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3 years ago

An item is priced at $14.42. If the sales tax is 5%, what does the item cost including sales tax?

Mathematics

1 answer:

faltersainse [42]3 years ago

3 0

I would say that the answer is D 21.63

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Solve the equation for x∈Z <br><br>-x² +8x -14 ≥ 0

kenny6666 [7]

$ax^2+bx+c=0\\\Delta=b^2-4ac\\if\ \Delta < 0\ then\ no\ solutions\\if\ \Delta=0\ then\ one\ solution:x=\frac{-b}{2a}\\if\ \Delta > 0\ then\ two\ solutions:x=\frac{-b\pm\sqrt\Delta}{2a}\\================================\\\\-x^2+8x-14\geq0\ \ \ \ |multiply\ both\ sides\ by\ (-1)\ \{change\ \geq\ on\ \leq\}\\\\x^2-8x+14\leq0\\\\a=1;\ b=-8;\ c=14\\\\\Delta=(-8)^2-4\cdot1\cdot14=64-56=8 > 0\\\sqrt\Delta=\sqrt8=\sqrt{4\cdot2}=\sqrt4\cdot\sqrt2=2\sqrt2$

$x_1=\frac{-(-8)-2\sqrt2}{2\cdot1}=\frac{8-2\sqrt2}{2}=\frac{8}{2}-\frac{2\sqrt2}{2}=\boxed{4-\sqrt2}\\\\x_2=\frac{-(-8)+2\sqrt2}{2\cdot1}=\frac{8+2\sqrt2}{2}=\frac{8}{2}+\frac{2\sqrt2}{2}=\boxed{4+\sqrt2}\\\\============================$

$ax^2+bx+c=0\\\\if\ a > 0\ then\ the\ parabola\ o pen\ up\\if\ a < 0\ then\ the\ parabola\ o pen\ down\\========================\\\\a=1 > 0-therefore\ o pen\ up\ (look\ at\ the\ picture)\\\\===============================\\\\Answer:x\in\left$

$Solutions\ in\ \mathbb{Z}:\\\\\sqrt2\approx1.4\\\\threfore:4-\sqrt2\approx4-1.4=2.6\ and\ 4+\sqrt2\approx4+1.4=5.4\\\\look\ at\ the\ second\ picture:x=3\ or\ x=4\ or\ x=5\ (x\in\{3;\ 4;\ 5\})$

6 0

3 years ago

Read 2 more answers

Find the zeros of the following<br> please solve step by step<br> 1. x³+9x²+26x+24=0

Vlad1618 [11]

Answer: -4, -3, -2

Step-by-step explanation:

By inspection, we know $x=-2$ is a root.

We can thus rewrite the equation as

$(x+2)\left(\frac{x^3 + 9x^2 + 26x+24}{x+2} \right)=0\\\\(x+2)(x^2 + 7x+12)=0\\\\(x+2)(x+3)(x+4)=0\\\\x=-4, -3, -2$

3 0

1 year ago

Orlando wants to borrow $3,000 for the purchase of a used car. he has to pay back the loan after 4 years. the two loan options a

gtnhenbr [62]

The amount in simple interest is $3624 and in compound interest is $3674 the difference is of $50. So he should choose Simple interest.

<h3>What is compound and simple interest?</h3>

Simple interest is based on the principal amount of a loan or deposit. In contrast, compound interest is based on the principal amount and the interest that accumulates on it in every period.

Here we have the principle is $3000 for 4 years at the rate of interest of 5.2%. Now we will calculate the total amount by simple interest and compounded annually.

By using Simple interest:-

$\rm SI=\dfrac{P\times T\times R}{100}=\dfrac{3000\times 4\times 5.2}{100}=624$

So the total amount will be =3000+624=$3624

By using the Compound interest formula:

$A=P(1+\dfrac{r}{n})^{nt}$

$A=3000(1+\dfrac{5.2}{1})^{4}$

$A=\$3674$

The difference between the two amounts will be =3764-3624=$50

Hence amount in simple interest is $3624 and in compound interest is $3674 the difference is of $50. So he should choose Simple interest.

To know more about Compound interest Follow

brainly.com/question/24924853

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7 0

1 year ago

7x+5+ 54 how you do this

KonstantinChe [14]

Answer:

7x+59

Step-by-step explanation:

Add 5 and 54

3 0