Given:
Cost of dishwasher : 315 before sales tax
sales tax : 9.22%
Total cost = 315 * 1.0922 = 344.043
Average of 10 uses per week for the next 6 years before replacing it.
There are 52 weeks in a year.
10 uses per week * 52 weeks per year * 6 years = 3120 average uses
cost for water = 0.09 ; cost for electricity = 0.13 ; total cost per use = 0.22
0.22 * 3120 = 686.40 cost of use
purchase cost = 344.043
cost of use = <u>686.40</u>
lifetime cost 1,030.443
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Answer:
The required vector parametric equation is given as:
r(t) = <3cost, 3sint>
For 0 ≤ t ≤ 2π
Step-by-step explanation:
Given that
f(x, y) = <2y, -sin(y)>
Since C is a cirlce centered at the origin (0, 0), with radius r = 3, it takes the form
(x - 0)² + (y - 0)² = r²
Which is
x² + y² = 9
Because
cos²β + sin²β = 1
and we want to find a vector parametric equations r(t) for the circle C that starts at the point (3, 0), we can write
x = 3cosβ
y = 3sinβ
So that
x² + y² = 3²cos²β + 3²sin²β
= 9(cos²β + sin²β) = 9
That is
x² + y² = 9
The vector parametric equation r(t) is therefore given as
r(t) = <x(t), y(t)>
= <3cost, 3sint>
For 0 ≤ t ≤ 2π
56 is you answer you need.