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Mrrafil [7]
3 years ago
15

Carlos didn't earn enough for the last apartment he was looking at, so he is still searching. He found one that costs $625 per m

onth, but they require that the cost of rent be no greater that a third of his monthly income. If he must earn at least 3 times the cost of his rent, what is the smallest amount of money that Carlos needs to make per month to be approved to move in?
Mathematics
1 answer:
tresset_1 [31]3 years ago
5 0

Answer:

$1875

Step-by-step explanation:

Given the information:

  • An apartment costs: $625 per month
  • They require that the cost of rent be no greater that a third of his monthly income
  • The must earn at least 3 times the cost of his rent

=> the smallest amount of money that Carlos needs to make per month to be approved to move in:

= 3 times of $625

= 3*$625

= $1875

because 625  is exactly 1/3 of $1875

Hope it will find you well.

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6 0
3 years ago
Solve the proportion and round your answer to the nearest tenth.
GalinKa [24]

Answer:

y = 1.1

Step-by-step explanation:

Proportion is a statement that two ratios are equal.

It can be written in two ways:

  • Two equal fractions \frac{a}{b} = \frac{c}{d}
  • Two equal sides a: b = c: d.

We can use cross products to find a missing term in it.

Let us solve the question

∵ The proportion statement is \frac{7.7}{15.4} = \frac{y}{2.2}

→ Use the  cross multiplication to find y

∵ y × 15.4 = 7.7 × 2.2

∴ 15.4y = 16.94

→ Divide both sides by 15.4 to find y

∵ \frac{15.4y}{15.4} = \frac{16.94}{15.4}

∴ y = 1.1

<em>No need to round it to the nearest tenth because the answer has no hundredth to round it to the tenth</em>

8 0
3 years ago
You are given the parametric equations x=2cos(θ),y=sin(2θ). (a) List all of the points (x,y) where the tangent line is horizonta
vladimir1956 [14]

Answer:

The solutions listed from the smallest to the greatest are:

x:  -\sqrt{2}   -\sqrt{2}  \sqrt{2}  \sqrt{2}

y:      -1         1     -1     1

Step-by-step explanation:

The slope of the tangent line at a point of the curve is:

m = \frac{\frac{dy}{dt} }{\frac{dx}{dt} }

m = -\frac{\cos 2\theta}{\sin \theta}

The tangent line is horizontal when m = 0. Then:

\cos 2\theta = 0

2\theta = \cos^{-1}0

\theta = \frac{1}{2}\cdot \cos^{-1} 0

\theta = \frac{1}{2}\cdot \left(\frac{\pi}{2}+i\cdot \pi \right), for all i \in \mathbb{N}_{O}

\theta = \frac{\pi}{4} + i\cdot \frac{\pi}{2}, for all i \in \mathbb{N}_{O}

The first four solutions are:

x:   \sqrt{2}   -\sqrt{2}  -\sqrt{2}  \sqrt{2}

y:     1        -1        1     -1

The solutions listed from the smallest to the greatest are:

x:  -\sqrt{2}   -\sqrt{2}  \sqrt{2}  \sqrt{2}

y:      -1         1     -1     1

6 0
3 years ago
Find a and b. Help me please.
Yakvenalex [24]
Hi there. Actually, the image that you have provided us with is a little bit blurry so, if you can make the image a little bit clearer, then I can help you with this question.
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4 0
3 years ago
William and Debra Pierce are celebrating their 20th anniversary by having a reception at a local reception hall. They have budge
erica [24]

The greatest number of people that William and Debra may invite and still stay within their budget is 63.

<h3>What is an equation?</h3>

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

Since William and Debra have budgeted $2,500 for their reception. Therefore, their total expenses should be equal to the total expenses in the reception.

Budget = Total expenses

Budget = Reception hall Cleanup charge + $38 per person fee

Let the number of people invited to the party be represented by x,

$2,500 = $100 + $38(x)

2500 = 100 + 38x

2500 - 100 = 38x

2400 = 38x

x = 2400 / 38

x = 63.157 ≈ 63

Hence, the greatest number of people that William and Debra may invite and still stay within their budget is 63.

Learn more about Equation here:

brainly.com/question/14686792

#SPJ1

5 0
2 years ago
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