JamminJare
23.10.2020 •
Mathematics
Phyllis invested $12,500, a portion earning a simple interest rate of 5 1 4 % per year and the rest earning a rate of 5% per year. After one year the total interest earned on these investments was $645.00. How much money did she invest at each rate?
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Ответ:
$8000 at 5.25% interest rate and $4500 at 5% interest rate.
Step-by-step explanation:
Let the amounnt invested at 5.25% be "x" and amount invested at 5% = 12,500-x
The total simple interest after 1 year can expressed below as
SI = x(5.25/100)×1 + (12500-x)×5/100
645= x(5.25/100)×1 + (12500-x)×5/100
645= 0.0525x+ (12500-x)0.05
0.0525x+ 625-0.05x= 645
645-625= 0.0525x-0.05x
20= 0.0025
X= 20/0.0025
X= $8000
amount invested at 5% = 12,500-x
= 12500-8000
= $4500
Therefore, $8000 at 5.25% interest rate and $4500 at 5% interest rate.
Ответ: