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GrogVix [38]
4 years ago
14

Two college friends rent an apartment. They must pay the landlord two months' rent and $500 security deposit when they sign the

lease. The total amount they pay the landlord is $2800. How much does it cost to rent the apartment for one month?
Mathematics
1 answer:
lianna [129]4 years ago
6 0

Answer:it costs $1150 to rent the apartment for one month.

Step-by-step explanation:

Let x represent the cost to rent the apartment for one month.

They must pay the landlord two months' rent and $500 security deposit when they sign the lease. This means that the security deposit is constant and independent of the number of months that they want to pay for.

The total amount they pay the landlord is $2800. Therefore

2x + 500 = 2800

2x = 2800 - 500 = 2300

x = 2300/2 = 1150

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The answer is 7x^2+7x-3.
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2 years ago
Assume that in the absence of immigration and emigration, the growth of a country's population P(t) satisfies dP/dt = kP for som
Morgarella [4.7K]

Answer:

A) Differential equation for population growth in case of individual immigration is:

\frac{dP}{dt}=kP+r

B) Differential equation for population growth in case of individual emigration is:

\frac{dP}{dt}=kP-r

Step-by-step explanation:

Population growth rate  in the absence of immigration and emigration is given as:

\frac{dP}{dt}=kP--(1)

A) When individuals are allowed to immigrate:

Let r be the constant rate of individual immigration given that r >0.

Differential equation for population growth in this case is:

\frac{dP}{dt}=kP+r

B) In case of individual emigration:

Let r be the constant rate of individual emigration given that r >0.

Differential equation for population growth in this case is:

\frac{dP}{dt}=kP-r

8 0
3 years ago
I need the answer to this problem.
Viefleur [7K]
I would say 3:1, but i'm not positive! if i need to explain my reasoning, i can.
4 0
4 years ago
Read 2 more answers
What is the missing constant term in the perfect square that starts with
Vedmedyk [2.9K]

Answer:

49

Step-by-step explanation:

The expression is given below:

x^2 + 14x

Let y be the constant that will make the expression a perfect square. Therefore, the expression can be written as:

x^2 + 14x + y

Applying the formula b^2 = 4ac, we can easily obtain the value of y as shown below:

x^2 + 14x + y

Coefficient of x^2 (a) = 1

Coefficient of x (b) = 14

Constant (c) = y

b^2 = 4ac

14^2 = 4 x 1 x c

196 = 4c

Divide both side by the coefficient of c i.e 4

c = 196/4

c = 49

Thus, 49 must be added to the expression to make it a perfect square.

3 0
3 years ago
What is the length of the hypotenuse? If necessary, round to the nearest tenth.
Papessa [141]

<u>Answer:</u>

  • The value of c is 2√2 or about 2.8.

<u>Step-by-step explanation:</u>

<u>We can find the hypotenuse (c) with the help of Pythagoras Theorem.</u>

  • => c² = 2² + 2²
  • => c² = 4 + 4
  • => c² = 8
  • => c = √8
  • => c = √2 x 2 x 2
  • => c = 2√2

<u>If you want further simplification, seek for explanation below.</u>

  • => c = 2√2
  • => c = 2 x √2
  • => c = 2 x 1.414
  • => c = 2.828 = 2.8 (Estimated)

Hence, <u>the value of c is 2√2 or about 2.8.</u>

Hoped this helped.

BrainiacUser1357

6 0
2 years ago
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