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Nookie1986 [14]
4 years ago
7

write an expression for the new balance using as few terms as possible. A checking account has a balance of -$126.89. A customer

makes two deposits, one 3 1/2 times the other, and then withdraws $25.
Mathematics
1 answer:
Nutka1998 [239]4 years ago
8 0

Answer:

New balance = -151.89 + 4.5x

(where x is the value of the smaller deposit)

Step-by-step explanation:

The inicial balance was -126.89.

Then, it were made two deposits, one with the value of x, and one that is 3 1/2 times the other, that is, 3.5x.

Then, the customer made a withdraw of $25.

So, The new balance can be calculated as:

New balance = inicial balance + x + 3.5x - 25

New balance = -126.89 + 4.5x - 25

New balance = -151.89 + 4.5x

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3 years ago
Given the circle with the equation (x - 3)2 + y2 = 49, determine the location of each point with respect to the graph of the cir
Bas_tet [7]
To find out if a point is inside, on, or outside a circle, we need to substitute the ordered pair into the equation of the circle:
(x-xc)^2+(y-yc)^2=r^2
where (xc,yc) is the centre of the circle, and r=radius of the circle.

If the left-hand side [(x-xc)^2+(y-yc)^2] is less than r^2, then point (x,y) is INSIDE the circle.  If the left-hand side is equal to r^2, the point is ON the circle.
Finally, if the left-hand side is greater than r^2, the point is OUTSIDE the circle.

For the given problem, we have xc=3, yc=0, or centre at (3,0), r=sqrt(49)=7
(x-xc)^2+(y-yc)^2=r^2 => (x-3)^2+y^2=7^2

A. (-1,1), 
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B. (10,0)
(x-3)^2+y^2=7^2 => (10-3)^2+0^2=49+0=49  [on circle]

C. (4,-8)
(x-3)^2+y^2=7^2 => (4-3)^2+(-8)^2=1+64=65 > 49  [outside circle]


5 0
3 years ago
What is the discriminant of the quadratic equation 0 = –x2 + 4x – 2?
Elis [28]
The formula to find the discriminant equals D = b^2-4ac. 
(Quadratic equations have the formula ax^2+bx+c. A = -1, B = +4, C = -2.)

D = 4^2-4(-1)(-2). 8-8 = 0. 

0 = 1 solution
-D = 0 solutions
+D = 2 solutions


The discriminant equals 0, also establishing that if you were asked to find the solutions, there would only be one.



6 0
4 years ago
Polynomial function P is the sum of two polynomial functions, one with degree 2 and a positive leading coefficient and one with
deff fn [24]

Answer:

As x tends to +∞, P tends to 0 and as x tends to -∞, P tends to 0.

Step-by-step explanation:

Let f(x) = ax^{2}  + bx + c and g(x) = - dx^{3} + ex^{2} + fx + g, where a, b, c, d, e, f, g all are positive coefficients.

So, the function f(x) has degree two and positive leading coefficient and g(x) has degree three and negative leading coefficient.

Now, let P = f(x) + g(x) = - dx^{3} + (a + e)x^{2}   + (b + f)x + (c + g)

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4 0
3 years ago
3.-Las 80 habitaciones de un motel se podrían alquilar todas las noches si el director cobrará
BabaBlast [244]

3) Para maximizar su beneficio diario el director debería cobrar cada habitación a €56.

4) El fabricante debería ofrecer un descuento de 150€ para maximizar su beneficio mensual.

3- Dado que las 80 habitaciones de un motel se podrían alquilar todas las noches si el director cobrara 40€ o menos por habitación, y si se cobra (40+x) € por habitación, entonces 2x habitaciones permanecerán vacantes, para determinar, si cada habitación alquilada le cuesta al director 10 € al día y cada habitación no alquilada 2 € al día, qué precio debería cobrar el director por habitación para maximizar su beneficio diario, se deben realizar los siguientes cálculos:

  • 80 x 40 - 80 x 2 = 3040
  • 70 x 50 - 10 x 10 - 70 x 2 = 3260
  • 60 x 60 - 20 x 10 - 60 x 2 = 3280
  • 65 x 55 - 15 x 10 - 65 x 2 = 3295
  • 66 x 54 - 14 x 10 - 66 x 2 = 3292
  • 64 x 56 - 16 x 10 - 64 x 2 = 3296
  • 63 x 57 - 17 x 10 - 63 x 2 = 3295

Por lo tanto, para maximizar su beneficio diario el director debería cobrar cada habitación a €56.

3) Dado que un fabricante de automóviles vende 2000 coches al mes, con un beneficio medio de 1000 € por coche, y las prospectivas de mercado indican que por cada 50 € de descuento que el fabricante ofrezca a los compradores podría vender 200 coches más al mes, para determinar cuánto descuento debería ofrecer para maximizar el beneficio mensual se debe realizar el siguiente cálculo:

  • 1000 x 2000 = 2.000.000
  • 900 x 2400 = 2.160.000
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  • 700 x 3200 = 2.240.000
  • 600 x 3600 = 2.160.000
  • 850 x 3000 = 2.550.000

Por lo tanto, el fabricante debería ofrecer un descuento de 150€ para maximizar su beneficio mensual.

Aprende más sobre matemática en brainly.com/question/25809832

4 0
3 years ago
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