Find the future value of $50,000 at 6% compounded semiannually for ten years.

$ 90305.56

Step-by-step explanation:

To find the future value of the amount, use the compound interest formula as follows:

A = P( 1 + i/m)^mn

Where; A = Future amount after n years;

P = Principal amount or amount deposited which is equal to $50, 000 in this question.

i = interest rate charge which is 6% in this case

m = number of times compounded per year, thus, m = 2 in this case since it is compounded semi-annually.

n = number of years which is 10 years in this case.

Substituting in the equation:

A = 50 000( 1 + 0.06/2) ^ 2(10)

   = $ 90305.56

answer: option a.

step-by-step explanation:

you know that the quadrilateral opqr ( a four sided figure) is inscribed in circle. this means that all its vertices are on the circle.

then, by definition, the opposite angles of the quadrilateral are supplementary, this means that the sum of their measures is 180 degrees.

you can observe in the figure that the angles ∠opq   and the angle ∠orq   are opposite, therefore:

then, can be used to d to calculate the measure of ∠opq

3100

step-by-step explanation: