Question

Question #230dc

Answer 1

The Amt. deposited at `4.5%" is "100xx200=$20000`,

whereas, that deposited at `5%" is "$40000`.

Explanation:

Suppose that, Liza deposits `$100x" at "4.5%`.

`:.," by given, the amount deposited at "5%" must be "$200x"`.

Now, recall that,

`"Interest"=("Principal" xx "Rate" xx "Year")/100`

`:." Annual Income "I_1" of Interest from Deposit "$100x` is,

`I_1={(100x)(4.5)(1)}/100=$4.5x.`

Similarly, Deposit `$200x` gives

`"Interest I_2="$10x`.

`:." Total Interest I="I_1+I_2=$14.5x,` which is, `$2900.`

`:. 14.5x=2900 rArr x=2900/14.5=200`

Therefore, the Amt. deposited at `4.5%" is "100xx200=$20000`,

whereas, that deposited at `5%" is "$40000`.

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