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lawyer [7]
3 years ago
6

Math Question :

Mathematics
1 answer:
saw5 [17]3 years ago
7 0
Let x = amount of mortgage (aka the amount by the bank)

25% of the monthly income of $3000 is 0.25*3000 = 750 dollars

So using this rule, the family can pay up to $750 per month on mortgage

1% of the amount loaned (x) is equal to this figure, so

0.01*x = 750
0.01*x/0.01 = 750/0.01
x = 75000

Therefore, the most expensive mortgage this family can afford is $75,000. Anything higher and they go over budget.
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Please help immediately!!
JulijaS [17]

Answer:

hjd

Step-by-step explanation:

3 0
3 years ago
Given that x and y are positive integers, solve the equation x² - 4y² = 13​
zvonat [6]
<h3>Answer:  x = 7 and y = 3</h3>

=====================================================

Explanation:

Apply the difference of squares rule

x² - 4y² = 13

x² - (2y)² = 13

(x - 2y)(x + 2y) = 13

Since x and y are positive integers, this means x-2y and x+2y are both integers as well.

The value 13 is prime. Its only factors are 1 and 13

Since the above equation shows 13 factoring into x-2y and x+2y, then we have two cases:

  • A) x-2y = 1 and x+2y = 13
  • B) x-2y = 13 and x+2y = 1

----------------

Let's consider case A

We have this system of equations

\begin{cases}x-2y = 1\\x+2y = 13\end{cases}

Add the equations straight down

  • x+x becomes 2x
  • -2y+2y becomes 0y = 0 which goes away
  • 1+13 becomes 14

Therefore we have 2x = 14 solve to x = 7

From here, plug this into either equation to solve for y

x-2y = 1

7 - 2y = 1

-2y = 1-7

-2y = -6

y = -6/(-2)

y = 3

You should get the same result if you used x+2y = 13

----------------

Since we've found that x = 7 and y = 3, notice how case B is not possible

Example:  x-2y = 13 becomes 7-2(3) = 13 which is false.

Also, x+2y = 1 would turn into 7+2(3) = 1 which is also false.

-----------------

Let's check those x and y values in the original equation

x² - 4y² = 13

7² - 4*(3)² = 13

49 - 4(9) = 13

49 - 36 = 13

13 = 13

The answer is confirmed.

4 0
2 years ago
A rabbit population doubles every 4 weeks. There are currently five rabbits in a restricted area. If t represents the time, in w
Mumz [18]
98 days = (98 ⁄ 7) weeks = 14 weeks 

<span>Po = initial population = 5 </span>

<span>Ƭ = doubling time in weeks </span>

<span>t = elapsed time in weeks </span>

<span>P{t} = population after "t" weeks </span>


<span>    P{t} = (Po)•2^(t ⁄ Ƭ) </span>

<span>    P{t} = (Po)•2^(t ⁄ 4) </span>

<span>    P{t} = 5•2^(t ⁄ 4) </span>

<span>    P{14} = (5)•2^(14 ⁄ 4)   …   t = 14 weeks = 98 days </span>

<span>    P{14} = 56   …   population after 14 weeks</span>
6 0
3 years ago
there are 1,392 chairs in the auditorium. the seats are arranged 29 in each row. How many rows of 29 seats are there?
scoray [572]
There are 48 rows in the auditorium

7 0
3 years ago
Read 2 more answers
Graph 2 + 3y = 6. Please hurry
vitfil [10]

Answer:

Step-by-step explanation:

5 0
3 years ago
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