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erastovalidia [21]

3 years ago

14

Katelyn earned $205 from a holiday job to buy winter clothes. She found several items she would like to buy, but is trying to de

cide if she has enough money to buy all the items she likes. She found two sweaters for $48 each and four pairs of pants for $34 each. She will have to pay 6 ½ % sales tax.

1 answer:

Lina20 [59]3 years ago

5 0

Katelyn does not have enough money to buy items she likes.

Step-by-step explanation:

Amount Katelyn had = $205

Price of one sweater = $48

Price of 2 sweaters = 2*48 = $96

Price of one pair of pants = $34

Price of four pairs of pants = 34*4 = $136

Total price = Price of sweaters + price of pairs of pants

Total price = $96+136$

$Total\ price= \$232$

Sales tax = 6.5%

Sales tax = $\frac{6.5}{100}*232$

$Sales\ tax=\frac{1508}{100}\\Sales\ tax=15.08\ Dollars$

Total amount = Total amount of items + sales tax

Total amount = 232 + 15.08

Total amount = 247.08 Dollars

Therefore,

Katelyn does not have enough money to buy items she likes.

Keywords: Percentage, Sales tax

Learn more about sales tax at:

#LearnwithBrainly

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yan [13]

Answer:

80

Step-by-step explanation:

<u><em>A = Area of First Rectangle </em></u>

<u><em>B = Area of Second Rectangle </em></u>

<u><em>w = Width</em></u>

<u></u>

12(w)=320+B (1st Equation)

8(w) = B (2nd Equation)

w=B/8 <em><u>(Plug this value of w into the first equation)</u></em>

12B/8 = 320 +B <u><em>(you get this)</em></u>

12B= 2560 + 8B <u><em>(Simplify)</em></u>

4B = 2560

B =640 <em><u>plug this value into the 2nd equation</u></em>

8(w) = 640

w = 80

<em>To Test This</em>

12x80 = 960

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<h3>960 - 640 = 320 <u><em>Therefore the answer is correct the width is 80</em></u></h3>

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3 years ago

Evaluate the limit and express your answer in simplest form<br> tar<br> 5/4<br> 4/5<br> 2/3<br> 2/5

muminat

Answer: how do we have the same question need the answer too

Step-by-step explanation:

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4 years ago

What is 5a + 2/3= -1/6 with two step equations fractions

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Answer:

-1/6

Step-by-step explanation:

5a+2/3=-1/6

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5a=-1/6-4/6

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2 years ago

In a G.P the difference between the 1st and 5th term is 150, and the difference between the

liubo4ka [24]

Answer:

Either $\displaystyle \frac{-1522}{\sqrt{41}}$ (approximately $-238$ ) or $\displaystyle \frac{1522}{\sqrt{41}}$ (approximately $238$ .)

Step-by-step explanation:

Let $a$ denote the first term of this geometric series, and let $r$ denote the common ratio of this geometric series.

The first five terms of this series would be:

$a$ ,
$a\cdot r$ ,
$a \cdot r^2$ ,
$a \cdot r^3$ ,
$a \cdot r^4$ .

First equation:

$a\, r^4 - a = 150$ .

Second equation:

$a\, r^3 - a\, r = 48$ .

Rewrite and simplify the first equation.

$\begin{aligned}& a\, r^4 - a \\ &= a\, \left(r^4 - 1\right)\\ &= a\, \left(r^2 - 1\right) \, \left(r^2 + 1\right) \end{aligned}$ .

Therefore, the first equation becomes:

$a\, \left(r^2 - 1\right) \, \left(r^2 + 1\right) = 150$ ..

Similarly, rewrite and simplify the second equation:

$\begin{aligned}&a\, r^3 - a\, r\\ &= a\, \left( r^3 - r\right) \\ &= a\, r\, \left(r^2 - 1\right) \end{aligned}$ .

Therefore, the second equation becomes:

$a\, r\, \left(r^2 - 1\right) = 48$ .

Take the quotient between these two equations:

$\begin{aligned}\frac{a\, \left(r^2 - 1\right) \, \left(r^2 + 1\right)}{a\cdot r\, \left(r^2 - 1\right)} = \frac{150}{48}\end{aligned}$ .

Simplify and solve for $r$ :

$\displaystyle \frac{r^2+ 1}{r} = \frac{25}{8}$ .

$8\, r^2 - 25\, r + 8 = 0$ .

Either $\displaystyle r = \frac{25 - 3\, \sqrt{41}}{16}$ or $\displaystyle r = \frac{25 + 3\, \sqrt{41}}{16}$ .

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Calculate the sum of the first five terms:

$\begin{aligned} &a + a\cdot r + a\cdot r^2 + a\cdot r^3 + a \cdot r^4\\ &= -\frac{1522\sqrt{41}}{41} \approx -238\end{aligned}$ .

Similarly, assume that $\displaystyle r = \frac{25 + 3\, \sqrt{41}}{16}$ . Substitute back to either of the two original equations to show that $\displaystyle a = \frac{497\, \sqrt{41}}{41} - 75$ .

Calculate the sum of the first five terms:

$\begin{aligned} &a + a\cdot r + a\cdot r^2 + a\cdot r^3 + a \cdot r^4\\ &= \frac{1522\sqrt{41}}{41} \approx 238\end{aligned}$ .

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