<span>Income earned over one year is principal * int rate so we have
0.12*A + 0.13*B +0.14*C = 400
and A + B + C = 3000
and A+B = C</span>
Step-by-step explanation:
the inner top vertex angle seems to be 90°, so x = 90° too. all angles around a single point in one side of a line are in total 180°.
also, remember, all angles inside a triangle always sum up to 180°.
so, the third inner angle of the triangle is
180 - 90 - 40 = 50°.
that makes z = 180 - 50 = 130°
and y = 180 - 40 = 140°.
Answer:
A fair six-sized die is rolled. Find the probability of getting at least a 4.
There are 6 outcomes and three of them are 4, 5 or 6, so the probability of greater than or equal to 4 is 3/6=½.
Answer:
See deduction below
Step-by-step explanation:
I will use the known inference rules (modus ponens, etc)
From d) and b),
~r
q → r
Therefore ~q (by Modus Tollens)
From a), and our previous conclusion:
p ∨ q
~q
Therefore p (by disjunctive sillogism)
Until know, we have concluded p and ~q. By e)
~q → u ∧ s
~q
Therefore u∧s. (Modus Ponens)
From p, u∧s, and c)
u∧s
s (simplification)
p (previous conclusion)
p∧s (adjuntion)
p∧s→t (Modus Ponens)
Therefore t, as we wanted to conclude.