Answer:
240 - 5x and the candle will be at 0 mm in 48 seconds
Step-by-step explanation:
<u>Step 1: Convert words into an expression</u>
A 240 mm candle is burning and shrinks in height 5mm per second
<em>240 - 5x</em>
<u>Step 2: If needed solve for x</u>
240 - 5x - 240 = 0 - 240
-5x / -5 = -240 / -5
<em>x = 48</em>
Answer: 240 - 5x and the candle will be at 0 mm in 48 seconds
Graph Below: (0, 240) shows the initial start and (48, 0) shows the ending point
Answer:
- north and south sides are 38 8/9 ft long
- east and west sides are 17.5 ft long
Step-by-step explanation:
<u>Short answer</u>: area is maximized when half the cost is spent in each of the orthogonal directions. This means the east and west sides will total $350 at $20 per foot, so will be 17.5 feet. The north and south sides will total $350 at $9 per foot, so will be 38 8/9 feet.
The dimensions that maximize the area are 17.5 ft in the north-south direction by 38 8/9 ft in the east-west direction.
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<u>Long answer</u>: If x represents the length of the north and south sides, and y represents the length of the east and west sides, then the total cost is ...
10y +10y +2x +7x = 700
9x +20y = 700
y = (700 -9x)/20
We want to maximize the area:
A = xy = x(700 -9x)/20
We can do this by differentiating and setting the derivative to zero:
dA/dx = 700/20 -9x/10 = 0
350 -9x = 0 . . . . multiply by 10
x = 350/9 = 38 8/9
y = (700 -9(350/9))/20 = 350/20 = 17.5
The north and south sides are 38 8/9 ft long; the east and west sides are 17.5 ft long to maximize the area for the given cost.
Answer:
19.99+ 0.29m = 73.93
Step-by-step explanation:
bc u add 19.99 extra to every m for .29 (.29m)= and the total is 73.93
Answer: 5,280
Step-by-step explanation:
