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

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

The answer is in the image 

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

For every 8 cars there are 7 trucks

Therefore,

Cars:Truck=8:7

Answer is B)8:7

Mathematics
Step-by-step answer
P Answered by PhD

F=ma

where F=force

m=mass

a=acceleration

Here,

F=4300

a=3.3m/s2

m=F/a

    =4300/3.3

    =1303.03kg

Mathematics
Step-by-step answer
P Answered by PhD

The solution is given in the image below

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

Here,

tip=18%of $32

tip=(18/100)*32

=0.18*32

=$5.76

Total payment=32+5.76=$37.76

Mathematics
Step-by-step answer
P Answered by PhD

Salesperson will make 6% of 1800

=(6/100)*1800

=108

Salesperson will make $108 in $1800 sales

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