To solve this question, I did an equation:
0.75x + 1.20y = 120
0.75(95) + 1.20(35) = 120
Then multiply:
71.25 + 42 = 120
Now to check:
71.25 + 42 = 113.25
Answer: 120 - 113.25 = $6.75 Hope this helps
Answer:
Cov(X, Y) =0.029.
Step-by-step explanation:
Given that :
The noise in a particular voltage signal has a constant mean of 0.9 V. that is μ = 0.9V ............(1)
Also, the two noise instances sampled τ seconds apart have a bivariate normal distribution with covariance.
0.04e–jτj/10 ............(2)
Having X and Y denoting the noise at times 3 s and 8 s, respectively, the difference of time = 8-3 = 5seconds.
That is, they are 5 seconds apart,
τ = 5 seconds..............(3)
Thus,
Cov(X, Y), for τ = 5seconds = 0.04e-5/10
= 0.04e-0.5 = 0.04/√e
= 0.04/1.6487
= 0.0292
Thus, Cov(X, Y) =0.029.
Over time, compound interest at any rate will outperform simple interest. When the rates are nearly equal to start with, compound interest will be greater in very short order. Here, it takes less than 1 year for compound interest to give a larger account balance.
In 30 years, the simple interest will be
... I = P·r·t = 12,000·0.07·30 = 25,200
In 30 years, the compound interest will be
... I = P·(e^(rt) -1) = 12,000·(e^(.068·30) -1) ≈ 80,287.31
_____
6.8% compounded continuously results in more total interest
Answer:
C
Step-by-step explanation:
5.64/12= .47 but that box cost 10cents more than box B so you then you subtract .10 and get .37 per ounce for box B
Answer:
In isosceles triangle ABC, BM is the median to the base AC and Point D is on BM as shown below in the figure;
Median of a triangle states that a line segment joining a vertex to the midpoint of the opposing side, bisecting it
M is the median of AC
then by definition;
AM = MC ......[1]
In ΔAMD and ΔDMC
AM = MC [side] [By [1]]
[Angle]
DM =DM [Common side]
Side-Angle-Side postulate(SAS) states that if two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then these two triangles are congruent.
Then, by SAS,
CPCT stands for Corresponding parts of congruent triangles are congruent
By CPCT,
[Corresponding side] ......[2]
In ΔABD and ΔCBD
AB = BC [Side] [By definition of isosceles triangle]
BD= BD [common side]
AD = DC [Side] [by [2]]
Side-Side-Side(SSS) postulate states that if three sides of one triangle are congruent to three sides of another triangle, then the two triangles are congruent.
Therefore, by SSS theorem,
