Alice earns £450 in wages per month.
She pays £200 rent per month.
Next month.
her wages will increase by 2%
her rent will increase by 5%
She says
"The increase in my wages will pay for the increase in my rent."
Is she correct?
You must show your working.

Answers

Answer 1

Answer:

false

Step-by-step explanation:

Since in the question it is mentioned that the wages would be increased by 2% and rent would increase by 5%

So, the increased value of both is

= $450 × 1.02

=  $459

And,  

= $200 × 1.05

= $210

As the wages are increased to $9 and the rent is increased to $10 since the amount is not equivalent to each other so the given statement is false


Related Questions

Sarah has been running a dog-walking business since 2010. She walks dogs twice a day, takes them to the park, and returns them to their homes. Each year, she has increased her fee by the same amount. The table shows what Sarah charged each customer for two given years of her business:


Year Annual Dog-walking Fee
2010 $350
2014 $750


A. What is the rate of change and initial value for Sarah’s business? How do you know?
B. Write an equation in slope-intercept form to represent the fees that Sarah charges each year.

Answers

Answer:

Step-by-step explanation:

A. The Initial value is the starting value of her business which can be considered $350 since that is what she made the first year. The Slope can be calculated by subtracting the end profit from the initial profit and then dividing by the result of subtracting the end year by the initial year like so...

$350 initial value

[tex]\frac{750 - 350}{2014 - 2010} = \frac{400}{4} = \frac{100}{1 year} =[/tex]  $100 a year increase

B. The equation for this scenario would be  y = 100x + 350

Answer:

100 each year and y=100x+350

Step-by-step explanation:

h6lppppppndue in 45 min

Answers

Answer:  6:5 ; 18:15 ; 36:30

Step-by-step explanation:

6/5 = x/15

5x = 6(15)            use cross multiply

5x = 90

x = 18

6/5 = 36/x

6x = 5(36)            use cross multiply

6x = 180

x = 30

Answer:

Answer below

Step-by-step explanation:

For every 6 taxis, there are 5 busses

if there are 15 busses, thats 3 sets of 5

6x3 is 18. so for every 15 busses, there are 18 taxis

If there are 36 taxis, thats 6 sets of 6

since there are 5 busses for every 5 taxis

5x6 is 40

for every 30 busses, there are 36 taxis

Can someone please help? I'll mark brainliest! :)

Answers

Answer:

D

Step-by-step explanation:

[tex]8x - 2 < - 4(x - 1) \\ 8x - 2 < - 4x + 4 \\ 8x + 4x < 4 + 2 \\ 12x < 6 \\ x < \frac{1}{2} [/tex]

If Jessica split 75 pencils between 8 people in her class and kept the leftovers, how many pencils did each classmate get?

Answers

Answer: Each classmate got 9 pencils

Step-by-step explanation: if you divide 8 from 75, you get 9 pencils for each classmate and 3 for Jessica to keep.

75 divided by 8 is about 9. so each person in her class gets 9 pencils, while Jessica is left with 0.375 of a pencil.

A car travels 80 millimetres in 2 1/2 hours . What is it speed in kilometres per hour​

Answers

Answer:

32 Kilometers

Step-by-step explanation:

A Car travels 80 Kilometers in 2 and Half hours.

1 Hour =60 minutes, 2 & Half hours= 2.5*60= 150 minutes

Kilometers travelled by Car in a hour= 80/150*60= 32 Kilometers

If a rectangular garden is 6 feet long and 4 feet wide and there are 10 vegetables planted; what is the density of vegetable plants in the garden?
a. 1.61 vegetable plants per square foot.

b. 2.53 vegetable plants per square foot.

c. 2.40 vegetable plants per square foot.

d. 0.42 vegetable plants per square foot.

Answers

The answer would be B
Correct me if I’m wrong

Answer:its D

Step-by-step explanation:

took the test

Can you please help me?

Answers

Answer:

[tex]\frac{20}{36}[/tex]

Step-by-step explanation:

the total amount of squares within this square is 36

and the number of shaded squares would be 20

so if 20 squares out of 36 squares are shaded, then the fraction is

[tex]\frac{20}{36}[/tex]

or 55.56%

(to find percentage multiply [tex]\frac{20}{36}[/tex] by 100)

Answer:

5/9

= 55.56% ( to the nearest hundredth).

Step-by-step explanation:

The total number of little squares in the large square = 6*6 = 36.

Total number of shaded squares = 2*6 + 2*4

= 12 + 8 = 20.

So the fraction of shaded part

= 20/36

= 5/9.

As a percentage this is 5*100/9

= 55 5/9%

= 55.55..... %

Question 3
Simplify the expression by combining like terms
Expression: 8y + 14x - 7y2 - 15x + 3y
Like Terms: I
Simplified Expression:

Answers

Answer:

-7y^2-x+11y

Step-by-step explanation:

Find the area of the figure. (Sides meet at right angles.)

Answers

Answer: 37ft^2

Step-by-step explanation:

Create two separate figures. A full square 3x3 and a rectangle 7x4.

The 7ft line on the right minus 3 ft (because we are cutting out that section of the figure) = 4ft

Area of 3x3 square = 3^2 = 9ft^2

Area of 7x4 rectangle = 7x4 = 28ft^2

28+9= 37ft^2

I have a big test coming up and i nedd help with this question please :)

Answers

Answer:

the answer is 7/10

Step-by-step explanation:

Help please I don’t know it

Answers

Answer:

Step-by-step explanation:

sinC = 12/13

cosA = 12/13

Triangle MAT is isosceles, angle A is the vertex angle, AT = 8x-3, MT = 2x+3 and MA=5x+15. Find the value of x and the indicated measures.

Please solve step by step to help me understand. Thanks!

Answers

Answer:

x=6, AT=45, MT=15,  MA=45

Step-by-step explanation:

Because it is isosceles, MA=AT, so 8x-3=5x+15, solve for x and then plug it into the equations.

Which set of ordered pairs represents y as a function of x?
A (0, 0), { (−1, 2), (−1, −2), (−2, 4), (−2, −4)}
B {(0, 0), (1, 1), (2, 4), (3, 9), (3, 16)}
C {(0, 0), (0, 1), (0, 2), (0, −1), (0, −2)}
D {(0, 0), (−1, −0.5), (−2, −1), (−3, −1.5), (−4, −2)}

Answers

Answer:

The answer to the question would be D

HELP PLEASE ANSWER NOW
Solve the following system of equations algebraically using the ELIMINATION METHOD. Show all work.
x-3y=1
3x-5y=11

Answers

Answer:

(7,2)

Step-by-step explanation:

Multiply the first equation by -3

(x-3y=1)  = -3x+9y=-3

Combine like terms with the new equation and the second equation

(-3x+9y=-3) + (3x-5y=11)   = 4y=8

Divide each side by 4

4y/4=8/4

y=2

Plug in 2 for y in any equation. It doesn’t matter which one

x-3(2)=1

Distribute

x-6=1

Add 6 to both sides

x-6=1

+6  +6

x=7

Answer: x = 7 y = 2

(7, 2)

Step-by-step explanation:

Multiply the first equation by -3 and the second by 1:

-3(x - 3y = 1)

1(3x - 5y = 11)

Becomes:

-3x + 9y = -3

3x - 5y = 11

Add the equations to eliminate x:

-3x + 9y = -3

3x - 5y = 11

4y = 8

Solve for y by dividing by 4:

4y/4 = 8/4

y = 2

Now we plug in y to the first equation:

x - 3 ( 2 ) = 1

x - 6 = 1

Add 6 to both sides:

x - 6 + 6 = 1 + 6

x = 7

I need help with #2 help if u can

Answers

Answer:

Step-by-step explanation:

G

Systems of equations with different slopes and different y-intercepts have one solution.
Never
Sometimes
Always

Answers

Answer:

never

Step-by-step explanation:

What is 9/7 divided by 3/4?

Answers

Answer:

12/7 or E

Step-by-step explanation:

Answer: 1 5/7

Step-by-step explanation:

Katie wants to buy a bicycle that costs $200. This is
$20 more than twice what she saved last month. How
much did she save last month?.
Find the number.

Answers

Step-by-step explanation:

Multiply both the numbers

200 × 20

(4000) Answer

Find the value of x.

Answers

Answer:

The answer is 148 or D

Step-by-step explanation:

The line has 180 degrees total, to find the answer you subtact 32 from 180. This leaves you with 148.

Answer: x = 148°

Step-by-step explanation: All supplementary angles equal 180°. So you subtract 32° from 180° (180°-32°) and get your answer.

find the diameter of the circular garden whose circumference is 124.03 cm​

Answers

Answer:

[tex] \color{magenta} \huge{ \boxed{answer}}[/tex]

Solve for diameter

d = 39.48

hopefully help:)

Step-by-step explanation:

✨use #CarryOnLearning to help our medical frontliners✨

#CarryOnLearning

Help me I have time plz!!

Answers

Answer:

D

Step-by-step explanation:

Ashley is deciding between two jobs.
Job A pays $2000 a month with a
monthly raise of $85. Job B pays $2000
a month with a monthly raise of 4%.
a. Write a function to represent the
monthly salary for job B.

Answers

Answer:

job A because 4% of 2000 is 80 and job A is 5 dollars extra

What is 600 divided by 70?

Answers

Answer:

8.5714285714

Step-by-step explanation:

round as you must

Answer:

8.571

Step-by-step explanation:

600/70

= 60/7 (cancel the zeroes)

= 8.571

im really confused i hope this doesnt take to much time please help it would me so much to me.

Answers

Yes it is A I got it right

When you cut a pyramid straight up and down, what shape is your cross section?

Answers

Answer:

The cross section of a pyramid that is perpendicular to the base will be a triangle.

Step-by-step explanation:

Marty and Adam want to share 8/10 feet of rope, equally. What amount of rope should each person get?

Answers

Answer: 2/5 feet

Step-by-step explanation:

From the question, we are informed that Marty and Adam want to share 8/10 feet of rope, equally.

The amount of rope that each person would get would be calculated by dividing 8/10 by 2. This will be:

= 8/10 ÷ 2

= 8/10 × 1/2

= 8/20

= 2/5

Therefore, each person gets 2/5 feet of rope.

Caleb has driven 820 miles of his road trip. He has 20% of his trip left to go. How many miles does he have left to go? Need asp

Answers

he has 164 miles left

for each line, determine whether the slope is positive, negative, zero or undefined. (this is homework.) ​

Answers

Answer:

I think 1 is negative, 2 undefined, 3 negative, 4 positive

Step-by-step explanation:

Answer:

1. zero

2. undefined

3. negative

4. positive

Plot the points (-3,-4) and (6,-4) on the coordinate plane below.
What is the distance between these two points?
units
y
9-
8
7
6-
4-
3-
2-
11
H
{}
-9-8-7-6-5-4-3-2
1 2 3 4 5 6 7 8 9
-34
14
-5-
-6-
-7-
18

Answers

Answer:

d = 9

Step-by-step explanation:

Distance formula:

d=√((x_2-x_1)²+(y_2-y_1)²)

Your ordered pairs (-3, -4) and (6, -4)

d=√((6-(-3))²+(-4-(-4))²)

d=√((6+3))²+(-4+4))²)

d=√((9)²+(0)²)

d = √81

d = 9

16 1/4 divided by 3.25
Someone pls help

Answers

Answer:

20

Step-by-step explanation:

16 1/4 ÷ 3.25

16×4=64+1=65

65/3.25=20

Answer:

The answer is 5.

Step-by-step explanation:

you do this by converting the decimal 3.25 into a fraction. This would equal   3 1/4 (simplified) now since that both fractions have the same denominator we can solve by dividing the fractions.  

Other Questions
According to the Supreme Court ruling in the court case of Engel v. Vitale, 1962, it is unconstitutional for public schools to A. force students to recite an official prayer. B. enforce truancy laws on students over 18. C. allow and use corporal punishment practices. D. require female students to attend gym class. please help asap I will give brainliest! how to calculate natural population growth rate Why did ranchers drive their cattle from Texas to Kansas? NEED ASAP!!Find the surface area of the pyramid. the following linear system is to be solved using the elimination method. 5x + 7y=0 x+ 4y= -1 the first step would be to A. add the equations B. subtract the equations C. multiply the first equations by 5D. multiply the second equation by 5 For this project, you will read poems written by the same author, William Carlos Williams. The two poems are similar, but each comes from a different collection of poems. Once you have read the examples, you will compare and contrast the poems to determine how they represent different perspectives of the poet. You may need to look up some of the words in the poem in a dictionary, that is okay!BLIZZARD SPRING STORMSnow:years of anger followinghours that float idly downthe blizzarddrifts its weightdeeper and deeper for three daysor sixty years, eh? Thenthe sun! a clutter ofyellow and blue flakesHairy looking trees stand outin long alleysover a wild solitude.The man turns and therehis solitary track stretched outupon the world. The sky has given overits bitterness.Out of the dark changeall day longrain falls and fallsas if it would never end.Still the snow keepsits hold on the ground.But water, waterfrom a thousand runnels!It collects swiftly,dappled with blackcuts a way for itselfthrough green ice in the gutters.Drop after drop it fallsfrom the withered grass-stemsof the overhanging embankment. The government issued ration books during World War II in order to -A-provide financial security for uninsured citizensB-safeguard the profits of struggling businessesC-ensure the fair distribution of scarce goodsD-allow consumers to buy imported goods at discounted rates Now consider the family of lines ax + by = c such that a, b and c are consecutive multiples of each other. what would that mean? give some examples of such lines in this family (coordinates.) what do you notice or wonder? Si la temperatura de un da de invierno esta en 6C y baja 10C, cuanto marcara el termmetro? Which audience appeal does Churchill mostly use here Heather drew the scaled drawing of a train car shown below. She used the scale of 2 cm = 5 ft to complete thedrawing.Train Car10.8 cmWhat is the actual length of the train car?A.21.6 ftB.27 ftC.43.2 ftD54 ft Find the measure of < FGE.please provide step by step equation which two are false? FACT SHEET: TRUMAN DOCTRINEA. $400 million of military and economic aid was proposed by Truman to help Greece & TurkeyB. This marked a shift in American foreign policy and marked the beginning of the Cold WarC. American & British political leaders believed democracies would be reliable allies in trade and warD. The US feared the Communists would support Communists in the Greek Civil WarE. Congress vetoed Truman's request to send aid to Greece & TurkeyF. The USSR wanted Turkey to give the USSR rights to control the Turkish straitsG. American Diplomats feared a domino effect as Communism would spread across the mediterraneanH. Truman explicitly mentioned the USSR as a threat in his address to Congress1: The Communist threat was intentionally overstated in Truman's message find the area of the triangle A container is shaped like a rectangular prism and has a volume of 72 cubic feet. Give four different set of measurements that could be the dimensions of the container.Need the answer to all dem ASAP!!! What is the radius of a circular lid with a diameter of 5 centimeters?radius I NEED THIS ANSWERED ASAP WITH THE RIGHT ANSWER A bicycle with a 15 kg mass is easily stopped when a force of 60 N is applied. How much force would be needed to stop the bicycle if the time allowed to stop the bike was doubled? tables originally priced at $70 are now on sale for $42.What is the discount, as a percentage? A scarf cost $17 after the 15% discount was applied. What is the original price?