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lozanna [386]
2 years ago
12

The sparky valley barbershop quartet made appearances in Quakertown and Doleystown. The hotel charge before taxes in Doleystown

was $500 higher than Quakertown. The tax in Quakertown is 3% and Doleystown is 6%. The total hotel tax from the two places is $480. How much did each hotel charge the Quartet before taxes?
Mathematics
1 answer:
joja [24]2 years ago
5 0

Answer:

The hotel at Qakertown charged $5000 before tax while the hotel at Doleystown charged $5,500 before tax

Step-by-step explanation:

In this question, we have a musical band that visited two different towns which hotel charge different amounts at different tax rate. We are now given the total amount in taxes and now asked to calculate what is charged in each of the towns.

Let’s proceed!

Since we do not know the amount charged in each of the towns, let the amount charged at the hotel at Quakertown be $x and the amount charged at the hotel at Doleytown be $y.

Doley charged $500 more then what is charged at Quaker.

Mathematically;

y = 500 + x •••••••••••••••(I)

Let’s now work with the taxes;

Tax rate at Doley is 6% or say 0.06; the amount of tax paid at Doley is thus 0.06y

Tax rate at Quaker is 3% or say 0.03; the amount of tax paid at Quaker is thus 0.03x

Mathematically;

0.06y + 0.03x= 480 •••••••••(ii)

We can substitute i into ii

0.06(500 + x ) + 0.03x = 480

30+ 0.06x + 0.03x = 480

30 + 0.09x = 480

0.09x = 480 - 30

0.09x = 450

x = 450/0.09

x = $5,000

y = 500 + x

y = 500 + $5000 = $5,500

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tatuchka [14]

Answer:

Length of rectangular cake = 5 cm

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Area of rectangle = 5 cm × 6 cm =30 cm²

If cake is equally distributed between Honey and Money, then areas of two parts should be equal.

So, Amount of cake that Honey and money got \frac{30}{2}=15

Share of each (Honey and Money)=15 cm²

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Let the height of cake be H.

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PLEASE ANSWER ASAP! The equation of a line is y = 2x + 3. What is the equation of the line that is parallel to the first line an
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B. Y-y1=m(X-X1)
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7 0
3 years ago
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Stan's, marks, and wayne's ages are consecutive whole numbers. stan is the youngest, and wayne is the oldest. the sum of their a
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Stan's, Mark's and Wayne's ages are 35 , 36 and 37 years respectively.

<em><u>Explanation</u></em>

Stan's, Mark's and Wayne's ages are <u>consecutive whole numbers</u> and Stan is the youngest and Wayne is the oldest.

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Equation for the given function
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Answer:

Step-by-step explanation:

hello :

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1 )  this function no exist for if : x= -2 and 1

so the denominater is : (x+2)(x-1)

so : b= 2  and c=1

2) the x- intercept is : 4

so the numerater is : (x+2)(x-4)

g(x) =0 if : (x+2)(x-4)=0

means x-4=0    ...   (  x+2 ≠ 0)

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Aliun [14]

Answer:

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Step-by-step explanation:

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