Answer:
1.1%
Step-by-step explanation:
cost price=1.10×12
=$13.20
selling price=(12-3)×1.45
=9×1.45
=$13.05
loss= cost price-selling price
=13.20-13.05
=0.15
loss percent=0.15/13.20×100
1.13636
1.1%
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The formula of an area of a circle with radius r:
Part A.
We have diameter of the circle d = 8 in. The diameter of a circle is equal two times length of a radius.
Therefore:
Calculate the area:
Answer: C. 16π square inches.
Part 2.
Look at the picture.
Total area:
Answer: C. 36π square inches
The number of more miles he needs to run to complete the race is 19 miles.
<h3 /><h3>How to find distance in miles?</h3>
He has run 7 miles from point a to point b of a race.
The entire race from point a to point c is 26 miles.
Therefore, the number of more miles he needs to run to complete the race is as follows:
let
x = the more miles he needs to run
Hence,
x = 26 - 7
x = 19 miles
Therefore, he needs to run 19 more miles to complete the race.
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Answer:
The complete solution is
Step-by-step explanation:
Given differential equation is
3y"- 8y' - 3y =4
The trial solution is
Differentiating with respect to x
Again differentiating with respect to x
Putting the value of y, y' and y'' in left side of the differential equation
The auxiliary equation is
The complementary function is
y''= D², y' = D
The given differential equation is
(3D²-8D-3D)y =4
⇒(3D+1)(D-3)y =4
Since the linear operation is
L(D) ≡ (3D+1)(D-3)
For particular integral
[since ]
[ replace D by 0 , since L(0)≠0]
The complete solution is
y= C.F+P.I