Answer:
Third degree polynomial with a constant of -36
Answer:
Step-by-step explanation:
From the given information,
Suppose
X represents the Desktop computer
Y represents the DVD Player
Z represents the Two Cars
Given that:
n(X)=275
n(Y)=455
n(Z)=405
n(XUY)=145
n(YUZ)=195
n(XUZ)=110
n((XUYUZ))=265
n(X ∩ Y ∩ Z) = 1000-265
n(X ∩ Y ∩ Z) = 735
n(X ∪ Y) = n(X)+n(Y)−n(X ∩ Y)
145 = 275+455 - n(X ∩ Y)
n(X ∩ Y) = 585
n(Y ∪ Z) = n(Y) + n(Z) − n(Y ∩ Z)
195 = 455+405-n(Y ∩ Z)
n(Y ∩ Z) = 665
n(X ∪ Z) = n(X) + n(Z) − n(X ∩ Z)
110 = 275+405-n(X ∩ Z)
n(X ∩ Z) = 570
a. n(X ∪ Y ∪ Z) = n(X) + n(Y) + n(Z) − n(X ∩ Y) − n(Y ∩ Z) − n(X ∩ Z) + n(X ∩ Y ∩ Z)
n(X ∪ Y ∪ Z) = 275+455+405-585-665-570+735
n(X ∪ Y ∪ Z) = 50
c. n(X ∪ Y ∪ C') = n(X ∪ Y)-n(X ∪ Y ∪ Z)
n(X ∪ Y ∪ C') = 145-50
n(X ∪ Y ∪ C') = 95
The formula for simple interest =
I = PRT
P = initial capital = $7000
R = rate = 0.02 in this case
T = time = our variable we are solving for
Thus substitute the parts into the equation we get
280 = 7000*0.02*T
Solving for T we get A or 2 years
Answer:
The selling price of the puppy is $284.50.
Step-by-step explanation:
In the present case, the puppy's original selling price is $ 339.50. At this price a discount of $ 55 is made, that is, that amount is subtracted from the original price, modifying the sale price.
Therefore, since 339.50 - 55 results in 284.50, the puppy's sale price goes from $ 339.50 to $ 284.50, taking the aforementioned discount.
Answer:
x = 6
Step-by-step explanation:
Please write this as y = x^2 - 12x + 7 to indicate the exponentiation.
The coefficients of these three terms are a, b and c: 1, -12 and 7.
The equation of the axis (line) of symmetry is
-b -(-12)
x = --------- = ----------- = 6
2a 2(1)