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vivado [14]
3 years ago
15

The price of an item yesterday was $135 . Today, the price rose to $216 . Find the percentage increase.

Mathematics
2 answers:
saveliy_v [14]3 years ago
6 0

Answer:

Percentage Increase = 60%

Step-by-step explanation:

To find the percentage increase, we will use the formula below;

Percentage Increase = \frac{Increase}{Initial cost}  ×   100%

From the question given,  the initial cost = $ 135

Now, we need to find the increase;

Increase = $216 - $135 = $81

We can now proceed to insert the values and then simplify;

Percentage Increase = \frac{Increase}{Initial cost}  ×   100%

                                    =\frac{81}{135}  ×   100%

                                        =\frac{8100}{135} %

                                        =60%

Percentage Increase = 60%

                                     

Softa [21]3 years ago
5 0

Answer:

60% increase

Step-by-step explanation:

Work out the difference increase between the two numbers you are comparing.Then you increase the new number by the original number. Next you divide the increase by the original number and multiply the answer by 100. Finally divide the increase number and the original number then multiply by 100. That will give you your answer.

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Answer:

Manufacturers has to produce 63 DVD/Blu-Ray players to achieve a minimum cost of $644

Step-by-step explanation:

The cost equation is given as:

C=0.04x^2-5x+800

This is a quadratic equation in general form, which is:

y=ax^2+bx+c

Matching, we can say:

a = 0.04

b = -5

c = 800

The minimum occurs at  x=-\frac{b}{2a}

and the minimum value would be to place that "x" value into the equation.

First, we find the minimum using values of a and b:

x=-\frac{b}{2a}=-\frac{-5}{2(0.04)}=\frac{5}{0.08}=62.5

Plugging this into original, we get:

C=0.04x^2-5x+800\\C=0.04(62.5)^2-5(62.5)+800\\C=643.75

Rounding off to nearest whole number, we can say:

Manufacturers has to produce 63 DVD/Blu-Ray players to achieve a minimum cost of $644

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3 years ago
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Answer:

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Step-by-step explanation:

As you can see in the trapezoid the show you only one two sides that are equals so that's mean that the angles are congruent each other.  

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3 years ago
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Simplify the fraction and state the excluded value(s).
stira [4]

Answer:

\displaystyle \frac{7x^2 + 4x - 20}{5x + 10} = \frac{7x - 10}{5}, x \neq -2

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

<u>Algebra I</u>

  • Terms/Coefficients
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<u>Calculus</u>

Discontinuities

  • Removable (Holes)
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  • Infinite (Asymptotes)

Step-by-step explanation:

<u>Step 1: Define</u>

<u />\displaystyle \frac{7x^2 + 4x - 20}{5x + 10}<u />

<u />

<u>Step 2: Simplify</u>

  1. [Frac - Numerator] Factor quadratic:                    \displaystyle \frac{(7x - 10)(x + 2)}{5x + 10}
  2. [Frac - Denominator] Factor GCF:                        \displaystyle \frac{(7x - 10)(x + 2)}{5(x + 2)}
  3. [Frac] Divide/Simplify:                                           \displaystyle \frac{(7x - 10)}{5}, x \neq -2

When we divide (x + 2), we would have a <em>removable</em> <em>discontinuity</em>. If we were to graph the original function, we would see at x = -2 there would be a hole in the graph.

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Step-by-step explanation:

Given: Mean : \mu =0

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⇒ Standard deviation : \sigma = \sqrt{2}

The formula to calculate z is given by :-

z=\dfrac{x-\mu}{\sigma}

For x= -3

z=\dfrac{-3-0}{\sqrt{2}}=-2.12132034356\approx-2.12

The P Value =P(z

For x= 3

The P Value =P(z

\text{Now, }P(-3

Hence, the probability that a given error will be between -3 and 3=0.9660

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