An investment of $29,000 was made by a business club. the investment was split into three parts and lasted for one year. the first part of the investment earned 8% interest, the second 6%, and the third 9%. total interest from the investments was $ 2250. the interest from the first investment was 4 times the interest from the second. find the amounts of the three parts of the investment.

The amounts of three parts of the investment are 18000, 6000, 5000 respectively.

Step-by-step explanation:

An investment of $29,000 was made by a business club.

Let the amount of first and second investment be x and y respectively. So, the amount of third investment is (29000-x-y).

The first part of the investment earned 8% interest, the second 6%, and the third 9%. Total interest from the investments was $ 2250.

On simplification we get

                 ..... (1)

The interest from the first investment was 4 times the interest from the second.

                              .... (2)

From (1) and (2) we get

Divide both sides by 0.06.

Put this value in equation (2).

The amount of third investment is

Therefore the amounts of three parts of the investment are 18000, 6000, 5000 respectively.

  21.3

step-by-step explanation:

multiplying the given equation by c/sin(25°), we get

  c = 9/sin(25°) ≈ 21.2958 ≈ 21.3

we assume "c" is the length of ab, the side opposite angle c in triangle abc.