The Raymond couple wants to find an apartment in Abu Dhabi, UAE but can’t decide which option is better for long term usage. A 1 BHK apartment costs AED 64,000 yearly to rent and all utilities (Water, Electricity, etc…) are included. However, another 1 BHK apartment can be purchased outright without any utilities included for AED 640,000. The utilities for both apartments cost 11400 AED on average per year. How many years will it take until the house bought outright starts to become cheaper? (Reminder: One has utilities included while the other apartment has to still pay for it)
Help, please!

Answer:

Raul's errors are in the application of the distributive property(he applied it wrongly), in not respecting the precedence of operations, and in the multiplication of two terms with the same base(we add the exponent).

Step-by-step explanation:

Distributive property:

The distributive property of multiplication is:

a*(b + c) = a*b + a*c

Precedence of operations:

First multiplication, then addition.

Multiplication of terms with the same base:

The multiplication of h*h = h², which Raul missed.

The correct simplification is given by:

[tex]-[3h + 7h(2-h)] = -[3h + 14h - 7h^2] = -[17h - 7h^2]=7h^2 - 17h[/tex]

Answer:

he should have  worked out 7h(2 - h) first before adding the 3h. (first step)

2nd step he multiplied the 2 by -10h  but he also should have multiplied the -h by the -10h ( Distributive law)

Step-by-step explanation:

Got it right on edge

Answer:

a) equilateral

b) Isosceles

c) scalene

d) right angle

e) acute angle

f) obtuse angle

It is correct answer

Answer: -30

Step-by-step explanation:

Answer:

15= -3m-9

15+9 = -3m

24 = -3m

-8= m

Therefore the m value is -8

Answer:

=0.5(1.1) - 0.5(2x)+2.4x-2.10

=0.55-x+2.4x-2.10

=1.4x-1.55

Ans A

Answer:

[tex]f\left(x\right)=\cos\left(x\right)\: and\:\: g\left(x\right)=\left(2x^2-1\right)[/tex]

Step-by-step explanation:

We have, [tex]H\left(x\right)=\cos\left(2x^2-1\right)H ( x )[/tex]

                          [tex]=\cos\left(2x^2-1\right)[/tex]

And   [tex]H\left(x\right)=\left(f\:\circ\:g\right)\left(x\right)H ( x ) = \left(f\:\circ\:g\right)( x )[/tex]

        [tex]\Rightarrow \left(f\:\circ\:g\right)(x)=\cos\left(2x^2-1\right)[/tex]

Now, [tex]f\left(x\right)=\cos\left(x\right)[/tex]   and [tex]g\left(x\right)=\left(2x^2-1\right)[/tex]

Here,

The midpoint of segment QR is M

m(-2,9) x3=-2,y3=9

Q=(-8,12)x1=-8,y1=12

R=x2,y2

we know that,

[tex]\tt{ m=\dfrac{Q+R}{2} }[/tex] ⠀

So,

x3=[tex]\tt{\dfrac{x1+x2}{2} }[/tex] ⠀

[tex]\tt{-2=\dfrac{-8+x2}{2} }[/tex] ⠀

[tex]\tt{-2×2=-8+x2 }[/tex] ⠀

[tex]\tt{x2=8-4 }[/tex] ⠀

[tex]\tt{x2=4 }[/tex] ⠀

x2=4

now we find the y coordinate y2.

y3=[tex]\tt{\dfrac{y1+y2}{2} }[/tex] ⠀

[tex]\tt{9=\dfrac{12+y2}{2} }[/tex] ⠀

[tex]\tt{9×2=12+y2 }[/tex] ⠀

[tex]\tt{y2=18-12 }[/tex] ⠀

[tex]\tt{y2=6 }[/tex] ⠀

y2=6

Now we get the two coordinate of R

so,

R=(x2,y2)=(4,6)

Answer:

You should use Brainly so that we can help.

Step-by-step explanation:

Answer:

Do it.

Step-by-step explanation:

Answer: 1) on the x axis.

Step-by-step explanation:

Every coordinate ,where y is 0, lies on the x axis.

Answer:

83, 94, 105

Step-by-step explanation:

it's going up by 11

Answer:

83

Step-by-step explanation:

Its adding 11 each time

add like terms. y's and x's go with other y's and x's

Answer: -8x^6

Step-by-step explanation:

-32x^8/4x^2=

-32x^6/4=

so the answer is -8x^6

Answer:

625

Step-by-step explanation:

(-5)(-5)(-5)(-5) = 625

Answer:

yes it would go down a little bit but not much, so it nothing to worry about to much

Step-by-step explanation:

Answer:

The sample is the 150 randomly selected customers.

Step-by-step explanation:

When you survey a group of people, to gauge whaever you are interested, these people are what makes your sample.

In this question:

Nick surveys 150 randomly selected customers to determine whether or not they were satisfied.

So the sample is the 150 randomly selected customers.

Answer:

Step-by-step explanation:

Help me

Answer:

y=15+x

Step-by-step explanation:

Answer:

(1, -2)

Easy Question for me

Answer:

7x+8+8x+7+45=180

15x+15+45=180

15x+60=180

15x=120

x=8

7×8+8= 64

Answer:

Use the formula

Step-by-step explanation:

c2=a2−b2...The formula generally associated with the focus of an ellipse is c2=a2−b2 where c is the distance from the focus to center , a is the distance from the center to a vertex and b is the distance from the center to a co-vetex .

Answer:

0.3 or in fraction form 3/10

Step-by-step explanation:

3/4    =   3/10

2.5             1

Answer:

36

Step-by-step explanation:

Break it into parts to make it easier. The equation would become 16+12+8 which is 36

Brainliest is highly appreciated and goodluck!

Answer:

x = 68

Step-by-step explanation:

[tex]3x-18=186\\\\3x=186+18\\\\3x=204\\\\x= \frac{204}{3}\\\\x=68[/tex]

Answer:

A sample of 11352 is needed.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].

The margin of error is given by:

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

For this problem, we have that:

400 cards, 120 cases were correct. So

[tex]p = \frac{120}{400} = 0.3[/tex]

95% confidence level

So [tex]\alpha = 0.05[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].

How large a sample n would you need to estimate p with margin of error 0.01 and 95% confidence

We would need a sample of size n, and n is found when [tex]M = 0.01[/tex]. So

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

[tex]0.01 = 2.325\sqrt{\frac{0.3*0.7}{n}}[/tex]

[tex]0.01\sqrt{n} = 2.325\sqrt{0.3*0.7}[/tex]

[tex]\sqrt{n} = \frac{2.325\sqrt{0.3*0.7}}{0.01}[/tex]

[tex](\sqrt{n})^2 = (\frac{2.325\sqrt{0.3*0.7}}{0.01})^2[/tex]

[tex]n = 11351.8[/tex]

Rounding up

A sample of 11352 is needed.