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$40.00 x 3 = $120.00
$20.00 x 2 = $40.00
$120.00 + $40.00 = $160.00
$400.00 - $160.00 = $240.00
There is $240.00 left in the account.
Answer:
The maximum profit of $ 10277.32____ can be made when the selling price of the dog food is set to $ _34___ per bag.
Step-by-step explanation:
Profit = Revenue - Cost
P(x) = R(x) -C(x)
= -31.72x^2 + 2,030x
-( -126.96x + 26,391)
Distribute the minus sign
= -31.72x^2 + 2,030x+126.96x - 26,391
Combine like terms
= -31.72 x^2 + 2156.96 x - 26391
This is a parabola. It is facing downwards. The maximum profits is at the vertex ( where the max is)
vertex = h = -b/2a = -(2156.96)/(2*-31.72) = -2156.96/-63.44=34
Evaluate P(x) at x=34 to determine the profit
P(34) = -31.72 (34)^2 + 2156.96 (34) - 26391
-36668.32+73336.64-26391
10277.32
Answer:
The perimeter is the distance all the way around the outside of a 2D shape. To calculate the perimeter, sum the lengths of all the sides.
Therefore, perimeter of the triangle = (2x - 8) + (2x + 5) + (30 - 3x)
Collect like terms: 2x + 2x - 3x - 8 + 5 + 30
Combine like terms: x + 27
Therefore, perimeter of triangle = x + 27
We are told that the perimeter is 25:
x + 27 = 25
Subtract 27 from both sides: x = -2
If x = -2, then the side with equation 2x - 8 = (2 x -2) - 8 = -12
A length cannot be negative, therefore the perimeter cannot equal 25.
Z-score if Tobi scored 145 on an iq test with a mean of 100 and a standard deviation of 15 is 3.
According to the given question.
Tobi scored 145 marks on an iq test.
⇒ x = 145
Mean, μ = 100
Standard deviation, σ = 15
As we know that,
A Z-score is a numerical measurement that describes a value's relationship to the mean of a group of values.
And it is calculated by formula
Z = x -μ/σ
Where,
Z is a Z-score
μ is mean
x is the observed value
Therefore,
The Z-score if Tobi scored 145 on an iq test with a mean of 100 and a standard deviation of 15
= 145 - 100/15
= 3
Hence,Z-score if Tobi scored 145 on an iq test with a mean of 100 and a standard deviation of 15 is 3.
Find out more information about Z-score here:
brainly.com/question/15016913
#SPJ4
Internal angles sum: 180(sides-2) = 180
5x = 180 - (48 + 90 + 17)
x = 25/5
x = 5
answer: 5
proof:
(90 + 48) + (5(5)+17) = 180
