02.11.2022

An antique store increases all of its prices by $40\%$, and then announces a $25\%$-off-everything sale. What percent of the original prices (before the increase) are the new prices? show work plz! It's not 5% by the way

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Step-by-step answer

24.06.2023, solved by verified expert
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105%

Step-by-step explanation:

We'll analyse the question one step at a time

Let the original price be x.

Let y be the 40% increase

An antique store increases all of its prices, №17886259, 02.11.2022 20:00

Express as decimal

An antique store increases all of its prices, №17886259, 02.11.2022 20:00

An antique store increases all of its prices, №17886259, 02.11.2022 20:00

Let z be the 25% off sale

An antique store increases all of its prices, №17886259, 02.11.2022 20:00

Express as decimal

An antique store increases all of its prices, №17886259, 02.11.2022 20:00

An antique store increases all of its prices, №17886259, 02.11.2022 20:00

An antique store increases all of its prices, №17886259, 02.11.2022 20:00

Substitute 1.40s for y

An antique store increases all of its prices, №17886259, 02.11.2022 20:00

An antique store increases all of its prices, №17886259, 02.11.2022 20:00

Express 1.05 as a fraction

An antique store increases all of its prices, №17886259, 02.11.2022 20:00

The percentage is 105%

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Faq

Mathematics
Step-by-step answer
P Answered by PhD
Let X be the original price. 
Do a 40% increase we get the price: X+0.4X=1.4X
Doing a 25% off we get the new price:
(1.4X)-0.25(1.4X)=1.05X 
                            =X+0.05X.
The new prices are 5% increase from the original price. 
Mathematics
Step-by-step answer
P Answered by PhD

105%

Step-by-step explanation:

We'll analyse the question one step at a time

Let the original price be x.

Let y be the 40% increase

y =x + 40\% *x

Express as decimal

y =x + 0.40 x

y =1.40x

Let z be the 25% off sale

z = (1 - 25\%) * y

Express as decimal

z = (1 - 0.25) * y

z = (0.75) * y

z = 0.75y

Substitute 1.40s for y

z = 0.75*1.40x

z = 1.05x

Express 1.05 as a fraction

z = 105\%  * x

The percentage is 105%

Mathematics
Step-by-step answer
P Answered by PhD

SI=(P*R*T)/100

P=2000

R=1.5

T=6

SI=(2000*1.5*6)/100

=(2000*9)/100

=180

Neil will earn interest of 180

Mathematics
Step-by-step answer
P Answered by PhD

Cost of 7 gallons=$24.50

Cost of 1 gallon=24.50/7=3.5

Cost of 15 gallons=15*3.5=52.5

Cost of 15 gallons will be $52.5

Mathematics
Step-by-step answer
P Answered by PhD

For 1 flavor there are 9 topping

Therefore, for 5 different flavors there will be 5*9 choices

No of choices= 5*9

=45 

Mathematics
Step-by-step answer
P Answered by PhD

The answer is in the image 

The answer is in the image 
Mathematics
Step-by-step answer
P Answered by PhD

The solution is in the following image

The solution is in the following image
Mathematics
Step-by-step answer
P Answered by PhD

y=2x+15

where y=Value of coin

x=Age in years

Value of coin after 19 years=2*19+15

=$53

Therefore, Value after 19 years=$53

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