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Tatiana [17]
3 years ago
6

A total of $5000 is invested: part at 9% and the remainder at 14%. How much is invested at each rate if the annual interest is $

460?
Mathematics
1 answer:
IceJOKER [234]3 years ago
7 0

9514 1404 393

Answer:

  • $200 at 14%
  • $4800 at 9%

Step-by-step explanation:

Let x represent the amount invested at 14%. Then 5000-x is the amount invested at 9%. The interest earned is ...

  (14%)x +(9%)(5000 -x) = 460

  0.05x +450 = 460 . . . . . . . . . . simplify

  0.05x = 10 . . . . . . . . . . . . . . subtract 450

  x = 200 . . . . . . . . . . . . . . divide by 0.05

  5000-x = 5000-200 = 4800

$200 was invested at 14%; $4800 was invested at 9%.

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