Answer:
3a - b - c
Step-by-step explanation:
a - 2b - (c-(2a+b))
a - 2b - c + (2a+b)
3a - b - c
Using the De Moivre's Theorem, let us work out for the fourth roots of 81(cos 320° + i sin 320° ).
zⁿ = rⁿ (cos nθ + i sin nθ)
z⁴ = 81(cos 320° + i sin 320° )
z = ∜[81(cos 320° + i sin 320° )]
= ∜[3^4 (cos 4*80° + i sin 4*80°)]
= 3(cos 80° + i sin 80°)
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As given,
Loan amount is = $45000
Rate of interest = 8.5%
So, Tony's mortgage will attract an interest of:
= $3825 (this is yearly)
And for 1st month it will be = 
= $318.75
As given, the first month's payment is $390.60 and this covers the interest Additional amount ($390.60 - $318.75 = $71.85) is a payment against the principle.
Hence, the new principle after the 1st month is $71.85 less than $45000
= 45000-71.85 = $44928.15
Hence, the last option $44928.15 is the correct answer.
Answer:
Apply the distributive property.
4
x
+
4
⋅
−
3
−
2
(
x
−
1
)
>
0
Multiply
4
by
−
3
.
4
x
−
12
−
2
(
x
−
1
)
>
0
Apply the distributive property.
4
x
−
12
−
2
x
−
2
⋅
−
1
>
0
Multiply
−
2
by
−
1
.
4
x
−
12
−
2
x
+
2
>
0
Answer:
18
Step-by-step explanation:
8+4x=80
4x=72
x=18
Check
8+4x=80
8+4(18)=80
8+72=80
80=80
