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Doss [256]
3 years ago
15

Pete's monthly housing budget is $2,250. His monthly costs are $215.75 for insurance, $143.50 for utilities, and $273 for taxes.

Which of these houses has the highest monthly payment he can afford?
A.
house A; monthly payment of $1,327.18
B.
house B; monthly payment of $1,550.89
C.
house C; monthly payment of $1,790.25
D.
house D; monthly payment of $1,989.23
Mathematics
1 answer:
Afina-wow [57]3 years ago
6 0

Answer:

Option B.  house B; monthly payment of $1,550.89 is the correct answer.

Step-by-step explanation:

In order to calculate the highest payment Pete can afford we have to subtract his expenses from his housing budget.

Given

Total housing budget = $2250

Monthly costs = $215.75

Utilities = $143.50

Taxes = $273

First all expenses can be added together to subtract from the housing budget.

So

Monthly\ costs = Insurance\ +\ Utilities\ +\ taxes\\ = \$215.75 + \$143.50 + \$273\\= \$632.25

Now the total monthly cost will be subtracted from housing budget.

Amount\ for\ monthly\ payment = Housing\ budget - Monthly\ Expenses\\=\$2250\ -\ \$632.25\\=\$1617.75

Hence, he saves $1617.75 for monthly payment.

Looking at the options, C and D will be ruled out as both the quantities are greater than 1617.75

Option A and B both are smaller than 1617.75 but as $1,550.89>$1,327.18, Option B is the highest monthly payment Pete can afford.

Hence,

Option B.  house B; monthly payment of $1,550.89 is the correct answer.

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The distance between any point (x0,y0) on the parabola and the focus (m,n) is the same as the distance between (x0,y0) and the directrix line ax+by+c. The distance between (x0,y0) and focus (a,b) is \sqrt((x-m)^2+(y-n)^2). The distance between (x0,y0) and ax+by+c is |ax0+by0+c|/\sqrt(m^2+n^2).  Equalize these two expressions.
4 0
3 years ago
Help!!!! I really need help with this I don’t understand it!!!
Temka [501]

9514 1404 393

Answer:

  y = 5

Step-by-step explanation:

There are a number of ways to get there, but the short of it is that a horizontal line has the equation ...

  y = constant

The constant value must be chosen to match the y-value of points on the line. Here, that is 5. The equation of the line is ...

  y = 5

_____

<em>Another way</em>

You can write the equation in slope-intercept form if you know the slope and the y-intercept. The line crosses the y-axis at y = 5, so that is the value of the y-intercept.

The "rise" between the two points is 5 -5 = 0. The "run" between the two points is 5-0 = 5, so the slope is ...

  m = rise/run = 0/5 = 0

Then the slope-intercept equation is ...

  y = mx + b . . . . . where m is the slope and b is the y-intercept

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Simplifying, we get ...

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6 0
3 years ago
I need some help with this, I am supposed to solve for x
liq [111]

They are the same measurements, because:

from 10x + 5, first do vertical angle.

then, alternate interior angle,

then vertical angle again,

and another alternate interior angle.

For each vertical and alternate interior angles, the measurements stay the same.


Set them equal to each other, isolate and solve for x.

10x + 5 = 11x - 1

First, isolate the x. Subtract 10x from both sides, and add 1 to both sides

10x (-10x) + 5 (+1) = 11x (-10x) -1 (+1)

Simplify

5 + 1 = 11x - 10x

6 = x

x = 6

6 is your answer for x.

hope this helps

3 0
4 years ago
Drag a number to each box to complete the product. Numbers may be used more than once. 0.4764.7647.64764,760 Equation Product 47
ryzh [129]

Answer:could you  maybe simplify the question

Step-by-step explanation:

8 0
2 years ago
to find the product 3 3/8 * 4 1/9.tara rewrote 3 3/8 as 17/8 amd 4 1/9 as 13/9. she multiplies the fractions to find the product
Ymorist [56]

Answer:

The error Tara made is she rewrote incorrectly 3 3/8 as 17/8 and 4 1/9 as 13/9,

the corrected number can be rewrote as 3 3/8 as 27/8 and 4 1/9 as 37/9.

Step-by-step explanation:

To find the Product of:

3\frac{3}{8}\times 4\frac{1}{9}

The Number can be rewrote as,

\frac{3\times8+3}{8}\times \frac{4\times9+1}{9}\\\\\frac{24+3}{8}\times \frac{36+1}{9}\\\\\frac{27}{8}\times \frac{37}{9}

Tara made error here she rewrote the number incorrectly 3 3/8 as 17/8 amd 4 1/9 as 13/9.

Now multiplying the fraction we get

\frac{999}{72}

Because she rewrote incorrectly which led her answer to multiplication of fraction, the product too was incorrect which she wrote as 221/72.

3 0
3 years ago
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