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2 years ago

Maxine earns $1250 dollars a month. whats is the maximum amount she should use for budget for housing?

Mathematics

1 answer:

jok3333 [9.3K]2 years ago

3 0

Answer:

The National Housing Act of 1937 established guidelines for maximum rents for low-income families. Originally the maximum rent threshold was set at 20%, however this increased to 30% in 1981 (and has remained at this level ever since). This figure is used to determine how much of your gross monthly income you should spend on rent.

The 28% Rule is used for determining how much of your gross monthly income should be used for a mortgage, however the FHA's threshold is a little higher at 31% of your gross monthly income on a mortgage.

Renting:

30% of $1,250 = 0.3 × 1250 = $375

Mortgage 28% Rule:

28% of $1,250 = 0.28 × 1250 = $350

Mortgage 31% FHA:

31% of $1,250 = 0.31 × 1250 = $387.50

Therefore, discounting the higher FHA's threshold, the maximum amount to budget for housing is:

$375 (if renting)
$350 (if buying)

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A department store buys 300 shirts for a total cost of 7,200 and sells them for $30 each. Find the percent markup.

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Step-by-step explanation:

7200 ÷ 300 = 24

30 - 24 = 6

6/24 × 100/1 = 25%

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What is the top half of a fraction called

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The top half is called the numerator.
The bottom is called the denominator.

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3 years ago

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Location is known to affect the number, of a particular item, sold by an auto parts facility. Two different locations, A and B,

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We have two samples, A and B, so we need to construct a 2 Samp T Int using this formula:

$\displaystyle \overline {x}_1 - \overline {x}_2 \ \pm \ t^{*} \sqrt{\frac{s_1^2}{n_1} + \frac{s_2^2}{n_2} }$

In order to use t*, we need to check conditions for using a t-distribution first.

Random for both samples -- NOT STATED in the problem ∴ proceed with caution!
Independence for both samples: 130 < all items sold at Location A; 180 < all items sold at Location B -- we can reasonably assume this is true
Normality: CLT is not met; n < 30 for both locations A and B ∴ proceed with caution!

Since 2/3 conditions aren't met, we can still proceed with the problem but keep in mind that the results will not be as accurate until more data is collected or more information is given in the problem.

Solve for t*:

We need the tail area first.

$\displaystyle \frac{1-.9}{2}= .05$

Next we need the degree of freedom.

The degree of freedom can be found by subtracting the degree of freedom for A and B.

The general formula is df = n - 1.

df for A: 13 - 1 = 12
df for B: 18 - 1 = 17
df for A - B: |12 - 17| = 5

Use a calculator or a t-table to find the corresponding t-score for df = 5 and tail area = .05.

t* = -2.015

Now we can use the formula at the very top to construct a confidence interval for two sample means.

$\overline {x}_A=39$
$s_A=8$
$n_A=13$
$\overline {x}_B = 55$
$s_B=2$
$n_B=18$
$t^{*}=-2.015$

Substitute the variables into the formula: $\displaystyle \overline {x}_1 - \overline {x}_2 \ \pm \ t^{*} \sqrt{\frac{s_1^2}{n_1} + \frac{s_2^2}{n_2} }$ .

$39-55 \ \pm \ -2.015 \big{(}\sqrt{\frac{(8)^2}{13} +\frac{(2)^2}{18} } } \ \big{)}$

Simplify this expression.

$-16 \ \pm \ -2.015 (\sqrt{5.1453} \ )$
$-16 \ \pm \ 3.73139$

Adding and subtracting 3.73139 to and from -16 gives us a confidence interval of:

$(-20.5707,-11.4293)$

If we want to interpret the confidence interval of (-20.5707, -11.4293), we can say...

We are 90% confident that the interval from -20.5707 to -11.4293 holds the true mean of items sold at locations A and B.

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2 years ago

Suppose a triangle has two sides of length 42 and 35, and that the angle between these two sides is 120 degrees. What is the len

FrozenT [24]

Answer:

Option D

Step-by-step explanation:

The questions which involve calculating the angles and the sides of a triangle either require the sine rule or the cosine rule. In this question, the two sides that are given are adjacent to each other and the given angle is the included angle. This means that the angle is formed by the intersection of the two lines. Therefore, cosine rule will be used to calculate the length of b. The cosine rule is:

b^2 = a^2 + c^2 - 2*a*c*cos(B).

The question specifies that a=42, B=120°, and c=35. Plugging in the values:

b^2 = 42^2 + 35^2 - 2(42)(35)*cos(120°).

Simplifying gives:

b^2 = 4459.

Taking square root on the both sides gives b = 66.78 (rounded to the two decimal places).

This means that the length of the third side is 66.78 units!!!

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3 years ago

State if the triangles in each pair are similar. If so, state how you know they are similar and

SOVA2 [1]

Answer:

is there anything else that can help?

Step-by-step explanation:

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