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Lady_Fox [76]
3 years ago
10

Carlos has 3 times as many colored pencil as Joe. Carlos has 36 colored pencil.

Mathematics
1 answer:
nexus9112 [7]3 years ago
8 0
Joe has 12 pencils

steps:
(joes pencils represent x)
36 = 3x
36/3 = 3x/3
12 = x
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Jessica has money in two savings accounts. One rate is 11% and the other is 14%. If she has $300 more in the 14% account and the
Gelneren [198K]

Answer:

  • $272 was invested in the  savings account at 11%
  • $572  was invested in the  savings account at 14%

Step-by-step explanation:

Let the amount in the savings account with 11% interest =x

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Simple Interest= Principal X (Rate/100) X Time

Since, the time is not given, we assume an annual interest.

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Total Interest = $110

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110=(x*0.11*1)+[(x+300)*0.14*1]\\110=0.11x+0.14x+42\\110=0.25x+42\\\text{Subtract 42 from both sides}\\110-42=0.25x+42-42\\68=0.25x\\\text{Divide both sides by 0.25 to obtain x}\\\frac{68}{0.25} =\frac{0.25x}{0.25} \\x=\$272

Therefore:

  • $272 was invested in the  savings account at 11%
  • $572  was invested in the  savings account at 14%

Cheers!

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