$500 is invested at 6%annual interest, compounded quarterly. When will the balance double?

48 quarters or 12 years

Step-by-step explanation:

You can use the Rule of 72 to estimate the amount of time it will take for an investment to double.

It works by dividing 72 by the interest rate per period.

The rate here is 6% but this is an annual rate yet the interest is to be compounded quarterly. You need to convert this annual rate to a quarterly rate:

= 6% / 4

= 1.5% per quarter

The amount of time it will take to double is:

= 72 / 1.5

= 48 quarters

In years that would be:

= 48 / 4

= 12 years

70,000 + 6,000 + 800 + 30

step-by-step explanation:

given : the shape of his satellite can be modeled by   where x and y are modeled in inches.

now,the given equation   is a equation of parabola.

here, coefficient of x is positive, hence the parabola opens rightwards.

on comparing this equation with standard equation , we get

in standard equation, coordinates of focus=(0,m)

thus for given equation coordinates of focus=(0,1.5)

step-by-step explanation: