That would be an independent variable.
Answer:
Points of intersection: (1.225,-1.58) and (1.225,1.58)
Step-by-step explanation:
Given
Required
The region area
Plot the graphs of and
Make y the subject in both equations
Square both sides
Rewrite
Take square roots
So, we have:
Take square roots
So, we have:
The point of intersection is:
Square both sides
Collect like terms
Divide by 2
Take square roots
So, the point of intersection is at: (1.225,-1.58) and (1.225,1.58)
<em>See attachment</em>
From the attached image, we can see that the curves do not enclose
Hence:
Answer:
432 square feet
Step-by-step explanation:
We know perimeter of rectangle is 2(length + width)
we already know that length is 8 yards
and perimeter is 84 feet
we need to find width first
then
we find area of garden by using formula
area of rectangle = length * width
first we need to convert yards into feet as perimeter is in yards
1 yard = 3 feet
8 yards = 3*8 feet = 24 feet
now we plug value of length and perimeter in formula
perimeter = 2(length + width)
84 = 2(24 + width)
84/2 = 24 + width
=> 42 = 24 + width
=> width = 42 - 24 = 18
Thus, width of garden is 18 feet
now
area of Jordan's garden = length * width = 24* 18 feet square
area of Jordan's garden = 432 square feet
Answer:
x² + (y-74)² = 4900
Step-by-step explanation:
Circle equation: (x-h)² + (y-k)² = r²
"h" refers to horizontal shifts while "k" refers to vertical shifts. If the center of the wheel is directly above the origin of the rectangular plane and the entire wheel is 4 ft. from the ground then:
- h = 0
- k = 74 (the radius + 4 ft.)
- r = 70
So plugging those into the equation of circles, we get the answer above.
Answer:
$1600 invested in 9% fund
$700 invested in 4% fund
Step-by-step explanation:
Let
amount invested in 9% account be "x"
so
amount invested in 4% account would be "2300 - x"
The profit from the account would be the percentage (in decimal) multiplied with the amount invested in that account. So,
<u>Profit in 9% account:</u>
9% = 9/100 = 0.09
0.09 * x
0.09x
<u>Profit in 4% account:</u>
4% = 4/100 = 0.04
0.04(2300-x)
92 - 0.04x
Total profit = 0.09x + 92 - 0.04x
This is equal to 172. We equate this and find x:
Now,
2300 - x = 2300 - 1600 = 700
Hence,
$1600 invested in 9% fund
$700 invested in 4% fund