(2x +3x) + (-5+10) = 5x +5 combine by terms
Answer: x = 12
Step-by-step explanation:
Answer:
8
Step-by-step explanation:
Given:
Annuity at time (n + 1) = 13.776
(1 + i)ⁿ = 2.476
Now,

here, d = 
thus,

or
d = 0.1071
therefore,
d = 
or
0.1071 = 
or
0.1071 + 0.1071i = i
or
i = 0.1199
now,
(1 + i)ⁿ = 2.476
or
(1 + 0.1199)ⁿ = 2.476
1.1199ⁿ = 2.476
taking log both sides
n × log(1.1199) = log(2.476)
or
n = 8.006 ≈ 8
hence,
the answer is 8
Answer:
Equation: 7x + 8x = 180
x = 12
∠CBA = 84
∠CFH = 96
Step-by-step explanation:
We can see that ∠CBA = ∠CFE and ∠CBD = ∠CFH.
We know that the sums of two angles on a straight line are going to be equal to 180.
∠CBA = 7x
∠CFH = 8x
To find the value of x, we must do the following:
7x + 8x = 180
15x = 180
15x/15 = 180/15
x = 12
Now we just substitute to find the angle measures:
∠CBA = 7 · 12 = 84
∠ CFH = 8 · 12 = 96
we have
p (a) =2/5 p(b)=1/4 ( a and b=1/25
Remember that
we know that for two independent events A,B.
⇒ P(A∩B)=P(A)*P(B)
we have
P(A)=2/5 and P(B)=1/4
so
P(A∩B)=(2/5)*(1/4)=2/20=1/10
that means
<h2>events are dependent</h2>