All categories

2 years ago

You are seeking to be emancipated from your parents. You are

Mathematics

1 answer:

FromTheMoon [43]2 years ago

5 0

It will take 20 months for the cost to be same.

Step-by-step explanation:

Apartment A;

Security deposit = $1000

Each month cost = $1200

Let,

x be the number of months.

A(x) = 1000 + 1200x

Apartment B;

Security deposit = $1500

Each month cost = $1175

B(x) = 1500 + 1175x

The cost will be same when the functions are equal, therefore,

A(x) = B(x)

$1000+1200x=1500+1175x\\1200x-1175x=1500-1000\\25x=500$

Dividing both sides by 25

$\frac{25x}{25}=\frac{500}{25}\\x=20$

It will take 20 months for the cost to be same.

Keywords: function, division

Learn more about functions at:

#LearnwithBrainly

You might be interested in

13.

Artist 52 [7]

Answer:

5 units

Step-by-step explanation:

An isosceles triangle is a triangle with two legs that have the same length. The perimeter of a triangle is the sum of the lengths of all sides of the triangle. Now taking this into account, we know that:

2L + B = 14 units

Where:

L is the measure of one leg

B is the measure of the base

Since two legs are the same and the base is 1 less, this means the measure of each leg would be:

B = L -1

Now we have two equations:

2L + B = 14 units

B = L- 1

We plug one equation into the other and make 1 equation:

2L + (L-1) = 14 units

Get rid of the parentheses:

2L + L - 1 = 14

Combine like terms:

3L - 1 = 14

Add 1 to both sides of the equation:

3L - 1 + 1 = 14 + 1

3L = 15

Divide both sides by 3:

3L/3 = 15/3

L = 5

So the length of a leg is 5 units

Let's check!

B = L - 1

B = 5 - 1

B = 4

Then we use that to solve for the perimeter:

2L + B

2(5) + 4

10 + 4 = 14

7 0

2 years ago

While riding her bike to the ocean and back home 55 times, kimberly timed herself at 48min48⁢min, 48min48⁢min, 49min49⁢min, 46mi

Vsevolod [243]

Total of 5 times = 48 + 48 + 49 + 46 + 64 = 255 mins

Goal:
Average = 53 mins
Total = 53 x 6 = 318 mins

6th ride = 318 - 255 = 63 mins

Answer: She needs to attain 63 mins for her 6th ride.

3 0

2 years ago

write the following inequality in slope-intercept form. –6x 2y ≤ 42 a. y ≥ 3x 21 b. y ≤ 3x – 21 c. y ≥ 3x – 21 d. y ≤ 3x 21

borishaifa [10]

-6x + 2y =< 42
2y =< 6x + 42
y =< 3x + 21

4 0

2 years ago

Read 2 more answers

An automobile manufacturer has given its car a 46.7 miles/gallon (MPG) rating. An independent testing firm has been contracted t

erastova [34]

Answer:

$z=\frac{46.5-46.7}{\frac{1.1}{\sqrt{150}}}=-2.23$

The p value would be given by:

$p_v =2*P(z$

For this case since th p value is lower than the significance level of0.05 we have enough evidence to reject the null hypothesis and we can conclude that the true mean for this case is significantly different from 46.7 MPG

Step-by-step explanation:

Information given

$\bar X=46.5$ represent the mean