A few days ago
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?
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A few days ago
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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