Answer:
Savings = $13
Step-by-step explanation:
$0.12 = 1 kilowatt-hour
So,
For Top-Freezer Refridgerator:
$0.12 × 529 = 1 × 529 kilowatt-hour
$63.48 = 529 kilowatt-hour
For Side-by-Side Refridgerator:
$0.12 × 634 = 1 × 634 kilowatt-hour
$76.08 = 634 kilowatt-hour
Savings = Side-by-Side Refridgerator - Top-
Freezer Refridgerator
Savings = $( 76.08 -63.48 )
Savings = $12.6
Savings = $13
Integrating with shells is the easier method.
<em>V</em> = 2<em>π</em> ∫₁³ <em>x</em> (√<em>x</em> + 3<em>x</em>) d<em>x</em>
That is, at various values of <em>x</em> in the interval [1, 3], we take <em>n</em> shells of radius <em>x</em>, height <em>y</em> = √<em>x</em> + 3<em>x</em>, and thickness ∆<em>x</em> so that each shell contributes a volume of 2<em>π</em> <em>x</em> (√<em>x</em> + 3<em>x</em>) ∆<em>x</em>. We then let <em>n</em> → ∞ so that ∆<em>x</em> → d<em>x</em> and sum all of the volumes by integrating.
To compute the integral, just expand the integrand:
<em>V</em> = 2<em>π</em> ∫₁³ (<em>x </em>³ʹ² + 3<em>x</em> ²) d<em>x</em>
<em>V</em> = 2<em>π</em> (2/5 <em>x </em>⁵ʹ² + <em>x</em> ³) |₁³
<em>V</em> = 2<em>π</em> ((2/5 ×<em> </em>3⁵ʹ² + 3³) - (2/5 × 1⁵ʹ² + 1³))
<em>V</em> = 4<em>π</em>/5 (9√3 + 64)
Answer:
Parliament has, first and foremost, the task of examining bills and passing them into laws.
It would be a straight line
Answer:
Q(t) = 14.8(1.392)t
Explanation:
Let us consider a decay model defined as Q=abt, where t is the time, b is the rate, a is a constant and Q is the quantity at time t
Now, at t=0 quantity = 14.8
Substituting t=0 in our model,
14.8=a
Now, at t=1, quantity = 20.61
Substituting t=1 in our model,
20.61 = 14.8b1,So,
b= 1.392
At t=2,
Q = 14.8(1.392)2 = 28.66 which satisfies our table,
at t=3,
Q = 14.8(1.392)3 = 39.92 which again satisfies the table value