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?

9514 1404 393

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%.

stew reads at the fastest rate of 265 words per minute.

step-by-step explanation:

it's a given that felicia reads at 260 word per minute and on connie's graph we can see that she reads 200 words per minute. since stew's table tells us that he read 795 in 3 minutes, we can divide 795 by 3 to find out how many words he reads per minute.

795/3 = 265

stew reads 265 words per minute - he reads at the fastest rate since felecia reads at 260 words per minute and connie reads at 200 words per minute.

stew (265) > felecia (260) > connie (200)

130.66 for edgedunity students