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ivann1987 [24]
3 years ago
12

Samantha, a business development representative at Apricot Inc., took her client out for a dinner that cost $180.75 before taxes

. If she paid taxes of $18.08 on the meal, calculate the tax rate.
Mathematics
1 answer:
Arada [10]3 years ago
4 0

Answer:

10%

Step-by-step explanation:

Samantha is a business development representative

She took her client out for a dinner that costs $180.75 before taxes

She paid tax of $18.08 on the meal

The tax rate can be calculated as follows

= 18.08/180.75

= 0.1 ×100

= 10%

Hence the tax rate is 10%

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We have to determine the complete factored form of the given polynomial

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Let x= -1 in the given polynomial.

So, f(-1)= 6(-1)^3-13(-1)^2-4(-1)+15 = -6-13+4+15 = 0

So, by factor theorem

(x+1) is a factor of the given polynomial.

So, dividing the given polynomial by (x+1), we get quotient as 6x^2-19x+15.

So, 6x^3-13x^2-4x+15 = (x+1)6x^2-19x+15.

= (x+1)(6x^2-10x-9x+15)

=(x+1)[ 2x(3x-5)-3(3x-5)]

= (x+1)(2x-3)(3x-5) is the completely factored form of the given polynomial.

Option D is the correct answer.

5 0
3 years ago
Read 2 more answers
Evaluate the expression 11C3
butalik [34]
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If you are assuming that C is the notation for the combination. 
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3 0
3 years ago
A department store sells t-shirts for $16.00. Every month that a t-shirt doesn’t sell, the store reduces the selling price by 25
algol13

Answer:

Step-by-step explanation:

A = 25% of 16 ==\frac{25}{100}*8=\frac{1}{4}*8=2

Selling price after reduction = 16 - 2 = $14

B= 25% of 14

=\frac{25}{100}*14=\frac{1}{4}*14=\frac{7}{2}

= 3.5

Selling price = 14 - 3.5 = $10.5

C = 25% of 10.5

=\frac{25}{100}*10.5=\frac{10.5}{4}

= 2.625 = $ 2.63

Selling price = 10.5 - 2.63 = $ 7.87

5 0
3 years ago
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Joe is recording the percentages he earned on each quiz In his math class. Here are his results for the last 7 quizzes. 72, 82,
Ivenika [448]
The answer is 16 because u need to subtract the largest and the lowest
8 0
3 years ago
"A new bakery offers decorated sheet cakes for children’s birthday parties and other special occasions. The bakery wants the vol
Darya [45]

Answer:

w = 9 \text{ inches}\\l = 13\text{ inches}\\h = 3\text{ inches}      

Step-by-step explanation:

We are given the following in the question:

Volume of cake = 351 cubic inches

Let x inches be the width of cake.

Width of cake, w =

x\text{ inches}

Then, length of cake,l =

(x + 4)\text{ inches}

Height of cake,h =

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Volume of cake = Volume of cuboid

V = lwh

Putting values, we get:

351 = x(x+4)(\dfrac{x}{3})\\\\1053 = x^3 + 4x\\x^3+4x^2-1053= 0\\\\\text{For x = 9}\\(9)^3+4(9)^2-1053= 0

Thus, dimensions of cake are:

w = 9 \text{ inches}\\l = 13\text{ inches}\\h = 3\text{ inches}

3 0
3 years ago
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