Mrs. Jackson put a total of $10,000 into two accounts one account earns 6% simple annual interest the other account earns 6.5% simple interest after one year the two accounts earn $632 and 50 interest find how much money was invested in each account

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WaywardDelaney WaywardDelaney · Answer 1 · 2019-12-11T18:51:59+01:00

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

From Simple Interest method

Simple Interest = [tex]\dfrac{\textrm principal \times \textrm Rate\times \textrm time}{100}[/tex]

or, At 6.5 % rate

$ 50 = [tex]\dfrac{\textrm (10,000 - x ) \times \textrm 6.5\times \textrm 1}{100}[/tex]

or, 10000 - x = [tex]\frac{5000}{6.5}[/tex]

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