How much pain would you find? hopefully none, since you'd have lots of pens and pencils :).
Area of the canvas: 96 = 2 · W² + 2 · W L,
where W is the width and L is the length of a back and a top side. Two square sides have area W².
2 W L = 96 - 2 W² /:2
W L = 48 - W²
L = ( 48 - W² ) / W.
The inside volume of the shelter:
V = L · W · W = L · W²
V = W² · ( 48 - W² ) / W ;
V = 48 W - W³
We have to find the derivative:
V ` = 48 - 3 W²
48 - 3 W² = 0 ( for V max. )
3 W² = 48
W² = 48 : 3
W² = 16; W = √16; W = 4 ft.
L = ( 48 - 16 ) / 4 = 32 / 4 = 8 ft.
Answer: The length of the shelter for which the volume inside is maximized is 8 ft.
Step-by-step explanation:
y = 2x + 6 means that the letter Y equals 2x plus 6. So add 2 and 6 which gives you 8 and you are with this: 8x or 8(x). If your teacher gave you the value of X multiply 8 by x since the eight is outside its parenthesis. Once you have that answer or just 8X put the result of 8x in the y box and the 8x in the x box (skip count from ther of which the value ur teacher gave u)
Use the same context with the next problem. Hope this helps.
1 gallon= 4 quarts so if you were to have 1/2 a gallon and 2 quarts, you would have an equal amount so the containers hold the same amount
Answer:
$12,800.85
Step-by-step explanation:
Use the FV formula ; FV= PV(1+r) ^t
r = discount rate = 5%/2 = 2.5% or 0.025 as a decimal
t = total duration of investment = 5 *2 = 10 since it's semiannual compounding
PV = Amount deposited in present value terms = $10,000
FV = 10,000* (1+0.025)^10
FV = 10,000 *1.2800845
FV = 12,800.845
Therefore, Sarah will have $12,800.85 in 5 years.
