Answer:
x= 3
Step-by-step explanation:
8x - 9 =15
+9 on both sides
8x = 15 + 9
Add 15 and 9 to get 24
8x = 14
Divide 8 by both sides
x = 3
The problem statement gives the correct answers for parts (a) and (b). The total number of roots of the characteristic polynomial is the dimension of the matrix: 6. The eigenvalues are the zeros of the characteristic polynomial, 3 (multiplicity 2), 6 (multiplicity 3), and -1.
(c) The matrix is not invertible when one or more eigenvalues is zero. None of yours are zero, so the matrix is invertible.
Answer:
∠AEI ≅ ∠DEH because vertical angles are congruent; rotate ΔHED 180° around point E, then translate point D to point A to confirm ∠IAE ≅ ∠HDE.
Step-by-step explanation:
tbh im not suuper sure but my educated guess is that by looking at it. Good Luck!
Listed price = $1.4 million
Down payment = 20% of $1.4 million = 0.2 x 1,400,000 = 280,000
Amount left to pay = $1.4 million - 280,000 = $1,120,000
Present value of an annuity is given by PV = P(1 - (1 + r/t)^-nt) / r
where: PV = $1,120,000
r = 5% = 0.05
t = 12
n = 30 years.
1,120,000 = P(1 - (1 + 0.05/12)^-(12 x 30)) / 0.05
1,120,000 x 0.05 = P(1 - (1 + 1/240)^-360)
56,000 = P(1 - 0.2238)
P = 56,000 / 0.7761 = 72,148.83
Therefore, the monthly payment is $72,148.83
Answer:
Third option: 
Step-by-step explanation:
<h3>
The correct exercise is attached.</h3>
The equation given is:
The steps to find the value of "x" are shown below:
1. Add 2 to both sides of the equation:
2. Descompose 9 and 27 into their prime factors:
3. Substitute them into the equation:
4. Knowing that If 
, then 
, we get:
5. Apply Distributive property:
6. Add 2 to both sides:
7. Divide both sides of the equation by 2:
