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Sveta_85 [38]
3 years ago
6

                                         Three friends are renting

Mathematics
1 answer:
nexus9112 [7]3 years ago
7 0

It is given that:

Monthly Rent = A

Total Money Paid to Landlord = Y

The landlord requires initial payment to include:

  • 1st month's rent
  • \frac{1}{2} month's rent or 50% of monthly rent for Security Deposit
  • 40% of monthly rent for  utility bills
  • 5% of monthly rent for health club
  • 13% of monthly rent per person for other services

Also, Total Amount Paid to the Landlord = $2574

Number of People Sharing the Apartment = 3

Basis the above information,

Y = (100% * A) + (50% * A) + (40% * A) + (5% * A) + (13% * A * 3)

⇒ Y = A + (0.5 * A) + (0.4 * A) + (0.05 * A) + (0.39 * A)

⇒ Y = A + (0.5 * A) + (0.4 * A) + (0.05 * A) + (0.39 * A)

⇒ Y = 2.34 * A

Substituting the value of Y to determine A

⇒ 2,574 = 2.34 * A

⇒ A = 1,100

Hence, the monthly rent is $1,100

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RoseWind [281]

The common ratio of both the formulas is 3 and 2. The first formula is explicit and the second is the recursive formula.

<h3>What is the recursive rule?</h3>

A rule is defined such that its definition includes itself.

1.

The given sequence is

-2, -6, -18, -54

Common ratio ;

r = -6 / -2 = 3

a _ n =-2 (3) ^{n-1}

This given formula is the explicit formula.

2.

The given sequence is

4, 8, 16, 32

Common ratio ;

r = 8 / 4 = 2

a_n = a_{n-1}.2\\\\a _1 = 4

This given formula is the recursive formula.

Learn more about the recursive rule and explicit rules here:

brainly.com/question/12620593

#SPJ1

5 0
2 years ago
Can someone pls help me with this?! I’m stumped lol
forsale [732]

Answer:

  • $3.50
  • 24

Step-by-step explanation:

The graph shows you the value stored on the card dropped by $14 when Gina rented 4 videos. Thus the cost of each one is ...

... $14/4 = $3.50

Gina now has $84 on the card, so can rent an additional ...

... $84/$3.50 = 24 . . . . videos

_____

Division is a way to do "repeated subtraction." That is, if we were to subtract $3.50 from $84 repeatedly, we would find we could do it 24 times.

6 0
3 years ago
If the area of a circle measures 16 pi cm2, what is the circumference of the circle in terms of pi
Fiesta28 [93]

Answer: 8 pi

Step-by-step explanation: So we know that area of a circle is pi times r^2 so if we reverse that formula it would be square root of 16 pi which would be 4 pi and divide by pi so the radius is 4. And we know that the formula for circumference is 2 times pi times r, so 2 times 4 times pi is 8 pi. 8 pi is the cIrcumference! :)

7 0
3 years ago
The length of a triangel is three times its with.if the perimiter is at its most 112 centemeters,witch is the greates possible v
iris [78.8K]
I am assuming you do not mean The length of a triangle and you mean The length of a rectangle because the answer you given are the formula for the perimeter of a rectangle. With that said, the answer is D<span>.2w+2*(3w)112

The perimeter of a rectangle can be found by the following equation:

2L + 2W = P
OR 
P = 2L + 2W
The equation </span>P = 2L + 2W is read perimeter = 2 times Length + 2 times width

The Question:
<span>The length of a rectangle is three times its width.if the perimeter is at its most 112 centimeters ,which is the greatest possible value of the the width.
</span>
The length of a rectangle
This means the perimeter 

is
The word is means to use an equal sign

three times its width
This means 3 times w or 3w 
The w = width

perimeter is at its most 112
This means <=
<= means less than or equal to

Ok so lets look at our equation 

2L + 2W = P
2w + 2(3w) <= 112

5 0
3 years ago
Simplify: 42x^7-(-11x^7)
vodka [1.7K]

Answer: 53x^7

Step-by-step explanation:

Subtracting a negative is like adding.

8 0
3 years ago
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