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e-lub [12.9K]
3 years ago
10

Annual rent $ 7,380

Mathematics
1 answer:
jeyben [28]3 years ago
7 0

Answer:

Part A:

Rent = $7380

Mortgage payments = $9800

Insurance = $145

Taxes, insurance, maintenance = 1780+1050 = $2830

Loss of Interest on security deposit = (650*6%) = $39

Interest lost on down payment and closing cost = (4,500*6%) = $270

Growth in equity = $225

Annual appreciation = $1700

Tax savings for mortgage interest = (9,575*28%) = $2,681

Tax savings for property taxes = (1,780*28%) = $498

Total rental cost = 7,380+145+39=7,564 dollars

Total buying costs = 9,800+2,830+270-225-1,700-2,681-498=7,796 dollars

Part B:

You should consider rent because the cost of renting is less than the cost of buying.

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Match the real-world problem to its constant of proportionality.
OleMash [197]

Answer:

6.12

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4.12

12

Step-by-step explanation:

If y ∝ x, then y = kx.

So, the constant of proportionality is given by k = \frac{y}{x}

Case 1:

$18.36 for 3 pizzas

Therefore, the constant of proportionality is \frac{18.36}{3} = 6.12

Case 2:

$4.17 for 3 pounds of bananas.

Hence, the constant of proportionality is \frac{4.17}{3} = 1.39

Case 3:

$16.48 for 4 pounds of potatoes.

Hence, the constant of proportionality is \frac{16.48}{4} = 4.12

Case 4:

2 cups of flour to make 24 cookies.

Hence, the constant of proportionality is \frac{24}{2} = 12 (Answer)

7 0
3 years ago
3 3/5 x 1/4 *Simply your answer if you can
3241004551 [841]

Answer:

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Step-by-step explanation: hope this helps

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3 years ago
Point B has coordinates ​(​1,2​). The​ x-coordinate of point A is -8. The distance between point A and point B is 15 units. What
Xelga [282]

Answer:

The possible coordinates of point A are A_{1} (x,y) = (-8, 14) and A_{2} (x,y) = (-8, -10), respectively.

Step-by-step explanation:

From Analytical Geometry, we have the Equation of the Distance of a Line Segment between two points:

l_{AB} = \sqrt{(x_{B}-x_{A})^{2} + (y_{B}-y_{A})^{2}} (1)

Where:

l_{AB} - Length of the line segment AB.

x_{A}, x_{B} - x-coordinates of points A and B.

y_{A}, y_{B} - y-coordinates of points A and B.

If we know that l_{AB} = 15, x_{A} = -8, x_{B} = 1 and y_{B} = 2, then the possible coordinates of point A is:

\sqrt{(1+8)^{2}+(2-y_{A})^{2}} = 15

81 + (2-y_{A})^{2} = 225

(2-y_{A})^{2} = 144

2-y_{A} = \pm 12

There are two possible solutions:

1) 2-y_{A} = -12

y_{A} = 14

2) 2 - y_{A} = 12

y_{A} = -10

The possible coordinates of point A are A_{1} (x,y) = (-8, 14) and A_{2} (x,y) = (-8, -10), respectively.

8 0
3 years ago
One angle of a right triangle measures 8°. What is the measure of the other acute angle?
Ivahew [28]

Answer:

  82°

Step-by-step explanation:

The acute angles in a right triangle are complementary. The other one is ...

  90° -8° = 82°

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2 years ago
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