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lapo4ka [179]
3 years ago
12

Ron needed to buy a new jacket for his upcoming ski trip. The ticket price of the jacket was $199.00. After the sales tax was ad

ded, the final cost was $208.95. What percent sales tax did Ron pay on his jacket
Mathematics
1 answer:
Levart [38]3 years ago
8 0

Answer: 5%

Step-by-step explanation:

Given that:

Ticket price of jacket = $199

Final price after addition of sales tax = $208.95

Percentage sales tax on the jacket =?

Final price after addition of sales tax = price of jacket + amount of sales tax paid

208.95 = 199 + amount of sales tax paid

amount of sales tax paid = 208.95 - 199

amount of sales tax paid = $9.95

Let Percentage of sales tax = x

(x / 100) * 199 = 9.95

199x / 100 = 9.95

199x = 995

x = 5

Hence percent sales tax paid = 5%

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Identify the x-intercepts of the function below f(x)=x^2+12x+24
damaskus [11]

<u>ANSWER:  </u>

x-intercepts of  \mathrm{x}^{2}+12 \mathrm{x}+24=0 \text { are }(-6+2 \sqrt{3}),(-6-2 \sqrt{3})

<u>SOLUTION:</u>

Given, f(x)=x^{2}+12 x+24 -- eqn 1

x-intercepts of the function are the points where function touches the x-axis, which means they are zeroes of the function.

Now, let us find the zeroes using quadratic formula for f(x) = 0.

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

Here, for (1) a = 1, b= 12 and c = 24

X=\frac{-(12) \pm \sqrt{(12)^{2}-4 \times 1 \times 24}}{2 \times 1}

\begin{array}{l}{X=\frac{-12 \pm \sqrt{144-96}}{2}} \\\\ {X=\frac{-12 \pm \sqrt{48}}{2}} \\\\ {X=\frac{-12 \pm \sqrt{16 \times 3}}{2}} \\\\ {X=\frac{-12 \pm 4 \sqrt{3}}{2}} \\ {X=\frac{2(-6+2 \sqrt{3})}{2}, \frac{2(-6-2 \sqrt{3})}{2}} \\\\ {X=(-6+2 \sqrt{3}),(-6-2 \sqrt{3})}\end{array}

Hence the x-intercepts of  \mathrm{x}^{2}+12 \mathrm{x}+24=0 \text { are }(-6+2 \sqrt{3}),(-6-2 \sqrt{3})

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John makes $400 per week. What does it mean for him to get a 150% salary raise? Explain in words and then give an example showin
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He’s gotten a 200$ raise
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Find the GCF of the following literal terms.<br><br> m^7n^4p^3 and mn^12p^5
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4 years ago
Vincent and Jean are two cooks who work in a village. Each of them can either bake cakes or make pizzas. Every ingredient is rea
babymother [125]

Answer:

a) Jean b) Jean c) Vincent d) Jean              

Step-by-step explanation:

We are given the following information in the question.

Vincent can bake 10 cakes or make 5 pizzas

Jean can bake 12 cake or make 8 pizzas.

a) Absolute advantage of baking cake

Jean has the absolute advantage of baking cake as he can bake more cakes as compared to Vincent.

b) Absolute advantage of making pizza

Jean has the absolute advantage of making pizza as he can make more pizzas as compared to Vincent.

In order to find comparative advantage, we find the opportunity cost which can be defined as:

\text{Opportunity Cost} = \displaystyle\frac{\text{What one sacrifices}}{\text{What one gains}}

c) Comparative advantage in baking cakes

Opportunity cost of Vincent for baking cakes = \frac{5}{10} = \frac{1}{2}

Opportunity cost of Jean for baking cakes = \frac{8}{12} = \frac{2}{3}

The less is the opportunity cost the better, hence, Vincent has comparative advantage in baking cakes.

d) Comparative advantage in making pizzas

Opportunity cost of Vincent for making pizzas = \frac{10}{5} = 2

Opportunity cost of Jean for making pizzas = \frac{12}{8} = \frac{3}{2}

The less is the opportunity cost the better, hence, Jean has comparative advantage in making pizzas.

8 0
3 years ago
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