Elijah opened a checking account with $125 and deposits $25 into it every week. He opened another checking account with $225 and deposits $35 into it every week. Write a simplified expression to represent how much he will have in both accounts after w weeks.

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jitumahi76 jitumahi76 · Answer 1 · 2020-01-17T06:33:40+01:00

Answer:

The simplified expression representing Total amount in booth account is [tex]350+60w[/tex].

Step-by-step explanation:

Given:

Amount in account 1 = $125

Amount deposited every week in Account 1 = $25

Let number of weeks be'w'

So Total Amount in account 1 will be equal to Amount in account 1 plus Amount deposited every week in Account 1 multiplied by number of weeks.

framing in equation form we get;

Total Amount in account 1 = [tex]125+25w[/tex]

Now Given:

Amount in account 2 = $225

Amount deposited every week in Account 2 = $35

So Total Amount in account 2 will be equal to Amount in account 2 plus Amount deposited every week in Account 2 multiplied by number of weeks.

framing in equation form we get;

Total Amount in account 2 = [tex]225+35w[/tex]

We need to find the expression to represent Total amount in both accounts after w weeks.

Now Total Amount will be equal to sum of Total Amount in account 1 and Total Amount in account 2

Framing in equation form we get;

Total Amount = [tex]125+25w+225+35w[/tex]

On Simplifying we get;

Total Amount = [tex]350+60w[/tex]

Hence the simplified expression representing Total amount in booth account is [tex]350+60w[/tex].