Answer:
The money invested in account at 6 % rate is $ 9230.77
The money invested in account at 6.5 % rate is $ 769.23
Step-by-step explanation:
Given as :
The total amount saves in two account = $ 10,000
The two rate of interest are 6 % and 6.5 % at simple interest
The interest earn at 6 % rate = $ 632
The interest earn at 6.5 % ate = $ 50
Now, Let The amount deposit at 6 % rate = $ x
And The amount deposit at 6.5 % rate = $ 10,000 - $ x
<u>From Simple Interest method</u>
Simple Interest = ![\dfrac{\textrm principal \times \textrm Rate\times \textrm time}{100}](https://tex.z-dn.net/?f=%5Cdfrac%7B%5Ctextrm%20principal%20%5Ctimes%20%5Ctextrm%20Rate%5Ctimes%20%5Ctextrm%20time%7D%7B100%7D)
or, At 6.5 % rate
$ 50 = ![\dfrac{\textrm (10,000 - x ) \times \textrm 6.5\times \textrm 1}{100}](https://tex.z-dn.net/?f=%5Cdfrac%7B%5Ctextrm%20%2810%2C000%20-%20x%20%29%20%5Ctimes%20%5Ctextrm%206.5%5Ctimes%20%5Ctextrm%201%7D%7B100%7D)
or, 10000 - x = ![\frac{5000}{6.5}](https://tex.z-dn.net/?f=%5Cfrac%7B5000%7D%7B6.5%7D)
Or, 10000 - x = 769.23
∴ x = 10000 - 769.23
I.e x = $ 9230.77
So , At 6.5 % the amount deposit = 10,000 - 9230.77 = $ 769.23
So, At 6 % The amount deposit = $ 9230.77
Hence The money invested in account at 6 % rate is $ 9230.77
And The money invested in account at 6.5 % rate is $ 769.23 Answer