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Lynna [10]
3 years ago
14

Matthew paid $779,000 for a ten-room apartment building nine years ago. the building has lost 2.7% of its value every year. matt

hew keeps all of his rooms rented out continually, charging a monthly rent of $810 per room. upkeep on the building costs matthew $35,900 every year. if matthew sells the building, what will his total profit be, to the nearest hundred dollars
Mathematics
2 answers:
Sloan [31]3 years ago
6 0
The initial cost of the building is $779,000 and has lost 2.7% of its value every year for 9 years. So the remaining amount is:

$779,000 (1 - 0.027)^9 = $608,909.88

and an upkeep of $35,900 per year:

$608,909.88 - (35,900 x 9) = $285,809.88

He had it rented for $810 per room per month:

$285,809.88 + (810 x 10 x 12 x 9) = 1,160,629.88

Therefore, his profit if he will sell the building is:

$ 1,160,629.88 - $ 779,000 = $381,609.88


Mekhanik [1.2K]3 years ago
5 0

Answer:

D. $381,600

Step-by-step explanation:

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Answer:

(0,5) and (10,0)

Step-by-step explanation:

The equation of the straight line is given by 2x + 4y = 20 .......... (1)

Now, point (0,5) satisfies the equation (1) as putting x = 0, we will get y = 5.

Now, point (0,10) does not satisfy the equation (1) as putiing x = 0, we get y = 5 ≠ 10

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Now, point (1,4) does not satisfy the equation (1) as putiing x = 1, we get y = 4.5 ≠ 4

Again, point (5,0) does not satisfy the equation (1) as putiing y = 0, we get x = 10 ≠ 5

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3 years ago
The graph of y = x^2 -3 is translated in 4 units to the left of the graph to give the graph A
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Answer:

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b) The equation of graph B is y = -x² + 3

Step-by-step explanation:

* Let us talk about the transformation

  • If the function f(x) reflected across the x-axis, then the new  function g(x) = - f(x)
  • If the function f(x) reflected across the y-axis, then the new  function g(x) = f(-x)
  • If the function f(x) translated horizontally to the right  by h units, then the new function g(x) = f(x - h)
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In the given question

∵ y = x² - 3

∵ The graph is translated 4 units to the left

→ That means substitute x by x + 4 as 4th rule above

∴ y = (x + 4)² - 3

→ Solve the bracket to put it in the form of y = ax² + bx + c

∵ (x + 4)² = (x + 4)(x + 4) = (x)(x) + (x)(4) + (4)(x) + (4)(4)

∴ (x + 4)² = x² + 4x + 4x + 16

→ Add the like terms

∴ (x + 4)² = x² + 8x + 16

→ Substitute it in the y above

∴ y = x² + 8x + 16 - 3

→ Add the like terms

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∵ The graph A is reflected in the x-axis

→ That means y will change to -y as 1st rule above

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→ Multiply the bracket by the negative sign

∴ y = -x² + 3

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