The monthly cost of running a small business consists of retail space rental at $2400, wages at $1800 and utilities at $480. If the retail space rental and wages are decreased by 5% and 6% respectively, while utilities are increased by 7%, find the percentage increase or decrease in the monthly cost of running the business.

Answers

Answer 1

Answer:

5.8%

Step-by-step explanation:

For the business,

retail space rental = $2400

wages = $1800

utilities = $480

Total running cost = $4680

But,

retail space rental decreased by 5%, so that;

5% of $2400 = 0.05 x $2400 = $125

The new retail space rental = $2400 - $125

                                             = $2275

wages decreased by 6%, so that;

6% of $1800 = 0.06 x $1800 = $108

The new wages = $1800 - $108

                           = $1620

Utilities increased by 7%, so that;

7% of $480 = 0.07 x $480 = $33.6

The new amount on utilities = $480 + $33.6

                                               = $513.6

New total running cost = $2275 + $1620 + $513.6

                             = $4408.6

The percentage decrease in the monthly cost = [tex]\frac{(4680 - 4408.6)}{4680}[/tex] x 100%

                                    = [tex]\frac{271.4}{4680}[/tex] x 100%

                                   = 5.8%


Related Questions

Find the unknown angle measure.

Answers

Answer:

x=22

Step-by-step explanation:

180-77=103

103+55=158

180-158=22

x=22

You can buy a pack of 12 batteries
for $6. What is the unit price?

Answers

Answer:

Each battery costs .5 dollars or 50 cents

Step-by-step explanation:

6/12=.5

Answer:

total units 12

cost per unit $ 0.5000

Step-by-step explanation:

Hope this helps! :)

What is the midpoint of the segments with endpoints (3,7) and (9,15)

Answers

The midpoint is (6, 11)

I have attached the equation so it’s easier to understand.

To find the midpoint we do
(x^1+x^2 /2 , y^1+y^2 /2)

3, 7 is x^1, y^1
And
9, 15 is x^2, y^2

(3+9 /2 , 7+15 /2)

Add the x and y =

(12/2 , 22/2)

Now we divide both by 2 =

(6, 11)

Answer:

(6,11)

I can confirm that this question is right.

12/2      22/2

(6   ,        11)

Aloma, a university graduate who started a successful business, wants to start an endowment in her name that will provide scholarships to ChE students. She wants the scholarship to provide $13,000 per year and expects the first one to be awarded on the day she fulfills the endowment obligation. If Aloma plans to donate $240,000, what rate of return must the university realize in order to award the annual scholarship forever?


The rate of return that the university must realize in order to award the annual scholarship forever is _____%.

Answers

Answer:

5.73%

Step-by-step explanation:

Calculation for the rate of return that the university must realize

Using this formula

Rate of return = Initial payment/(Plan to donate- Initial payment)

Let plug in the formula

Rate of return=$13,000/($240,000-$13,000)

Rate of return=$13,000/$227,000

Rate of return=0.0573*100

Rate of return =5.73%

Therefore The rate of return that the university must realize in order to award the annual scholarship forever is 5.73 %.

(HELP PLEASE) Lines a and d are


-non-coplanar.

-parallel.

-perpendicular.

-skew.

Answers

the lines are perpendicular

idk the answer at all​

Answers

Answer:

y-1=3/2(x+3)

Step-by-step explanation:

Calculate the slope m of the given line using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (- 2, - 4) and (x₂, y₂ ) = (2, 2) ← 2 points on the line

m=2+4/2+2=6/4=3/2

Parallel lines have equal slopes.

The equation of a line in point-slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

Here m = 3/2 and (a, b) = (- 3, 1), thus

y - 1 = 3/2 (x - (- 3)), that is

y - 1 = 3/2 (x + 3) ← equation in point- slope form

I need help please thanks
find x when y = 18, if y = 9 when x = 8
ASAP PLEASE

Answers

so

y=9 -> y=18

       *2

x=8 -> x=16

       *2

so x = 16

Answer:

the only logical way solving this question is:

if y=9 then x=8

if y=18 then x should be 16

Step-by-step explanation:

I cant find any other way to solve

The product of two integers is -40. If
the sum of the two integers is -3, what
are the two integers?

Answers

Answer:

-20

Step-by-step explanation:

no cap

The table shows the makeup of a New Year’s Eve television show. What fraction of the show will be for the audience to speak?
Table:
Introduction: 10%
Skits: 25%
Guests: 45%
Audience: 20%

Answers

Answer:

1/5

Step-by-step explanation:

We need to find the fraction of the show will be for the audience to speak. Here, the part of the audience is 20%.

We know that, percent means we need to divide the value by 100 i.e.

[tex]20\%=\dfrac{20}{100}\\\\=\dfrac{2}{10}\\\\=\dfrac{1}{5}[/tex]

So, the required fraction is 1/5.

4(3x + 1)
What is the answer to 4(3x + 1)

Answers

12x + 4

Divide 12 by 4

X=3

Answer:

Answer is 12x+4. Hope that helped.

an airplane is change in alitude before landing is shown in the table

Answers

Answer:

wheres the table can you please provide one

Step-by-step explanation:

AnswerA= -4,000m

Step-by-step explanation:

1    35,000

2   31,000

3   27,000

4   23,000

Youre subtracting 4,000 everytime.

Solve x2 - 4x + 1 = 0.
x= 2 + 2i15
x = 4+ V3
x = 2/3
x= -2-3

Answers

Answer:

x = 2 ± √ 3

Step-by-step explanation:

help! 50 points and brainliest if u answer all of em

Answers

Answer:

The first one is C the second and third are correct.

Step-by-step explanation:

What integer represents the situation ""6 yards behind the winner""?

Answers

Answer:

-6

Step-by-step explanation:

An integer is a whole number that can either be positive, negative or zero.

Now, we want to write the integer that represents 6 yards behind the winner.

Now, a distance of 6 yards behind the winner means a deficit distance of 6 yards behind the winner. Which in turn means a negative distance which is -6 yards behind the winner.

Thus, the integer is -6

Help!NOW please!! I’ll do anything!

Answers

Answer:

16 1/2

Step-by-step explanation:

find the absolute value of both and add them, there's you answer

Answer:

re08uwahrewrai098nyryvrhheuaviufvsdsavad <<< Don't do this please

-16 1/2 units away

the info about it is down below enjoy your day :)

Answers

Step-by-step explanation:

column 2 is greater

have a gret day too

B is the correct answer. The number in column ll is greater. The decimal value of the number in the 2nd column is 0.78 and the value of the number in the first column is 0.52. Thence b is right;)

A dietician is considering three food types to be served at a meal she is particularly concerned with the amount of one vitamin provided?

5 years ago

at this meal ,. One ounce of food 1 provide 8 milligrams of the vitamin , an ounce of food 2 provides 24 milligram and an ounce of food 3 provides 16 milligrams . The minimum daily requirements for vitamin is 120 milligram

a. If x equals the number of ounces of food type j served at meal, determine the equation which ensure the meal satisfies MDR exactly.


i want linear equation solution of this

Answers

Answer:

8* x₁ + 24*x₂ + 16*x₃ ≥ 120

Step-by-step explanation:

food 1    provides    8 mgrs  of vitamin

food 2   provides 24  mgrs  of  vitamin

food 3   provides  16  mgrs of vitamin

If xj ( j = 1 ,2,3 ) is the quantity in ounces of food ( 1, 2, 3 ) then:

8* x₁ + 24*x₂ + 16*x₃ ≥ 120

hurry i'm doing a test so
what is the value of x in the equation 5.5x = 17.6?

Answers

Answer:

x=3.2

Step-by-step explanation:

Answer:

x=3.2

Step-by-step explanation:

Divide each term by  5.5  and simplify.

x = 3.2

A candy company claims that 20% of the candies in its bags are colored green. Steve buys 30 bags of 30 candies, randomly selects one candy from each, and counts the number of green candies. If there are 5, 6, or 7 green candies, Steve will conclude that the company’s claim is correct. What is the probability of Steve agreeing with the company’s claim? Use a TI-83, TI-83 plus, or TI-84 calculator to find the probability.

Answers

Answer:

The probability of Steve agreeing with the company’s claim is 0.50502.

Step-by-step explanation:

Let X denote the number of green candies.

The probability of green candies is, p = 0.20.

Steve buys 30 bags of 30 candies, randomly selects one candy from each, and counts the number of green candies.

So, n = 30 candies are randomly selected.

All the candies are independent of each other.

The random variable X follows a binomial distribution with parameter n = 30 and p = 0.20.

It is provided that if there are 5, 6, or 7 green candies, Steve will conclude that the company’s claim is correct.

Compute the probability of 5, 6 and 7 green candies as follows:

[tex]P(X=5)={30\choose 5}(0.20)^{5}(1-0.20)^{30-5}=0.17228\\\\P(X=6)={30\choose 6}(0.20)^{6}(1-0.20)^{30-6}=0.17946\\\\P(X=7)={30\choose 7}(0.20)^{7}(1-0.20)^{30-7}=0.15328[/tex]

Then the probability of Steve agreeing with the company’s claim is:

P (Accepting the claim) = P (X = 5) + P (X = 6) + P (X = 7)

                                       = 0.17228 + 0.17946 + 0.15328

                                       = 0.50502

Thus, the probability of Steve agreeing with the company’s claim is 0.50502.

4y-27=3y then y is equal to ?

Answers

Answer:

y=4/3y -9

Step-by-step explanation:

just divide both sides of the equation by 3

HELP : calculating slope between two points.

Answers

Answer:

(1.)3.5 (2.)-3 (3)0

Step-by-step explanation:

if right comment please

Your answers are
1. m=7/2
2.m=-3
3.m=0

890 g of copper is mixed with 100 g of zinc to form brass. The density of copper is 8.9 g/cm³ and the density of zinc is 7.1 g / cm ³ .

a ) What is the volume of copper and zinc used to make the brass ?
b ) Calculate the density of the brass . ​

Answers

Density ρ is equal to mass m per unit volume v, or

ρ = m / v

Solve for volume:

v = m / ρ

(a) 890 g of copper, which has a density of 8.9 g/cm³, has a volume of

v = (890 g) / (8.9 g/cm³) = 100 cm³

100 g of zinc, with density 7.1 g/cm³, has a volume of

v = (100 g) / (7.1 g/cm³) ≈ 14.08 cm³

(b) The density of brass is then

ρ = (890 g + 100 g) / (100 cm³ + 14.08 cm³) ≈ 8.68 g/cm³

Hanna lost 4 points on a test and earned 4 points on an extra-credit question​

Answers

Answer:

the total points earned and lose cancel eachother out to be 0. she did not lose any points

Answer:

the total points earned and lose cancel eachother out to be 0. she did not lose any points

Step-by-step explanation:

How can you express (15+30) as a multiple of us some of her numbers with no common factor?

Answers

can you reword that please

Sequence: 49, 36, 25, 16, 8, 4, 1 * Is this a arithmetic or geometric sequence? and if it is arithmetic find the common difference and if it is geometric find the common ratio? and please do not give me a stupid answer only smart people answer this if you know the answer to this you are smart. 1

Answers

Answer:

The given sequence [tex]49,36,25,16,8,4,1[/tex] is neither a arithmetic nor a geometric sequence

Step-by-step explanation:

A sequence is said to be an arithmetic sequence if difference between the terms is same.

A sequence is said to be a geometric sequence if ratio of the terms is same.

Given sequence is [tex]49,36,25,16,8,4,1[/tex]

Here,

[tex]36-49=-13\\25-36=-11\\36-49\neq 25-36[/tex]

So, this sequence is not an arithmetic sequence.

Also,

[tex]\frac{36}{49}\neq \frac{25}{36}[/tex]

So, this sequence is not a geometric sequence.

Therefore,

The given sequence [tex]49,36,25,16,8,4,1[/tex] is neither a arithmetic nor a geometric sequence

Analyzing a System
Solve the system of inequalities.
x² - gpg
v> 2
Which describe the solution set of the given system?
Check all that apply
The solution set is unbounded.
The point (1, 0) is in the solution set.
There is one point of intersection of the boundary
curves
The boundaries of the overlapping region are in the
solution set.
The boundary curves intersect at approximately
(-3,0).

Answers

Answer:

A, C, E

Step-by-step explanation:

took the assignment on edge

Answer:

a , c and e

Step-by-step explanation:

got it right on edg ^u^

Winter coats are marked 70% off on February 1st. if a coat costs $57.75 on January 31st, how much will it cost on February 1st.

Answers

Answer:

57.75-(57.75*0.7)=17,325

Or 100-70=30

So 57.75*0.3=17.325

Answer:

$40.425

Step-by-step explanation:

hope it helps good luck

The population of Philadelphia, Pennsylvania, is about 1.5 × 106 people. The population of Moscow, Russia, is about 8 times greater than the population of Philadelphia. Drag the buttons to the correct places to show how to use a calculator to find the population of Moscow.

Answers

Answer:

8 x (1.5EE6)

Step-by-step explanation:

Un abuelo quiere repartir una cierta cantidad de manera proporcional entre sus tres nietos de 14, 10 y 6 años de edad ¿A quién le corresponde más? Resuelve el problema apoyándote con los videos previos. Una vez resuelto, planteen el tema a alguien de su familia y juntos comenten cómo utilizan las relaciones proporcionales en sus quehaceres.

Answers

Answer:

El nieto de 14 años de edad recibirá la mayor cantidad.

Step-by-step explanation:

En este problema, debemos tener en mente que la cantidad aportada es directamente proporcional a la edad de quien recibe, esta cantidad es igual al producto de la cantidad total y la razón de la edad de quien recibe y la suma de todas las edades.

Bajo este razonamiento, podemos concluir que el nieto de 14 años de edad recibirá la mayor cantidad.

Somebody tell me whats the answer and how do i find the oder pair thing

Answers

Answer:

( 2,0)

Step-by-step explanation:

The line crosses the Y intercept at the coordinates at (2,0)

Answer:

the y-intercept of the graph is 2

the ordered pair is (0,2)

Step-by-step explanation:

The y-intercept is the point where the line crosses the "y" line. Ordered pair are written (x,y)  (the x is always in the front)

So, if we look at the "y" line we can see they y point is a 2, and if we look at line "x", the 2 is "above" the point 0 on the line labeled x.

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