Question

8. Vanessa quiere invertir $9000. Ella invierte parte en certificado de depósito pagando al 8% y

el resto en una cuenta de ahorros al 9% por año. Si el interés ganado en un año fue $750,
¿cuánto invirtió en cada una?

Answer 1

The amount invested in certificate of deposit paying at 8% was $6,000 and the amount invested in a savings account at 9% was $3,000

Explanation:

The question in English is

Vanessa wants to invest $9,000. She invests part in certificate of deposit paying at 8% and the rest in a savings account at 9% per year. If the interest earned in one year was $750, How much did you invest in each one?

Let

x -----> the amount invested in certificate of deposit paying at 8%

(9,000-x) -----> the amount invested in a savings account at 9% per year

Remember that

`8\%=8/100=0.08`

`9\%=9/100=0.09`

we know that

`750=0.08(x)+0.09(9.000-x)`

Solve for x

`750=0.08x+810-0.09x`

`0.09x-0.08x=810-750`

`0.01x=60`

`x=\$6,000`

`9,000-x=\$3,000`

therefore

The amount invested in certificate of deposit paying at 8% was $6,000 and the amount invested in a savings account at 9% was $3,000