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Ede4ka [16]
3 years ago
15

A store buys an item for $50 and marks it up 100%. What is the price?

Mathematics
2 answers:
Alecsey [184]3 years ago
7 0

<u>Answer</u>

     = $100


<u>Explanation</u>

Profit =  selling price  -  buying price

percentage profit = profit/buying price × 100%

100% = profit /$50

Profit = 100% × $50

           = 100/100 × $50

             = 1 × $50

              = $50

Selling price = buying price + profit

                     = $50 + $50

                     = $100

Nookie1986 [14]3 years ago
6 0
$100 

100% would be doubling it.
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Determine the singular points of the given differential equation. Classify each singular point as regular or irregular. (Enter y
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Answer:

Step-by-step explanation:

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x^3y'' + 2x^2y' + 4y

the main task here is to determine the singular points of the given differential equation and Classify each singular point as regular or irregular.

So, for a regular singular point ;  x=x_o is  located at the first power in the denominator of P(x) likewise at the Q(x) in the second power of the denominator. If that is not the case, then it is termed as an irregular singular point.

Let first convert it to standard form by dividing through with x³

y'' + \dfrac{2x^2y'}{x^3} + \dfrac{4y}{x^3} =0

y'' + \dfrac{2y'}{x} + \dfrac{4y}{x^3} =0

The standard form of the differential equation is :

\dfrac{d^2y}{dy} + P(x) \dfrac{dy}{dx}+Q(x)y =0

Thus;

P(x) = \dfrac{2}{x}

Q(x) = \dfrac{4}{x^3}

The zeros of x,x^3  is 0

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Classify each singular point as regular or irregular.

Let p(x) = xP(x)    and q(x) = x²Q(x)

p(x) = xP(x)

p(x) = x*\dfrac{2}{x}

p(x) = 2

q(x) = x²Q(x)

q(x) = x^2 * \dfrac{4}{x^3}

q(x) =\dfrac{4}{x}

The function (f) is analytic if at a given point a it is represented by power series in x-a either with a positive or infinite radius of convergence.

Thus ; from above; we can say that q(x) is not analytic  at x = 0

Q(x) = \dfrac{4}{x^3}  do not satisfy the condition,at most to the second power in the denominator of Q(x).

Thus, the point x =0 is an irregular singular point

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3 years ago
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Step-by-step explanation:

19+7÷2-5

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