Answer :
= 2x² − 10x
Step-by-step explanation:
= 2x(x − 5)
= (2x)(x + −5)
= (2x)(x) + (2x)(−5)
= 2x² − 10x
The present value of an annuity is given by
where: PV is the current value of the annuity, P is the periodic payment, r is the apr, t is the number of compounding in one year and n is the number of years.
Thus, given that PV = $51,800; r = 7.8% = 0.078; t = 12; n = 4.
Therefore, the <span>monthly payment is $1,259.73</span>
Answer:
Step-by-step explanation:
Given that 30% of all students who have to buy a text for a particular course want a new copy (the successes!), whereas the other 70% want a used copy.
Each purchaser is independent of the other and there are only two outcomes
X - no of persons who prefer new copies is Bin (15, 0.3)
a) E(x) = np =
Var(x) = npq =
Std dev (x) = 1.775
b)
c)
d) h(X) = revenue when x of 15 purchasers want new copies
E(h(x)) = 100(E(x) = 450
Here h(x) = 100x
Hence E(100x) = 100E(X)
Answer:
D) √3/3
Step-by-step explanation:
The coordinates of the point at the angle π/6 are shown as (√3/2, 1/2). The tangent of the angle is the ratio of the y-coordinate to the x-coordinate:
tan(π/6) = (1/2)/((√3)/2) = 1/√3 = (√3)/3 . . . . matches choice D
114:42
209:77
304:122
399;147