Question

This is due in 10 minutes please help me

Answer 1

Given:

The rate of interest on three accounts are 7%, 8%, 9%.

She has twice as much money invested at 8% as she does in 7%.

She has three times as much at 9% as she has at 7%.

Total interest for the year is $150.

To find:

Amount invested on each rate.

Solution:

Suppose x be the amount invested at 7%. Then,

The amount invested at 8% = 2x

The amount invested at 9% = 3x

Total interest for the year is $150.

`x* (7)/(100)+2x* (8)/(100)+3x* (9)/(100)=150`

Multiplying both sides by 100, we get

`7x+16x+27x=15000`

`50x=15000`

Dividing both sides by 50, we get

`x=(15000)/(50)`

`x=300`

So, the amount invested at 7% is
`300`.

The amount invested at 8% is

`2(300)=600`

The amount invested at 9% is

`3(300)=900`

Hence, the stockbroker invested $300 at 7%, $600 at 8%, and $900 at 9%.