5. El valor de un producto bancario es de 15€. El lunes sube un 3%, el martes baja un 7% y el miércoles sube un 10%. ¿Con qué va
1 answer:
Answer:
El valor con el que comienza el jueves es 15.80535. El porcentaje de aumento desde el lunes es 5.369%
Step-by-step explanation:
Consideremos una cantidad x de un producto bancario, al multiplicar x por el factor (1+k%) implica un cambio de k% en el valor x. Si decimos que aumentó el valor de x, entonces k es positivo y si decimos que baja el valor de x, entonces tomamos k negativo.
Para comenzar, tenemos que x = 15. El valor con el que inicia el martes está dado por 15*(1+3%). Para calcular en cuánto comienza el miércoles, multiplicamos este valor por (1-7%). Es decir, 15*(1+3%)*(1-7%).
Finalmente, calculamos el valor inicial al jueves multiplicando por (1+10%).
Es decir,q ue el valor inicial el jueves es
Para calcular el porcentaje de aumento con respecto al lunes, dividimos este valor por el costo inicial (15). POsteriormente, restamos 1 al resultado y lo multiplicamos por 100 (así nos da un porcentaje). Si el resultado final es positivo, es un aumento, y si es negativo es una disminución. En este caso el porcentaje es
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Answer:
Step-by-step explanation:
If the bricklayer can construct the wall in its entirety in 3 hours, then he can get 1/3 of the job done in an hour.
If the apprentice can get the whole job done in 5 hours, then he can get 1/5 of the job done in an hour. If they both work together on said job, the equation is
and now we solve for x. Multiply everything by the LCM to get rid of the fractions. That would be 15x:
and doing that gives us
5x + 3x = 15 and
8x = 15 so
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Answer
24 quarts of green paint should be mixed with 4 cups of black paint.
That is (96 cups)
Step by step explanation
Jasper Green mix 4 quarts of green paint with 2/3 cups of black paint.
Let's convert 4 quarts into cups.
1 quart = 4 cups
4 quarts = 16 cups
Here mix 16 cups of green paint with 2/3 cups of black paint.
Let's use the proportion
Green paint Black paint
16 2/3
x 4
16/x =2/3 divided by 4
Cross multiplying, we get
16*4 = 2/3 x
64 = 2/3 x
x = 64/(2/3)
x = 64 * 3/2
x = 192/2
x = 96 cups
96 cups of green paint should be mixed with 4 cups of black paint.
We can covert 96 cups into quarts by dividing by 4
96/4 = 24 quarts
24 quarts of green paint should be mixed with 4 cups of black paint.
Thank you.
Since the problem is not telling us the height of Silvio, we are going to assume it is not relevant for our calculations.
Let
the altitude of the incoming plane. We know for our problem that the distance between Silvio and the tower is 3 miles, Also we know that the angle of elevation to the plane is 40°. With this information we can create a triangle as shown in the figure. We need a function that relates the angle of elevation with its opposite and adjacent sides, that function is tangent.
We can conclude that we should use the trig function tangent to model this situation; also, we can conclude that the equation that describes this situation is.
Let
We can conclude that we should use the trig function tangent to model this situation; also, we can conclude that the equation that describes this situation is