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Alexxandr [17]
2 years ago
15

Tablets are on sale for 15% off the original price (t), which can be expressed with the function p(t) = 0.85t. Local taxes are a

n additional 8% of the discounted price (p), which can be expressed with the function c(p) = 1.08p. Using this information, which of the following represents the final price of a tablet, with the discount and taxes applied, based on its original price?
Mathematics
1 answer:
SVETLANKA909090 [29]2 years ago
7 0

Using proportions, it is found that the expression that represents the final price is given as follows:

C(t) = 0.918t.

<h3>What is a proportion?</h3>

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

In this problem, we have that:

  • With the discount, the price is of 0.85t.
  • With the taxes, the price is increased by 8%, hence multiplied by 1.08.

Thus the expression for the final cost is:

C(t) = t x 0.85 x 1.08 = 0.918t.

More can be learned about proportions at brainly.com/question/24372153

#SPJ1

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ဇကis2/4 greater than or less than 2/3<br>​
kicyunya [14]

Answer: 2/4 is less than 2/3

8 0
3 years ago
Solvex2<br> - 4x=21 <br> using the zero product property.
Ierofanga [76]

Answer:

The answer is (x + 3) (x - 7) = 0

Step-by-step explanation:

x² - 4x = 21

x² - 4x - 21 = 0

x² - 7x + 3x - 21 = 0

x(x - 7) + 3(x - 7) = 0

(x + 3) (x - 7) = 0

Thus, The answer is (x + 3) (x - 7) = 0

<em><u>-TheUnknownScientist</u></em>

5 0
3 years ago
Given that tan θ ≈ −0.087, where 3 2 π &lt; θ &lt; 2 , π find the values of sin θ and cos θ.
elena-s [515]

Answer:

  • sin θ ≈ -0.08667
  • cos θ ≈ 0.99624

Step-by-step explanation:

Straightforward use of the inverse tangent function of a calculator will tell you θ ≈ -0.08678 radians. This is an angle in the 4th quadrant, where your restriction on θ places it. (To comply with the restriction, you would need to consider the angle value to be 2π-0.08678 radians. The trig values for this angle are the same as the trig values for -0.08678 radians.)

Likewise, straightforward use of the calculator to find the other function values gives ...

  sin(-0.08678 radians) ≈ -0.08667

  cos(-0.08678 radians) ≈ 0.99624

_____

<em>Note on inverse tangent</em>

Depending on the mode setting of your calculator, the arctan or tan⁻¹ function may give you a value in degrees, not radians. That doesn't matter for this problem. sin(arctan(-0.087)) is the same whether the angle is degrees or radians, as long as you don't change the mode in the middle of the computation.

We have shown radians in the above answer because the restriction on the angle is written in terms of radians.

_____

<em>Alternate solution</em>

The relationship between tan and sin and cos in the 4th quadrant is ...

  \cos{\theta}=\dfrac{1}{\sqrt{1+\tan^2{\theta}}}\\\\\sin{\theta}=\dfrac{\tan{\theta}}{\sqrt{1+\tan^2{\theta}}}

That is, the cosine is positive, and the sign of the sine matches that of the tangent.

This more complicated computation gives the same result as above.

4 0
3 years ago
2. Hanna made 5 hit out of 13 during her first baseball game. What percentage of hits did she make?
MrRa [10]

Answer:

B. 38%

Explanation:

Given parameters:

Number of hits = 5hit

Total hits = 13

Unknown:

Percentage of hits shed made = ?

Solution;

The percentage of hit made = \frac{number of hits }{Total hits} x 100

input the parameters and solve;

        Percentage of hit made = \frac{5}{13} x 100

       Percentage of hit = 38%

Percentage of hit = 38%

4 0
3 years ago
A committee of 5 people is to be chosen from a group of 6 men and 4 women. 262 committees are possible if there are no restricti
nasty-shy [4]

Oh whats that thiers something called a calculator

3 0
3 years ago
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