A few days ago
Anonymous

Algebra Question, help please?

You earn 7.2% interest in one savings account and 5.3% interest in a second savings account. Your balance in each account at the end of two years is $324.75. How much money did you start with in each account? How much money did you earn from both accounts?

Top 1 Answers
A few days ago
Mitch

Favorite Answer

Let x = the money you started with in the account.

The first year you earned:

x + .053x

The second year you earned:

x + .053x + .053x

Now solve for x:

x + .053x + .053x = $324.75

1.106 x = $324.75

x = 324.75 / 1.106 = $293.62567811935 or $293.63

Second equation, same setup as the first:

x + .072x + .072x = $324.75

1.144x = $324.75

x = $324.75 / 1.144 = $283.87237762238 or $283.87

How much money did you earn in both accounts?

= ($324.75 – $293.63) + ($324.75 – $283.87)

= ($31.12) + ($40.88)

= $72.00

Good luck in your studies,

~ Mitch ~

P.S. – It doesn’t work like this in the real world because banks use a formula known as compound interest, but you’ll learn that in your higher math classes.

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