It is given that:
Monthly Rent = A
Total Money Paid to Landlord = Y
The landlord requires initial payment to include:
- 1st month's rent
- 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
Answer:
common denominator is 15
10/15-3/15
7/15
In order to make the denominators of both 15 multiply 3 by 5 and 5 by three. Whats done to the bottom has to be done to the top as well.
Step-by-step explanation:
In 12 days, Wendy will do the both again.
Step-by-step explanation:
Given,
Wendy goes to gym every 4 days
Wendy swims every 6 days
We will find the least common multiple of both the numbers in order to determine the number of days in which she will do both.
4 = 4,8,12,16,20,....
6 = 6,12,18,24,.....
Therefore;
The least common multiple of 4 and 6 is 12.
Thus,
In 12 days, Wendy will do the both again.
Keywords: multiples, LCM
Learn more about multiples at:
#LearnwithBrainly
Answer:
x = -5.7778
Step-by-step explanation:
1) 8x + 8 + x -2 = 48 (You multiply the -4 into both -2x and -2, thus getting rid of the brackets)
2) 9x + 6 = -48 (Add the two values of x (8x + x) and then subtract the 2 from 8 = 6)
3) 9x =-46 - 6 (Move the 6 mover, which will change its sign from a (+) to a (-6))
4) 9x = -52 (Do the expression, and you get -52)
5) x = -52 / 9 (Isolate the x, by dividing both sides by it)
6) x = -5.7778 (Round the answer)
Answer:
L ≈ 1023.0562
Step-by-step explanation:
We are given;
x = t² - 2t
dx/dt = 2t - 2
Also, y = t^(5)
dy/dt = 5t⁴
The arc length formula is;
L = (α,β)∫√[(dx/dt)² + (dy/dt)²]dt
Where α and β are the boundary points. Thus, applying this to our question, we have;
L = (1,4)∫√[(2t - 2)² + (5t⁴)²]dt
L = (1,4)∫√[4t² - 8t + 4 + 25t^(8)]dt
L = (1,4)∫√[25t^(8) + 4t² - 8t + 4]dt
Using online integral calculator, we have;
L ≈ 1023.0562