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Anastaziya [24]
3 years ago
8

Yuma needs a singer. Singer A is offering her services for an initial $50 in addition to $20 per hour. Singer B is offering his

services for initial $100 in addition to $10 per hour. When will the two singers charge the same amount of money?
Mathematics
1 answer:
hoa [83]3 years ago
8 0
Initial charge charged by the Singer A = $50
Hourly charge of Singer A = $20
Initial amount charged by Singer B = $100
Hourly rate charged by Singer B = $10
Let us assume the time after which both singers will charge the smae amount of money = x
Then
50 + 20x = 100 + 10x
20x -10x = 100 - 50
10x = 50
x = 50/10
   = 5
So after 5 hours both Singer A and Singer B will charge the same amount of money. I hope the procedure is clear to you and you can attempt such problems in future without needing any kind of help.
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Cuál sería la respuesta a esto? La señora María obtuvo un préstamo de 5 millones otorgado por un banco, para devolver el préstam
Lubov Fominskaja [6]

Answer:

La señora María debe pagar 463.635 guaraníes por concepto de intereses,

Step-by-step explanation:

Se recomienda utilizar el modelo de interés compuesto puesto que la tasa de interés es constante y periódico, dado que se conoce el monto a pedir prestado, la tasa de interés y el número de anualidades, se obtiene el monto final. La cantidad de dinero a pagar es la diferencia entre ese resultado y el monto a ser prestado.

El modelo de interés compuesto es representado por la siguiente fórmula:

C(t) =C_{o}\cdot (1+r)^{t} (1)

Donde:

C_{o} - Cantidad de dinero a prestar, medida en guaraníes.

r - Razón de interés interanual, adimensional.

t - Anualidad, medida en años.

C(t) - Cantidad de dinero asociada a la anualidad actual, medida en guaraníes.

Si sabemos que C_{o} = 5.000.000, r = 0.03 y t = 3, entonces la cantidad de dinero asociada al término del período de préstamo es:

C(3) = 5.000.000\cdot (1+0.03)^{3}

C(3) = 5.463.635

Finalmente, la cantidad de dinero a pagar por concepto de intereses es:

\Delta C = 5.463.635-5.000.000

\Delta C = 463.635

La señora María debe pagar 463.635 guaraníes por concepto de intereses,

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3 years ago
The approximate value of 5,700,000 x 200 is
vampirchik [111]

Answer:

1,140,000,000

Step-by-step explanation:

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3 years ago
What is the solution to y=12
Nimfa-mama [501]

Answer:

y=12

Step-by-step explanation:

This equation cannot be simplified further.

Hope this helped! :)

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2 years ago
What is the translation of the point to its image? A (−1, 4)→ A' (3, 3)
Gala2k [10]

Answer:

We validate that the formula to determine the translation of the point to its image will be:

A (x, y) → A' (x+4, y-1)

Step-by-step explanation:

Given

A (−1, 4)→ A' (3, 3)

Here:

  • A(-1, 4) is the original point
  • A'(3, 3) is the image of A

We need to determine which translation operation brings the coordinates of the image A'(3, 3).

If we closely observe the coordinates of the image A' (3, 3), it is clear the image coordinates can be determined by adding 4 units to the x-coordinate and subtracting 1 unit to the y-coordinate.

Thue, the rule of the translation will be:

A(x, y) → A' (x+4, y-1)

Let us check whether this translation rule validates the image coordinates.

A (x, y) → A' (x+4, y-1)

Given that A(-1, 4), so

A (-1, 4) → A' (-1+4, 4-1) = A' (3, 3)

Therefore, we validate that the formula to determine the translation of the point to its image will be:

A (x, y) → A' (x+4, y-1)

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3 years ago
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lorasvet [3.4K]

Answer:

y = x/2 - 7

Step-by-step explanation:

First, we need to find the slope of the given equation: x - 2y = 8

Subtract x from both sides

x - 2y = 8

- x        - x

-2y = 8 - x

Divide both sides by -2

-2y/-2 = (8 - x)/-2

y = -4 + x/2

The slope of this equation is 1/2

So the equation of our parallel equation is y = x/2 + b

We have to find b, so plug in the given coordinates

-6 = 2/2 + b

-6 = 1 + b

Subtract 1 from both sides

-6 = 1 + b

- 1    - 1

b = -7

Plug it back into the original equation

y = x/2 - 7

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2 years ago
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