Answer:
$1.25
Step-by-step explanation:
2 × $1 = $2
4 × 1 = 4
1 × 1 = 10
$2 + 4 + 10
$2.14
$2.14 - $0.89
$1.25
Answer:
976cm^2
Step-by-step explanation:
Surface area:
Ara of cross section x 2 = 1/2 x 2 x 14 x 24 = 14 x 24 = 336
Area of base = 14 x 10 = 140
area of slope x 2 = 25 x 10 x 2 = 500
Total surface area = 500+140+336 = 640 + 336 = 973cm^2
Answer:
145,146,147
Step-by-step explanation:
Let x be the first number
x+1 is the next number
x+1 +1 is the next number
The sum of these three number is
x + x+1 + (x+1+1) = 438
Combine like terms
3x +3 = 438
Subtract 3 from each side
3x+3-3 = 438-3
3x= 435
Divide by 3
3x/3=435/3
x = 145
x+1 =146
x+1+1 = 147
Answer:
160 units and $6400
Step-by-step explanation:
We have that the cost per x unit is: 20 * x + 0.25 * x ^ 2
the price per unit is 100, therefore revenue for each unit would be 100 * x
However:
profit = revenue - cost
p (x) = 100 * x - 20 * x - 0.25 * x ^ 2
for the maximum value profit we must derive and equal 0:
p '(x) = 100 - 20 - 0.5 * x
0 = 80 - 0.5 * x
0.5 * x = 80
x = 80 / 0.5
x = 160
Therefore, the maximum profit occurs when there are 160 units, replacing we have:
p (x) = 100 * 160 - 20 * 160 - 0.25 * 160 ^ 2
p (x) = 6400
that is to say that the $ 6400 is the maximum profit.
