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ella [17]
2 years ago
5

A clothing store bought a sweater for a certain price and marked it up 70%. The sweater didn't sell, so the store owner took 25%

off the original sale price and it sold at that price. What percent profit did the store make?
Mathematics
2 answers:
Leokris [45]2 years ago
6 0

Its easy to solve this problem by <em>taking 100 as the cost price of the sweater.</em>

If it is marked up 70%, the selling price is 70% more than 100, which is 170 as shown below:

Selling price = 100+(0.7)(100)=100+70=170


Now we need to subtract 25% of 170 from 170 to get his new price (at which he sold).

New price = 170-(0.25)(170)=170-42.5=127.5

He sold it for $127.5. So how much profit did he make?

Profit = Income - Cost = 127.5-100=27.5 dollars

<em>In percentage</em>, \frac{27.5}{100}*100=27.5%


ANSWER: 27.5% profit


Papessa [141]2 years ago
4 0

The answer is 50%, to get this you take the original percentage in this case 70% and you subtract that by the new sale price which is 25% to get your answer of 50%

75%-25% =50%
Enjoy the rest of your evening


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On 1st January 2020, Laurie invests P dollars in an account that pays a nominal annual interest rate of 5.5%, compounded quarter
andrezito [222]

Answer:

1) The common ratio =  1.055

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Step-by-step explanation:

1) The given information are;

The date Laurie made the investment = 1st, January, 2020

The annual interest rate of the investment = 5.5%

Type of interest rate = Compound interest

Therefore, we have;

The value, amount, of the investment after a given number of year, given as follows;

Amount in her account = a, a × (1 + i), a × (1 + i)², a × (1 + i)³, a × (1 + i)ⁿ

Which is in the form of the sum of a geometric progression, Sₙ given as follows;

Sₙ = a + a × r + a × r² + a × r³ + ... + a × rⁿ

Where;

n = The number of years

Therefore, the common ratio = 1 + i = r = 1 + 0.055 = 1.055

The common ratio =  1.055

2) When the money doubles, we have;

2·a = a × rⁿ = a × 1.055ⁿ

2·a = a × 1.055ⁿ

2·a/a = 2 = 1.055ⁿ

2 = 1.055ⁿ

Taking log of both sides gives;

㏒2 = ㏒(1.055ⁿ) = n × ㏒(1.055)

㏒2 = n × ㏒(1.055)

n = ㏒2/(㏒(1.055)) ≈ 12.95

The number of years it will take for the amount of money in Laurie's account to double = n = 12.95 years

Therefore, the year in which the amount of money in Laurie's account will become double = 2020 + 12..95 = 2032.95 which is the year 2032

The year in which the amount of money in Laurie's account will become double = year 2032.

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2 years ago
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BlackZzzverrR [31]

Answer:

Step-by-step explanation:

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a)

we know that \int\limits^\infty_{-\infty}\int\limits^\infty_{-\infty} {f(x,y)} \, dxdy=1

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on integrating we get

c=(1/6640)

b)

P(X>20, Y>=1)=\int\limits^{40}_{20}\int\limits^2_{1} {\frca{1}{6640}(4x+2y+1)} \, dxdy

on doing the integration we get

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c)

marginal density of X is

f(x)=\int\limits^2_{0} {\frca{1}{6640}(4x+2y+1)} \, dy

on doing integration we get

f(x)=(4x+3)/3320 ; 0<x<40

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f(y)=\int\limits^{40}_{0} {\frca{1}{6640}(4x+2y+1)} \, dx

on doing integration we get

f(y)=\frac{(y+40.5)}{83}

d)

P(01)=\int\limits^{40}_{0}\int\limits^2_{1} {\frca{1}{6640}(4x+2y+1)} \, dxdy

solve the above integration we get the answer

e)

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Two variables are said to be independent if there jointprobability density function is equal to the product of theirmarginal density functions.

we know f(x,y)

In the (c) bit we got f(x) and f(y)

f(x,y)cramster-equation-2006112927536330036287f(x).f(y)

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Answer:

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Answer:

Choice A: there is insufficient evidence to conclude that the mean for the fiber content is less than 2.5 gms.

Step-by-step explanation:

From the graphs given the more appropriate is one sample t- test

One sample t- test is used and the results are

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Sample Mean                          2.62

Sample St. Dev                       3.492

Degrees of Freedom              24

t- test statistic                         0.1718

p- value                                    0.5675

the critical region for this test at ∝= 0.05 is t < -1.711

There is not enough evidence to reject the null hypothesis.

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6 0
2 years ago
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dmitriy555 [2]

Answer:

The triangular prism shown has 2 triangular face(s) and 3 lateral face(s).

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Step-by-step explanation:

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Surface area of triangular prism = 2.5(6)+15(8)

Surface area of triangular prism = 15 + 120

Surface area of triangular prism = 135mm²

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