Voy a responder en el mismo idioma en que está la pregunta.
1) Venta con ganancia
Precio de venta 60 soles.
Ganancia = 20% del costo => costo + 0,20 * costo = precio
=> costo (1 + 0,20) = precio = 60 soles
=> costo (1,20) = 60 soles => costo = 60 soles / 1,20 = 50 soles
2) Venta con pérdida del 20%
Pérdida = 20% del costo
=> costo - precio = 20% * costo => costo - 0,20*costo = precio
=> costo ( 1 - 0,20) = 60 soles => costo * 0,80 = 60 soles
=> costo = 60 soles / 0,80 = 75 soles
3) Costo total = 50 soles + 75 soles = 125 soles
4) Ganancia total = valor total de venta - costo total
Ganancia total = 2 * 60 soles + 125 soles = 120 soles - 125 soles = - 5 soles.
El signo negativo significa que al final se perdió 5 soles en la operación.
The expected value is to get either a $5 bill or a $10 bill because of it has more of it's kind in the wallet.
Answer:
Therefore the required polynomial is
M(x)=0.83(x³+4x²+16x+64)
Step-by-step explanation:
Given that M is a polynomial of degree 3.
So, it has three zeros.
Let the polynomial be
M(x) =a(x-p)(x-q)(x-r)
The two zeros of the polynomial are -4 and 4i.
Since 4i is a complex number. Then the conjugate of 4i is also a zero of the polynomial i.e -4i.
Then,
M(x)= a{x-(-4)}(x-4i){x-(-4i)}
=a(x+4)(x-4i)(x+4i)
=a(x+4){x²-(4i)²} [ applying the formula (a+b)(a-b)=a²-b²]
=a(x+4)(x²-16i²)
=a(x+4)(x²+16) [∵i² = -1]
=a(x³+4x²+16x+64)
Again given that M(0)= 53.12 . Putting x=0 in the polynomial
53.12 =a(0+4.0+16.0+64)
=0.83
Therefore the required polynomial is
M(x)=0.83(x³+4x²+16x+64)
Plug in "8i + 15j + k" for "f", and "2i – 5j + 9k" for "e"
3(8i + 15j + k) - 2(2i – 5j + 9k)
Distribute 3 to (8i + 15j + k) & - 2 to (2i – 5j + 9k)
3(8i + 15j + k) = 24i + 45j + 3k
-2(2i - 5j + 9k) = -4i + 10j - 18k
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Simplify. Combine like terms
24i - 4i + 45j + 10j + 3k - 18k
(24i - 4i) + (45j + 10j) + (3k - 18k)
20i + 55j - 15k is your answer, or (C)
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hope this helps
9514 1404 393
Answer:
y = 5/3x +8
Step-by-step explanation:
The slope of the perpendicular line is the opposite reciprocal of the slope of the given line. The given slope is -3/5, so the perpendicular slope is ...
-1/(-3/5) = 5/3
That and the given y-intercept can be put into the slope-intercept equation ...
y = mx + b . . . . . line of slope m and y-intercept b
y = 5/3x + 8
