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Leviafan [203]
3 years ago
10

You (or your parents) have a realized income of $1,046.78/every 2 weeks. How much should the housing expense budget be to stay w

ithin acceptable limits?
Mathematics
2 answers:
cestrela7 [59]3 years ago
6 0
<span>Housing expenses would be equal to $586.20.</span>
Luden [163]3 years ago
4 0

Answer:

The answer is $586.20

Step-by-step explanation:

You (or your parents) have a realized income of $1,046.78/every 2 weeks.

That means monthly salary is = 2\times1046.78=2093.56

As nothing is specified, so we can consider the 28/36 Rule to solve this question. This rule states that a household should spend a maximum of 28% and no more than 36% on total debt service.

So, 28% of 2093.56 is = 0.28\times2093.56=586.19≈$586.20

Hence, the answer is $586.20

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Use the formula h(t)=−16t2+v0t+h0 , where v0 is the initial velocity and h0 is the initial height. How long will it take for the
Rama09 [41]

<em><u>Question:</u></em>

Britney throws an object straight up into the air with an initial velocity of 27 ft/s from a platform that is 10 ft above the ground. Use the formula h(t)=−16t2+v0t+h0 , where v0 is the initial velocity and h0 is the initial height. How long will it take for the object to hit the ground?

1s   2s   3s   4s

<em><u>Answer:</u></em>

It takes 2 seconds for object to hit the ground

<em><u>Solution:</u></em>

<em><u>The given equation is:</u></em>

h(t) = -16t^2 + v_0t+h_0

Initial velocity = 27 feet/sec

h_0 = 10\ feet

Therefore,

h(t) = -16t^2 +27t+10

At the point the object hits the ground, h(t) = 0

-16t^2 +27t+10 = 0\\\\16t^2-27t-10=0

Solve by quadratic formula,

\mathrm{For\:a\:quadratic\:equation\:of\:the\:form\:}ax^2+bx+c=0\mathrm{\:the\:solutions\:are\:}\\\\x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}\\\\\mathrm{For\:}\quad a=16,\:b=-27,\:c=-10:\quad \\\\t=\frac{-\left(-27\right)\pm \sqrt{\left(-27\right)^2-4\cdot \:16\left(-10\right)}}{2\cdot \:16}\\\\t = \frac{27 \pm \sqrt{1369}}{32}\\\\t = \frac{27 \pm 37}{32}\\\\We\ have\ two\ solutions\\\\t = \frac{27+37}{32}\\\\t = \frac{64}{32}\\\\t = 2\\\\And\\\\t = \frac{27-37}{32}\\\\t = -0.3125

Ignore, negative value

Thus, it takes 2 seconds for object to hit the ground

7 0
3 years ago
Please help, i need to raise my grade
Dmitrij [34]

Answer:

r=\dfrac{v^2}{a}

Step-by-step explanation:

To isolate r, we're going to need to do some algebraic manipulation.

a=\dfrac{v^2}{r}

Multiply both sides by r:

a\cdot r=v^2

Divide both sides by a:

r=\dfrac{v^2}{a}

Hope this helps!

5 0
3 years ago
What’s the correct answer for this?
zalisa [80]

Answer:

AP = 14

Step-by-step explanation:

According to secant-secant theorem

(CP)(PD)=(BP)(AP)

7×12=6×AP

AP = 84/6

AP = 14

3 0
3 years ago
Find the values of x and y.
Arlecino [84]

Answer:

C

Step-by-step explanation:

2x + 1 = 85 (Alternate Interior Angles Theorem)

2x = 84

<em>x = 42</em>

(3y + 5) + (2x + 1) = 180 (Linear Pair Theorem)

3y + 5 + (85) = 180

3y + 5 = 95

3y = 90

<em>y = 30</em>

7 0
3 years ago
Read 2 more answers
According to the data, the mean quantitative score on a standardized test for female college-bound high school seniors was 500.
Sveta_85 [38]

Answer:

6.68% of the female college-bound high school seniors had scores above 575.  

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 500

Standard Deviation, σ = 50

We are given that the distribution of score is a bell shaped distribution that is a normal distribution.

Formula:

z_{score} = \displaystyle\frac{x-\mu}{\sigma}

P(scores above 575)

P(x > 575)

P( x > 575) = P( z > \displaystyle\frac{575 - 500}{50}) = P(z > 1.5)

= 1 - P(z \leq 1.5)

Calculation the value from standard normal z table, we have,  

P(x > 575) = 1 - 0.9332= 0.0668 = 6.68\%

6.68% of the female college-bound high school seniors had scores above 575.

7 0
3 years ago
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