After 6 years, what is the total amount of a compound interest investment of $35,000 at 4% interest, compounded quarterly? $37,153.21 $39,438.88 $44,440.71 $56,295.30

The given rate of interest is 4% compounded quarterly. This is a nominal rate of interest. To make it an effective rate of interest,

 = , where m is the number of periods in a year. There are 4 quarters in a year, so m =4. So,

 = = 0.0406

The working equation is

, where n=6, P = $35000,

F = $44,440.71

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