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briarwilliams9668
26.06.2019 •
Mathematics
Abank loaned out $17,500, part of it at the rate of 10% annual interest, and the rest at 14% annual interest. the total interest earned for both loans was $2,170.00. how much was loaned at each rate?
$ loaned at 10% and
$ was loaned at 14%.
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Ответ:
$7 000 was loaned at 10 % and
$10 500 was loaned at 14 %
Step-by-step explanation:
Let x = amount loaned at 10 %
Then 17 500 - x = amount loaned at 14 %
0.10x = interest on 10 % loan
0.14(17 500 - x) = interest on 14 % loan
2170.00 = total interest
$7000 was loaned at 10 % and
$10 500 was loaned at 14 %
Check:
\![\begin{array}{rcl}0.10\times 7000 + 0.14(17 500 - 7000) & = & 2170\\700 + 0.14(10 500) & = & 2170\\700 + 1470 & = & 2170\\2170 & = & 2170\\\end{array}](/tpl/images/0018/0796/7c79c.png)
OK.
Ответ: