Question

You invest a total of $5000 between two savings accounts. Account A pays 2% annual interest and Account B pays 4% annual interest. After one year, you have earned a total of $135 in interest. How much did you invest in each account? step by step

Answer 1

umm, i dk if anyone elsa realized but u switched the A from 2% to 4% basically its supposed to be A =2%. B=4%

but u switched it can u refix it please :))

Explanation:

Answer 2

Answer: Investment in Account A = 1750

Investment in Account B = 3250

Explanation:

Here, the total investment = 5000

Let the amount invested in account A = x

Therefore, the amount invested in account B = 5000-x

In Account A, rate of interest = 4% per year

Thus, interest earn in one year

=
`(x* 4* 1)/(100)`

=
`(4x)/(100)`

Now, The interest in account B = 2% per year

Thus, the interest earn in one year

=
`((5000-x)* 2* 1)/(100)`

=
`(2(5000-x))/(100)`

Therefore, total interest =
`(4x)/(100)+(2(5000-x))/(100)`

⇒
`(4x)/(100)+(2(5000-x))/(100)=135`

⇒
`(4x)/(100)+(10000-2x)/(100)=135`

⇒
`(4x+10000-2x)/(100)=135`

⇒
`(2x+10000)/(100)=135`

⇒
`2x+10000=13500`

⇒
`2x=3500`

⇒
`x=1750`

Therefore, investment in account A = $1750

While, in account B = 5000-1750 = $3250