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3 years ago

A sweater priced at $34.99 is on sale 25% off, find the cost with 7.5% sales tax.

Mathematics

1 answer:

Ymorist [56]3 years ago

7 0

25%=$8.74 7.5%=$2.62

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What fraction of 1 quart is 3 cups

Rasek [7]

There are two cups in one pint and there are two pints in one quart. That means that there are four cups in one quart. Three cups would be 3/4 of a quart.

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3 years ago

Simplify the expression

8_murik_8 [283]

(√3 + 1)/8 the answer to the question

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3 years ago

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Rochy deposited $400 in her checking account. She wrote a check for $400 to pay for her car note. Then , she made another deposi

AnnZ [28]

Answer:

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4 years ago

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Find all roots: x^3 + 7x^2 + 12x = 0 Show all work and check your answer.

Aliun [14]

The three roots of x^3 + 7x^2 + 12x = 0 is 0,-3 and -4

Solution:

We have been given a cubic polynomial.

$x^{3}+7 x^{2}+12 x=0$

We need to find the three roots of the given polynomial.

Since it is a cubic polynomial, we can start by taking ‘x’ common from the equation.

This gives us:

$x^{3}+7 x^{2}+12 x=0$

$x\left(x^{2}+7 x+12\right)=0$ ----- eqn 1

So, from the above eq1 we can find the first root of the polynomial, which will be:

x = 0

Now, we need to find the remaining two roots which are taken from the remaining part of the equation which is:

$x^{2}+7 x+12=0$

we have to use the quadratic equation to solve this polynomial. The quadratic formula is:

$x=\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a}$

Now, a = 1, b = 7 and c = 12

By substituting the values of a,b and c in the quadratic equation we get;

$\begin{array}{l}{x=\frac{-7 \pm \sqrt{7^{2}-4 \times 1 \times 12}}{2 \times 1}} \\\\{x=\frac{-7 \pm \sqrt{1}}{2}}\end{array}$

Therefore, the two roots are:

$\begin{array}{l}{x=\frac{-7+\sqrt{1}}{2}=\frac{-7+1}{2}=\frac{-6}{2}} \\\\ {x=-3}\end{array}$

And,

$\begin{array}{c}{x=\frac{-7-\sqrt{1}}{2}} \\\\ {x=-4}\end{array}$

Hence, the three roots of the given cubic polynomial is 0, -3 and -4

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3 years ago

Sharon wants to buy a shirt that costs $60. The sales tax is 5%. How much is the sales tax? What is her total cost for the shirt

Ivahew [28]

Answer:

$3 sales tax

$63 total cost

Step-by-step explanation:

5% of 60 is 3, so that'd be 60 + 3 which is 63, or $63

hope this helps!!!

stay safe!!!

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3 years ago

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