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3 years ago

An LCD TV costs $459.95. What will the total cost be with 8.25% sales tax? (You must round to the nearest cent.

Mathematics

1 answer:

romanna [79]3 years ago

6 0

Answer:

$497.90

Step-by-step explanation:

8.25% sales tax becomes 0.0825 as a decimal fraction.

Then the total cost would be $459.95 plus 0.0825($459.95), or, in more compact form,

Total Cost = (1.0825)($459.95) = $497.90

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34 feet converted to yards and feet

Julli [10]

Answer:

11 yards and 1 foot

Step-by-step explanation:

34 divided by 3

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3 years ago

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Is 7/10 less than 2/4?

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Answer:

Step-by-step explanation:

7/10 is 0.7

2/4 is 0.5

0.7>05

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3 years ago

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Graph f(x)=2^x+1 and g(x)=−x+4 on the same coordinate plane.

12345 [234]

Given f(x)= 2^x +1

g(x)= -x +4

We have to find the value of x which satisfy the condetion : f(x)= g(x)

Solution : let us place expression given for f(x) and g(x) equal to each other

This gives us : 2^x + 1 = -x+ 4

Let us bring all x terms on left side only

we add x on both sides this makes : 2^x +1 +x = -x+ 4 +x

on the right side -x and +x becomes a "0"

we get : 2^x + 1 + x = 4

* let us nopw bring all the numeric terms on left side only

subtract 1 from both sides : 2^x + 1 + x - 1 = 4- 1

on the left side +1 and -1 becomes a "0"

on the rigth side 4-1 becomes a "3"

equation look like : 2^x + x = 3

We can see the right side is an odd number

on the left side there is sum of two terms one of them is 2^x which is an even number always .

we know that sum of an even number with an even number result out an even number

but we want a result as an odd number (3)

this suggest that x should be an odd number .

Also the sum of 2^x and x is 3 so 2^x should be smaller than 3

the smallest value ( x being an integer )

2^x can have is : 2^1= 2 which is for x=1

let us check plugging x= 1 . 2^1 + 1 = 3 which is TRUE

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3 years ago

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What is the vertex of the absolute value function defined by ƒ(x) = |x - 2| - 7?

inn [45]

<h3><u>Explanation</u></h3>

Modulus Function

$y = a |x - h| + k$

The structure or equation is similar to a quadratic function.

The value of a determines the slope of graph.

Tthe value of h determines the horizontal shift of graph.

The value of k determines the vertical shift of the graph.

From the given equation,

$f(x) = |x - 2| - 7$

We can say that the graph shifts to the right 2 units and shifts down 7 units. Hence the vertex would be at x = 2 and y = -7. It can be written in coordinate form as (2,-7).

<h3><u>Answer</u></h3>

<u> $\large{(2,-7)}$ </u>

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