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Vsevolod [243]
2 years ago
9

A laptop has a listed price of $843.88 before tax if the sales tax rate is 7.25% find the total cost of the laptop with sales ta

x included
Mathematics
1 answer:
Step2247 [10]2 years ago
7 0

Answer:

$905.06 dollars

Step-by-step explanation:

Given the following question:

7.25% of 843.88

In order to find the answer, we use the formula to calculate percentages, then we add that answer to the initial cost of the laptop.

\frac{p\times c}{100}
\frac{7.25\times843.88}{100}=7.25\times843.88=6118.13\div100=61.1813
61.1813
1 < 5
61.18

<u>Now add:
</u>843.88+61.18=905.06
=905.06

Which means the laptop after a 7.25% sales tax costs "$905.06 dollars."

Hope this helps.

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They would have had $50 at the beginning
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I need help with # 14 and 15 ASAP... It is due tomorrow ..can some one please help me with it
Angelina_Jolie [31]

Answer:

See explanation

Step-by-step explanation:

A. Gasoline fill-up fee = $4.50

Cost per hour = $40

Average cost = C

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Cost per h hours = $40h

Total cost = $40h + $4.50

Hence,

C = 40h+4.5

B. To plot the graph of the function, find h- and C- intercepts.

When h = 0, then C = 4.5, and we have point (0,4.5)

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Plot these two points and connect them with a straight line.

Graph is attached, but you should take only that part of the graph that corresponds to points with h > 0, because the number of hours cannot be negative

8 0
3 years ago
Describe how both the Rational Root Theorem and Descartes’ Rules of Signs help you to find the zeros of a polynomial? Give me an
MrRa [10]

Answer:

Step-by-step explanation:

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has any rational roots, then they must be of the form of (factors of a0/factors of an).

Example: F(x) = 4x² + 5x +2

If this polynomial has any rational roots, then they must be (factors of 2)/(factors of 4), so (±1, ±2)/(±1, ±2, ±4). So if this polynomial has any rational roots, they must be either: ±1, ±1/2, ±1/4, or ±2. Notice that this polynomial doesn't have to have any rational roots, but if it does, then the roots must fit the Rational Root Theorem.

Descartes' Rules of Signs:

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In this expression, the sign only changed once, between 6x² and 2x, so it will only have one positive root.

Example 2: 6x³ - 4x² + x - 6

In this expression, the sign changed 3 times (remember there is a invisible "+" sign before the 6x³), so it will have 3 positive roots.

b). In a polynomial, if you plug in "-x" for all "x", then how many times the new polynomial changes sign is how many negative roots the old polynomial have.

Example: 5x³ + 6x² - 2x - 1.

If we plug in "-x" for all "x", then we get 5(-x)³ + 6(-x)² - 2(-x) -1, which simplifies to -5x³ + 6x² + 2x -1. In this new expression, the sign changed twice, so we have two negative roots for the expression. Notice how we got one positive root the first time and two negative roots the second time, and 1 + 2 = 3. The Fundamental Theorem of Algebra states that for a nth degree polynomial, it will have n complex roots. The polynomial we worked with was a 3rd degree polynomial, and we got 1 + 2 = 3 roots in the end.

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3 years ago
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Answer:

@Genius102 has answered this already, but here it is

Step-by-step explanation:

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The steps are shown here.

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3) Quadratic Formula
4) Graphing

So basically the answer would either be 5 or -5.
5 0
3 years ago
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