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pentagon [3]
2 years ago
15

Kim buys a new shirt for $25.50. She has to pay 8% sales tax. How much tax will be paid?​

Mathematics
1 answer:
Ainat [17]2 years ago
4 0
Tax she will pay would be $2.04
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Fynjy0 [20]

Answer:

Functions are linearly dependent (are not linearly independent.)

Step-by-step explanation:

Remember that two functions f(x), g(x) and h(x) are said linearly independent on an interval I if the <em>only solution</em> to the equation

\alpha f(x)+\beta g(x)+\omega h(x)=0, \ \text{for all } x\in I

is the trivial one: α = 0, β = 0, ω = 0. If they are not linearly independent, they are called linearly dependent.

Now, let f(x), g(x) and h(x) be the functions:

f(x)=e^{3x}+\cos(5x),

g(x)=e^{3x}-\cos(5x),

h(x)=\cos(5x).

Then, letting α = 1, β= -1 and ω = -2, we see that:

\alpha f(x)+\beta g(x)+ \omega h(x)=e^{3x}+\cos(5x)-e^{3x}+\cos(5x)+2\cos(5x)=0.

Hence, the functions f(x), g(x) and h(x) are not linearly independent, or equivalently, are linearly dependent.

8 0
3 years ago
Gas prices in shelby county are at $3.00 per gallon. if a market scientist predicts a 40% increase in the price of gas in the co
aleksley [76]

Answer-

<em>The price of gas will be</em><em> $4.2</em>

Solution-

Gas prices in shelby county = $3.00 per gallon

Market scientist predicts a 40% increase in the price of gas in the coming month.

So the new price will be,

=3+(3\times \dfrac{40}{100})

=3+(3\times 0.4)

=3+1.2

=4.2

Therefore, the price of gas will be $4.2


5 0
3 years ago
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imagine that the number 2 button on your calculator is damaged and cannot be used.use a flow chart to show 3 different ways in w
Whitepunk [10]
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4 0
3 years ago
6 fall between what two intergers
topjm [15]

Answer:

5 and 7

Step-by-step explanation:

5 and 7 are the nearest integers, and 6 is right in between them

7 0
3 years ago
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If 5x-8w=9, then solve for x, in terms of w and z
babymother [125]

Answer:

Step-by-step explanation:

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5x = 9+8w

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7 0
2 years ago
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