are 12 months in a year,
T = 9/12 = 0.75
Thus,
I = (1200 x 18 x 0.75)/100
Interest = $162
Answer:
6x^3(x+2)(x-7)
Step-by-step explanation:
1st step: factor out common term, 6x^3(x^2 - 5x - 14)
2nd step: Factor x^2 - 5x - 14, (x + 2)(x - 7)
3rd step: simplify, 6x^3(x+2)(x-7)
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