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JulijaS [17]
3 years ago
7

Sasha has just gotten a new job in a nearby city. After comparison shopping, she found that renting a nice two-bedroom apartment

would cost around $800 per month. Her utilities would cost about $150 per month.
Sasha has enough money saved for a down payment, and she found that she can buy a three-bedroom house or condo with a mortgage payment of $1,000 per month, including taxes and homeowner's insurance. Her utilities would cost about $200 per month.

What is the advantage of buying the house over renting the apartment?

Sasha’s monthly expenses would be less for buying than for renting.
The extra expenses in the mortgage payment cover all maintenance and repairs.
Sasha’s down payment will likely be less if she decided to buy.
Sasha will own the house and earn equity as its value increases.
Mathematics
1 answer:
lina2011 [118]3 years ago
8 1

Answer:

Sasha’s down payment will likely be less if she decided to buy.

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Find all of the eigenvalues λ of the matrix A. (Hint: Use the method of Example 4.5 of finding the solutions to the equation 0 =
Svetradugi [14.3K]

Answer:

\lambda=8,\ \lambda=-5

Step-by-step explanation:

<u>Eigenvalues of a Matrix</u>

Given a matrix A, the eigenvalues of A, called \lambda are scalars who comply with the relation:

det(A-\lambda I)=0

Where I is the identity matrix

I=\left[\begin{array}{cc}1&0\\0&1\end{array}\right]

The matrix is given as

A=\left[\begin{array}{cc}3&5\\8&0\end{array}\right]

Set up the equation to solve

det\left(\left[\begin{array}{cc}3&5\\8&0\end{array}\right]-\left[\begin{array}{cc}\lambda&0\\0&\lambda \end{array}\right]\right)=0

Expanding the determinant

det\left(\left[\begin{array}{cc}3-\lambda&5\\8&-\lambda\end{array}\right]\right)=0

(3-\lambda)(-\lambda)-40=0

Operating Rearranging

\lambda^2-3\lambda-40=0

Factoring

(\lambda-8)(\lambda+5)=0

Solving, we have the eigenvalues

\boxed{\lambda=8,\ \lambda=-5}

8 0
3 years ago
The selling price of a shirt before sales tax 10$.the finial price of a shirt including sales tax is 12.5 .what is the rate of t
maw [93]
$11.25 because 10 times 1.125 is equal to 11.25
7 0
3 years ago
luis wants to buy a skateboard that usually sells for $79.99. all merchandise is discounted by 12%. what is the total cost of th
aivan3 [116]

<u>ANSWER: </u>

The total cost of the skate board is $74.61.

<u>SOLUTION: </u>

Given, Luis wants to buy a skateboard that usually sells for $79.99. all merchandise is discounted by 12%. luis has to pay a state sales tax of 6.75%.  

We need to find what is the total cost of the skateboard.

Final cost is nothing but original amount subtracted by discount and added with tax.

final cost = original cost – discount + sales tax

Original cost = $79.99

Discount = 12% of original cost

\begin{array}{l}{=12 \% \times 79.99} \\\\ {=\frac{12}{100} \times 79.99} \\\\ {=\frac{959.88}{100}} \\\\ {=9.5988}\end{array}

discount is $9.6 approximately

Sales tax = 6% of cost after discounting

\begin{array}{l}{=6 \% \times \text { (original cost - discount) }} \\\\ {=\frac{6}{100} \times(79.99-9.6)} \\\\ {=\frac{6}{100} \times(70.39)} \\\\ {=\frac{422.34}{100}} \\\\ {=4.2234}\end{array}

Sales tax is $4.22 approximately

Now, final cost = 79.99 – 9.6 + 4.22

= 84.21 - 9.6

= 74.61

Hence, the total cost of the skate board is $74.61

6 0
3 years ago
Simplify (b^4)^3. ❤️ SLAT*_^}
KiRa [710]

Answer:

b^1^2

Step-by-step explanation:

<em>First, multiply by exponent rule.</em>

<em>(x^y)^z=x^y^z</em>

<em>b^4^*^3</em>

<em>Then, multiply by the numbers from left to right.</em>

<em>4*3=12</em>

<em>b^1^2, </em><em>is the correct answer. </em>

6 0
3 years ago
Read 2 more answers
Please help I’ll give brainliest
s344n2d4d5 [400]

Answer:

R = 13%

Step-by-step explanation:

P = $4000

I = $780

T = 18 months = 18/12 years

I  = \frac{PRT}{100} \\\\780 = \frac{ 4000 \times R \times \frac{18}{12}}{100}\\\\780 = \frac{6000 \times R }{100}\\\\780 = 60R\\\\R = \frac{780}{60} = 13 \%

5 0
3 years ago
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