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Mice21 [21]
3 years ago
7

An electronics store advertised a 35% discount on all big screen TV's. If the sales tax rate where Will Smith lives is 5.5%, how

much did he pay for a 60 inch TV, which regularly sells for $1,250?​
Mathematics
1 answer:
Ber [7]3 years ago
6 0

Will Smith paid $857.19 for the 60 inch TV.

Step-by-step explanation:

Step 1:

The 60 inch TV sells for $1,250. The electronics store offers a discount of 35%.

So the price that is paid for the TV is reduced by 35%.

We need to determine how much 35% of $1,250 is.

35% of $1,250 = \frac{35}{100} (1,250) = 437.50.

So a discount of $437.50 is applied to the original price.

The discounted price = 1,250 - 437.50 = 812.50.

The discounted price of the TV is $812.50.

Step 2:

A sales tax rate of 5.5% is applied where Will Smith lives.

We need to determine how much 5.5% of $812.50 is.

5.5% of $812.50 = \frac{5.5}{100} (812.50) = 44.6875.

So a sales tax of $44.6875 is applied to the original price.

The total price = 812.50+44.68755 =857.1875.

Rounding this off, Will Smith paid $857.19 for the 60 inch TV.

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Find P(5)-p(3) if P(2x)+P(4x)+P(6x)=24x-6
professor190 [17]

Answer:

P(5) - P(3) = 4

Step-by-step explanation:

<em>Lets explain how to solve the problem</em>

Assume that P(x) is a linear function, that because the sum of P(2x),

P(4x), and P(6x) is linear ⇒ (24x - 6 is linear)

∵ The form of the linear function is y = ax + b

∴ P(x) = ax + b

Substitute x by 2x

∵ P(2x) = a(2x) + b

∴ P(2x) = 2ax + b

Substitute x by 4x

∵ P(4x) = a(4x) + b

∴ P(4x) = 4ax + b

Substitute x by 6x

∵ P(6x) = a(6x) + b

∴ P(6x) = 6ax + b

Add the three functions

∴ P(2x) + P(4x) + P(6x) = 2ax + b + 4ax + b + 6ax + b

Add like terms

∴ P(2x) + P(4x) + P(6x) = 12ax + 3b ⇒ (1)

∵ P(2x) + P(4x) + P(6x) = 24x - 6 ⇒ (2)

Equate (1) and (2)

∴ 12ax + 3b = 24x - 6

By comparing the two sides

∴ 12a = 24 and 3b = -6

∵ 12a = 24

Divide both sides by 12

∴ a = 2

∵ 3b = -6

Divide both sides by 3

∴ b = -2

Substitute these values in P(x)

∵ P(x) = ax + b

∴ P(x) = 2x + (-2)

∴ P(x) = 2x - 2

Now we can find P(5) - P(3)

∵ P(5) = 2(5) - 2 = 10 - 2 = 8

∵ P(3) = 2(3) - 2 = 6 - 2 = 4

∴ P(5) - P(3) = 8 - 4 = 4

* P(5) - P(3) = 4

5 0
3 years ago
the sum of two numbers is 70. the larger number is five less than twice the smaller number . what are the two numbers
earnstyle [38]
X+y=70
x=2y-5
x=larger number
y=smaller number
now plug in the value of x to only have one variable in the equation...
Way to solve for y:
(2y-5)+y=70
3y-5=70
add 5 on both sides...
3y=75
divide by 3 on both sides
y=25
1st way to solve for x:
now plug in y in the original equation...
x+25=70
subtract 25 on both sides...
x=45
2nd way to solve for x:
plug in y for the second equation...
x=25(2)-5
x=50-5
x=45
answer: the two numbers are 45 and 25.

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Answer:

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Pls help me with this question
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Answer:

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I believe it to be 48.
7 0
4 years ago
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