In planning her retirement,liza deposits some money at 3% interest, with twice as much deposited at 4.5%. Find the amount demosited at each rate if the toral annual interest income in $2160

Respuesta :

The amount deposited at each rate if the annual interest income in $2160 such as $36000 was deposited at 2.5% and $18000 was deposited at 4.5%.

How to get the resultant deposited amount?

Resultant deposited amount = Deposited amount - The amount deducted.

Let us assume $x is a deposit at 3% interest.

At the rate of 4.5% deposited amount is twice the amount deposited at 2.5%.

Therefore, at the rate 4.5% deposited amount = $2x.

In planning her​ retirement, Liza deposits some money at 3​% ​interest, with twice as much deposited at 4.5​%.

0.03x + 0.045(2x) = $2160

0.12x = $2160  

x = $18,000 at 3%  

2x = $36,000 at 4.5%  

Therefore,

$36000 was deposited at 2.5% and $18000 was deposited at 4.5%.

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