Answer:
1040
Step-by-step explanation:
20,000 is how much you have and you would multiply 20,000*5.2% or 20,000*.052 (converting a percent to a decimal.)
(a) 4
(b) y = sqrt(9 - (9/16)x^2)
The best guess to the formula using knowledge of the general formula for an ellipse is:
x^2/16 + y^2/9 = 1
(a). An ellipse is reflectively symmetrical across both the major and minor axis. So if you can get the area of the ellipse in a quadrant, then multiplying that area by 4 would give the total area of the ellipse. So the factor of 4 is correct.
(b). The general equation for an ellipse is not suitable for a general function since it returns 2 y values for every x value. But if we restrict ourselves to just the positive value of a square root, that problem is easy to solve. So let's do so:
x^2/16 + y^2/9 = 1
x^2/16 + y^2/9 - 1 = 0
x^2/16 - 1 = - y^2/9
-(9/16)x^2 + 9 = y^2
9 - (9/16)x^2 = y^2
sqrt(9 - (9/16)x^2) = y
y = sqrt(9 - (9/16)x^2)
Answer: Option C. 8,064 pounds
Solution:
Unit weight: U=63 pounds/foot^3
Total Weight: W=?
W=U*V
Volume: V
Length: l=8 feet
Width: w=4 feet
Height: h=4 feet
V=l*w*h
Replacing the knwon values in the formula above:
V=(8 feet)*(4 feet)*(4 feet)
V=128 feet^3
Replacing in the formula of total Weight:
W=U*V
W=(63 pounds/foot^3)*(128 feet^3)
W=8,064 pounds
Answer:
y = 3/2x + 6
Step-by-step explanation:
2/3 y - 4 = x
2/3y = x + 4
y = 3/2 * (x + 4)
y = 3/2x + 6
