First isolate the x. Always remember that the way you do this is the opposite of the what is happening to the number you want to move.
You want to move the -5 from the left side to the right side by doing the opposite and adding it to both sides.
Like: 27x-5=-5+11
27x-5+5=11+5
So 27x=11 Continue to isolate the variable
Answer:
7x+39>=53 and 16x+ 15>31 x>=2 (no solutions exist)
Step-by-step explanation:
2 for number 1, 3 for number 2
Step-by-step explanation:
1/2 or 0.5×4=2 and 3/4 or 0.75×4=3
Answer:
3. r = -8
4. x = -5
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
Step-by-step explanation:
<u>Step 1: Define equation</u>
2(-5r + 2) = 84
<u>Step 2: Solve for </u><em><u>r</u></em>
- Divide 2 on both sides: -5r + 2 = 42
- Subtract 2 on both sides: -5r = 40
- Divide -5 on both sides: r = -8
<u>Step 3: Check</u>
<em>Plug in r into the original equation to verify it's a solution.</em>
- Substitute in <em>r</em>: 2(-5(-8) + 2) = 84
- Multiply: 2(40 + 2) = 84
- Add: 2(42) = 84
- Multiply: 84 = 84
Here we see that 84 does indeed equal 84.
∴ r = -8 is a solution of the equation.
<u>Step 4: Define equation</u>
264 = -8(-8 + 5x)
<u>Step 5: Solve for </u><em><u>x</u></em>
- Divide both sides by -8: -33 = -8 + 5x
- Add 8 to both sides: -25 = 5x
- Divide 5 on both sides: -5 = x
- Rewrite: x = -5
<u>Step 6: Check</u>
<em>Plug in x into the original equation to verify it's a solution.</em>
- Substitute in<em> x</em>: 264 = -8(-8 + 5(-5))
- Multiply: 264 = -8(-8 - 25)
- Subtract: 264 = -8(-33)
- Multiply: 264 = 264
Here we see that 264 does indeed equal 264.
∴ x = -5 is a solution of the equation.
Principal, P= 4000
interest = 6%/4 = 0.015 (per quarter)
Number of periods, n = 5*4 =20 quarters
Compound interest formula:
Future value:
to the nearest cent.
