2. Antonio dispone de un capital de $9,000.00

en una cuenta al 4% de interés anual y o

sabiendo que el capital acumulado al cab

one de un capital de $9,000.00 dólares, del que una parte la deposita

enta al 4% de interés anual y otra al 5% anual. Calcula ambas partes

que el capital acumulado al cabo de un año es de $9,400.00 dólares.

deposit $5,000 in the account that pays 4% interest (depositar $5,000 en la cuenta que rinde 4% de interes)

deposit $4,000 in the account that pays 5% interest (depositar $4,000 en la cuenta que rinde 5% de interes)

Step-by-step explanation:

A + B = $9,000

1.04A + 1.05B = $9,400

multiply (multiplicar) -1.04 x (A + B = $9,000)

-1.04A - 1.04B = -$9,360

add (sumar) 1.04A + 1.05B = $9,400

1.04A - 1.04A + 1.05B - 1.04B = $9,400 - $9,360

0.01B = $40

B = $40 / 0.01 = $4,000

A = $5,000

p ÷ r = tan(x)

step-by-step explanation:

given that there is a figure below shows a right triangle: a right triangle is shown with hypotenuse equal to q units and the length of the legs equal to p units and r units.

graph is missing so i will create the graph as per given information.

the angle between the legs having lengths p units and q units is y degrees. the angle between the legs having lengths r units and q units is x degrees.

now we need to find about what is p ÷ r equal to.

so we can use trigonometric ratio tan(x)=[altitude]/[base] to find the value of p ÷ r, because p is the altitude and r is the base.

p ÷ r=tan(x)

hence final answer is p ÷ r=tan(x).