Answer:
A. 14x14x28
B. The maximum volume is 5488 cuibic inches
Step-by-step explanation:
The problem states that the box has square ends, so you can express volume with:
Using the restriction stated in the problem to get another equation you can substitute in the one above:
Substituting <em>y</em> whit this equation gives:
Now find the limit of <em>x</em>:
Find the length:
You can now calculate the maximum volume:
Answer:
Step-by-step explanation:
SV = RV
2x+2 = 10
x = 4
r² = RV² + VZ² = 10²+7.5² = 156.25
UZ = √[r²- (QR/2)²] = √[156.25 - 10²] = √56.25 = 7.5
Answer:
(p • 10) - (p • 2)
Step-by-step explanation:
To be doubly sure of your answer, do the actual mult.:
p(10-2) = 10p - 2p. This is equivalent to (p • 10) - (p • 2) (Answer D).
9514 1404 393
Answer:
y -1 = -1(x -2)
Step-by-step explanation:
The slope of the line through the two points can be found from the slope formula:
m = (y2 -y1)/(x2 -x1)
m = (5 -1)/(-2 -2) = 4/-4 = -1
The point-slope equation for a line through point (h, k) with slope m is ...
y -k = m(x -h)
You have (h, k) = (2, 1) and m = -1. Putting these values into the form gives ...
y -1 = -1(x -2)
_____
<em>Additional comment</em>
Your problem statement already has two of the three values filled in, so you only need to enter the x-coordinate of the first point: 2.
The correct answer is $1820.
The formula for continuously compounded interest is
A = Pe^(rt), where P is the amount of principal, r is the interest rate expressed as a decimal number, and t is the number of years. Using our information, we have:
A = 950*e^(0.065*10) = 1819.76 ≈ 1820
