This part of the plane is a triangle. Call it
. We can find the intercepts by setting two variables to 0 simultaneously; we'd find, for instance, that
means
, so that (4, 0, 0) is one vertex of the triangle. Similarly, we'd find that (0, 5, 0) and (0, 0, 20) are the other two vertices.
Next, we can parameterize the surface by
so that the surface element is
Then the area of
is given by the surface integral
Answer:
$13.20/hr
Step-by-step explanation:
A 10% wage increase would amount to 0.10($12) = $1.20. Adding this increase to the starting rate $12/hr results in $13.20/ hr.
A faster way in which to do this is shown below:
Wages after a 10% increase = (1.10)($12/hr) = $13.20/hr
a)
V=p+prt
now we solve for P
V=P (1+rt)
Divide both sides by (1+rt)
P=V÷(1+rt)...answer
b)
P=V÷(1+rt)
P=3,000÷(1+0.06×5)
P=2,307.69
Answer:
1.5 feet
Step-by-step explanation:
Bob wants to plant a 7 foot by 10 foot garden.
Area = 
square feet
He wants to make a uniform border of petunias around the outside and still have 28 square feet to plant tomatoes and roses in the middle.
Means we have to factor 28 in a way that the length and width is less than 10 and 7.
28 = 2 x 2 x 7
Means 4 feet can be width and 7 feet the length of the area where tomatoes need to be planted.
So, we have 
feet less than outer garden means at each side 
feet decreases.
Similarly, we have 
feet less width and at each side it is 1.5 feet.
Therefore, the border of petunias will be 1.5 feet wide on all sides.
