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Snowcat [4.5K]
3 years ago
13

82 = 4x + 14 solve for x

Mathematics
2 answers:
mamaluj [8]3 years ago
8 0

Answer: 15 = x

Step-by-step explanation: Don't be thrown off if your variable <em>x</em> appears on the right side of the equation. Just solve for <em>x</em> in the usual way by first isolating the <em>x</em> term which in this case is 4x.

Since 14 is being added to 4x we start by

subtracting 14 from both sides of the equation.

On the left, 82 - 14 is 68 and on the right, 14 - 14 cancels out.

So we have 68 = 4x.

To get <em>x</em> by itself since 4 is being multiplied by <em>x</em>,

divide both sides of the equation by 4.

On the left, 68 divided by 4 is 15 and

on the right, the 4's cancel.

So 15 = x.

34kurt3 years ago
6 0

Answer:

17

Step-by-step explanation:

82=4x+14

If you subtract 14 from both sides:

4x=68

Divide both sides by 4:

x=17

Hope this helps!

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A square with a side length of x+6 has the same perimeter as an equilateral triangle with a side length of 4 x what is the area
prohojiy [21]
The perimeter of the equilateral triangle is 3s and s=4x so the perimeter is:

12x

And we are told that the perimeter of the square is the same.  And that perimeter is 4s where s=(x+6) so that perimeter is equal to

4x+24, and again, we are told that these two values are equal so we can solve for x...

12x=4x+24

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x=3 and if x=3 then the side length is (x+6)=9

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Determine the time necessary for P dollars to double when it is invested at interest rate r compounded annually, monthly, daily,
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9514 1404 393

Answer:

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  • monthly: 8.69 years
  • daily: 8.67 years
  • continuously: 8.66 years

Step-by-step explanation:

For interest compounded in discrete intervals, the formula is ...

  A = P(1 +r/n)^(nt)

We want to find t for P=1 and A=2, so we have ...

  2 = (1 +r/n)^(nt)

  ln(2) = nt·ln(1+r/n)

  t = ln(2)/(n·ln(1+r/n))

A table of values for r=0.08 is attached.

__

For continuous compounding, the formula is ...

  A = Pe^(rt)

  t = ln(A/P)/r = ln(2)/0.08 ≈ 8.66434 . . . . years

__

  • annually: 9.01 years
  • monthly: 8.69 years
  • daily: 8.67 years
  • continuously: 8.66 years

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