6 numbers per cube
if one is a 1, then the other one has to be a 2, 4 or 6 to be an odd sum
1+2=3, 1+4=5,1+6=7
since there are 3 numbers you can get that would be a 3/6 ( reduce to 1/2) probability
so 1/2 probability
Let the first angle be x and the second be y.
Supplementary angles add up to 180, so:
x + y = 180
Also, as given in the statement:
x = 4y - 25
Substituting into the first equation:
4y - 25 + y = 180
5y = 205
y = 41
x = 4(41) - 25
x = 139
One angle is 139° and the other is 41°.
The future value of a monthly deposit A=125.30 at annual interest i=0.015 per annum for n=35 years compounded monthly is given by
FV=A((1+i/12)^(12*n)-1)/(i/12)
=125.30(1+0.015/12)^(12*35)/(0.015/12)
=$69156.05
The annuity formula is given by
Payment = r(PV)/(1-(1+r)^(-n))
where
r=interest rate per period = 0.015/12
PV= $69156.05
n=20*12=240
so
Payment = (0.015/12)<span>69156.05/(1-(1+0.015/12)^(-240))
= $333.71 per month.</span>
Point-slope form:
y − b = m(x − a<span>), where m is the slope and (a, b) is a point on the graph.
Here that would look like:
y - 2 = 12(x - (-8))
y - 2 = 12(x + 8)
The answer:
</span>y - 2 = 12(x + 8)
Hope this helps.
The value of n is 4 and yz is 1 if y is between x and z i.e. if y, x and z are collinear points.
According to the given question.
We have some linear equations.
xy = 4n + 3
yz = 2n - 7
and
xz = 20
Since, y is between x and z. Which means y, x and z are collinear points.
Therefore,
xy + yz = xz
⇒ 4n + 3 + 2n - 7 = 20
⇒ 6n -4 = 20
⇒ 6n = 20 + 4
⇒ 6n = 24
⇒ n = 24/6
⇒ n = 4
Therefore,
yz = 2n - 7 = 2(4) - 7 = 8- 7 = 1
Hence, the value of n is 4 and yz is 1 if y is between x and z i.e. if y, x and z are collinear points.
Find out more information about collinear points here:
brainly.com/question/1593959
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