Write an inequality to determine when Apartment A will cost more than Aparment B: Johnny is searching for an apartment and has narrowed it down to two choices. Apartment A has a $300 security deposit and costs $800 each month. Apartment B has a $900 deposit and costs $500 each month.

Answers

Answer 1

Answer:

Apartment A will cost more than Aparment B after 2 months which means from the third month and above, Apartment A will cost more than Aparment B

Step-by-step explanation:

Write

Let the number of months be represented as y

Apartment A has a $300 security deposit and costs $800 each month.

$300 + $800 × y

300 + 800y

Apartment B has a $900 deposit and costs $500 each month

$900 + $500 × y

900 + 500y

An inequality to determine when Apartment A will cost more than Aparment B :

Apartment A > Apartment B

300 + 800y > 900 + 500y

300 + 800y = 900 + 500y

Collect like terms

800y - 500y = 900 - 300

300y = 600

y = 600/300

y = 2 months

Therefore Apartment A will cost more than Aparment B after 2 months which means from the third month and above, Apartment A will cost more than Aparment B


Related Questions

find the measure of each angles

Answers

Answer:

7; = 135

1;= 135

2; = 45

3; = 135

A manufacturer allows a discount of 30% on the list of prices of goods bougth by wholesalers. Calculate the discount allowed on the following prices. 800,000 ​

Answers

Answer:

$ 560,000 hope this helps

Step-by-step explanation:

240,000 what taken off of 800,000 the final price is 560,000

Jonathan has a board that is 12 1/2 feet long that he needs cut into 5 equal pieces how long should each piece be

Answers

Answer:

2 1/2 per piece

Step-by-step explanation:

I NEED HELP!!!
Convert to find the equivalent rate,
inches
yards
60
min ute
second

Answers

Answer:

36 seconds

Step-by-step explanation:

Answer:

Dnbsflvi jvidkdkeicucyccgdmjcjvh

Step-by-step explanation:

what’s the simplified value of 12.4x(-6.3)

Answers

Answer:

-78.12

Step-by-step explanation:

Answer: u just divide the small number to the big number and add and get ur answer that is -78.12

Step-by-step explanation:

How mant cups of yellow paint shod u mix with 1 cup of blue paint to make the same shade of green

Answers

If you want light green, two cups of yellow and one blue, if you want dark green, two cups of blue and one yellow

12 - C = –16
solve for C

Answers

Answer:

28

Step-by-step explanation:

1) subtract 12 from both sides

2) divide by negative 1

Answer:

28

Step-by-step explanation:

simplify both sides

subtract 12 for both sides

divided both sides by -1

A school purchases calculators from a store for $6 each.
Create an equation that represents the total cost, d, in dollars, for the number of calculators purchased, c. Use both
variables in your equation.

Answers

Answer:

Cost =6(Cal)

Step-by-step explanation:

Calculators: 6$

Calculators: Cal

Cost=C

Cost =6(Cal)

Answer:

1=6

Step-by-step explanation:

Find |x| when x = – 15.
HELP ME PLEASEE

Answers

Answer: 15

Step-by-step explanation: | | means the absolute value the absolute value of -15 is 15 because it is 15 units away from 0.

Shaun thinks that pi * 0 results in an irrational number. He thinks so because irrational and is rationalthe product of a rational number and an irrational number is irrational. Is Shaun correct? Explain why or why not.

Answers

Answer: No, Shaun is incorrect because pi never ends and is infinite and doesnt repeat not because its irrational and is rational the product of a rational number and an irrational number is irrational.

Step-by-step explanation:

Theres not really and explanation of how to get this answer you just need to think about it and see what would make sense.

HELP NEEDED ASAP!!! PLEEEEASE HELP!!!

Answers

Answer:

24

Step-by-step explanation:

what is the smallest number which is a multiple of both 8 and 12? so, an multiple of 8 must have 2 as a factor at least 3 times. Similarly, multiples of 12 have at least two 2's and one 3. so we need 2x2x2x3 or 24 if every factor is to be included.

I'm not the best at explaining but you can search google to get the better Idea.

(btw this is for the fist question)


Select True or False.
The expression 3x – 4(2x – 5) is equivalent, to the expression 20 – 5x.
True
O false

Answers

Answer:

true

Step-by-step explanation:

[tex]3x - 4(2x - 5) = \\ 3x - 8x + 20 = \\ - 5x + 20 = \\ 20 - 5x = > \: true[/tex]

Answer:

true

Step-by-step explanation:

3x -4(2x-5)

3x-8x+20

5x+20

In 2010, the continent of South America had a population of 395, 280, 204 Which of the following is the closest estimate of this number?
O 3 x 10^8
O 4 x 10^7
O 4 x 10^8
O 4x 10^9


Answers

Given:

The population of continent of South America in 2010 is 395, 280, 204.

To find:

The closest estimate of this number.

Solution:

We have,

[tex]Population = 395, 280, 204[/tex]

The approximate value of this number is

[tex]Population \approx 400, 000, 000[/tex]

The scientific form of this value is

[tex]Population = 4\times 10^8[/tex]

Therefore, the correct option is C.

Bicycle rentals cost $5.00 per hour for an adult and $2.50 per hour for a child.
A family with one adult and 2 kids decide to rent bicycles.
Which equation represents the relationship between the cost in dollars
for the family, c, and the time they rent the bicycles in hours, t?
A) c = 5.00t + 2.50
B) c = 7.50t
C) c = 5.00 + 2.50t
Dc = 10.00t

Answers

Answer:

B

Step-by-step explanation:

Have a good day!

Which is the graph of the function f(x) = √ 1/4x
HELP FAST!

Answers

This is the graph of of f(x). You can easily use desmos to draw graphs

I need help asap no rocky

Answers

-2x5 is -10 and 6x5 is 30 so wouldn’t the scale factor be 5?

Need help pleaseeeeeeee

Answers

Answer:

B and C

Step-by-step explanation:

Answer:

Transversal/Parallel/Perpendicular

Step-by-step explanation:

What types of lines intersect and are coplanar?

Coplanar Lines

Three types of lines that are coplanar are parallel lines, perpendicular lines, and transversals. These all exist in a single plane, unlike skew lines (which exist in multiple planes). Any two lines in a plane must necessarily either be parallel or intersect.

Help pleaseeeeeeeeee!!

Answers

Answer:

point m,

Step-by-step explanation:

if you reflect across the x axis then its the same point but in the negatives for y.

sry if its wrong I havent done these in a while

Answer:

M is the answer

Step-by-step explanation:

If you count the space between c and the x axis its 5 spaces so just do that on the other side and double check to make sure too.

Point Q is the image of Q (-5,1) under a translation by 6 units to the right and 2 units down.
What are the coordinates of Q?

Answers

Answer:

(1,-1)

Step-by-step explanation:

The graph is being shifted 6 units to the right which affects the x-value and it is also being affected 2 units down which affects the y-value.

Can you please help me with the question

Answers

180 feet

4.5 x 40 = 180

I need to turn that into an equation but I cant figure it out.​

Answers

Answer:

Hello!!! Princess Sakura here ^^

Step-by-step explanation:

The equation will be...

[tex]\frac{3x-6}{2} +12[/tex]

I don't know if you need to solve it but here you go anyways...

[tex]\frac{3}{2}x+9[/tex]

(4, 5) and (-4, 3)
What’s the answer I need help

Answers

Answer:4(3)/(5)

Step-by-step explanation:

Can i get some help im really confused and im in the test

Answers

Answer:

b y= 3x+6 is the ans but not sure

Simon and his niece marcie are comparing their ages to see if there is a mathematical connection. They find that Simon is three years more than four times marcie' age. The sum of their ages is 58. Let m be marcie's age. Could marcie be seven years old? Write an expression for Simon's age in terms of the variable m. Write and equation that models the information given Now solve for m? What is marcie's age? What is Simon's age?

Answers

Answer:

The expression for Simon's age in terms of the variable m would indicate that Simon's age is equal to four times Marcie's age plus 3:

s=4m+3 (1)

Also, you know that the sum of their ages is 58, which is:

s+m=58 (2)

You can replace (1) in (2) and solve for m to find Marcie's age:

4m+3+m=58

5m=58-3

5m=55

m=55/5

m=11

Finally, you can replace m in (1) to find Simon's age:

s=4(11)+3

s=44+3

s=47

According to this, Marcie is 11 years old and Simon is 47 years old.

Do this ASAP and put answers in the "Answer" Tab. Any Absurd answers shall be reported and deleted. Remember when your answer gets deleted you loose the points you received. [tex]\boxed{ Perimeter\; and\; Area\; on \;the \;Coordinate \;Plane}[/tex]

Answers

[tex].....................part \: 1. \: a.......................... \\\boxed{ Perimeter} \\ the \: perimeter \: of \: a \: triangle \: is \: given \: by \to\\ \boxed{p} = a + b + c........ \\ were \: \\ a \: b \: and \: c \: are \: the \: sides \: \: of \:the \: triangle \: when : \\ a = su = \: ?\\ b = ut = 8 \: units\\ c = ts = 14 \: units\\ to \: find \: su \: we \: apply \: pythagorean \: rule\: \to \: \\ (su) {}^{2} = {(ut)}^{2} + {(ts)}^{2} \\ su = \sqrt{ {8}^{2} + {14}^{2} } \\ su = 2 \sqrt{65} \\ hence : \\ \boxed{p} = 8 + 14 + 2 \sqrt{65} \\ p = 22 + 2 \sqrt{65} \\\boxed{p= 38 .12\: units}\\ \\ .......................part \: 1. \: b....................... \\ \boxed{Area} \\ the \: area \: of \: a \: triangle \: is \: given \: by : \\ A = \frac{1}{2} bc \\ hence : \\ A = \frac{1}{2} \times 8 \times 14 \\ \boxed{ A = 56\: {units}^{2}}[/tex]

Note.......I took care of part 1 only......cos handling both questions on here will be much on me

or.......you can set part 2 as a different question......but applying the same methods for the triangle will definitly work for the rectangle.

♨Rage♨

crying for help here..

Answers

Answer:

ST=32

Step-by-step explanation:

We know the two sides are equal, so first solve for p.

9p-4=4p+16

9p-4p=16+4

5p=20

p=4

Now subsitute p back in for ST

9(4)-4=32

A penguin walks South. It completes the first 1/3 mile in 1/5 of an hour and continues at the same rate. What is the penguin's rate in Miles per hour?

Answers

Answer:

Its walking at 3/5 miles per hour

determine the range of the following graph

Answers

Answer:

Range: [-6, 8]

Step-by-step explanation:

Range is the set of y-values that are outputted by function f(x).

From the graph we see that our y-values span from -6 to 8. Since both are closed dot, they are included in the range:

[-6, 8] or -6 ≤ y ≤ 8

Given 45-45-90 triangle with hypotenuse of 3cm solve for the other sides.

Answers

Answer:

[tex]\sqrt{\frac{9}{2} }[/tex]

Step-by-step explanation:

Given dimensions:

   The right angle system is a 45 - 45 - 90

    Hypotenuse  = 3cm

Unknown:

Adjacent and opposite sides = ?

Solution:

In this triangle, the adjacent and opposite sides are equal to one another. So,

 Let adjacent  = y

        opposite  = y

For right angle triangles as this, using the Pythagoras theorem,

           hypotenuse²  = adjacent² + opposite²

 Insert the parameters and solve;

                    3² = y² + y²

                    2y²  = 9

                       y² = [tex]\frac{9}{2}[/tex]

                       y = [tex]\sqrt{\frac{9}{2} }[/tex]

Please help fast I will give branliest to the correct answer ‼️

Answers

Answer:

Sub to SZ Lexrn if that does not show search up shiyo on vr and first vid is them please help out , thx bye . If you do it cmt and ill make a post for yall for 100 points

Step-by-step explanation:

Please, srry for sp

Answer:

The answer is c

4 multiples : 4 8 12 16 20 24 28 32 36 40 44 48

6 multiples: 6 12 18 24 30 36 42 48

what they dont have in comman 4,8,16,20,28, 32,40,44,

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