<span>First, we must calculate the amount that will be available after two years. This is given by:
Amount = initial amount * (1 + interest rate)^time
Amount = 1500 * (1 + 0.05)^2
Amount = $1,653.75
Therefore, the only items you can buy using this amount are the electronics worth $1,650</span>
Answer:
The answer to your question is x = 6
Step-by-step explanation:
Equation 5x + 3x - 6 = 42
Process
Step 1. Add 6 units in both sides
5x + 3x - 6 + 6 = 42 + 6
Step 2. Simplify
5x + 3x = 48
Step 3. Simplify like terms
8x = 48
Step 4. Divide by 8 both sides
8x/8 = 48/8
Step 5. Simplify
x = 6
Answer:
Minimum angle = 108°
Step-by-step explanation:
From the figure attached,
Minimum angle to overlap the star onto itself is the angle of rotation from point A to B.
Let the angle between A and B measure a°.
If we complete a star pentagon by joining the vertices of the star,
Formula to measure the internal angle of a polygon is,
Measure of internal angle = 
Measure of ∠ABC = 
= 108°
Since, one side star divides the interior angle into three equal parts,
Measure of interior angle = 
= 36°
From ΔAOB,
m(∠OAB) + m(∠AOB) + m(∠ABO) = 180° [Sum of interior angles of a triangle = 180°]
36° + a + 36° = 180°
a + 72° = 180°
a = 180 - 72
a = 108°
Therefore, by the minimum angle of rotation of 108° star will overlap onto itself.
<span>Simplifying
2x + -3 = -1x + 3
Reorder the terms:
-3 + 2x = -1x + 3
Reorder the terms:
-3 + 2x = 3 + -1x
Solving
-3 + 2x = 3 + -1x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add 'x' to each side of the equation.
-3 + 2x + x = 3 + -1x + x
Combine like terms: 2x + x = 3x
-3 + 3x = 3 + -1x + x
Combine like terms: -1x + x = 0
-3 + 3x = 3 + 0
-3 + 3x = 3
Add '3' to each side of the equation.
-3 + 3 + 3x = 3 + 3
Combine like terms: -3 + 3 = 0
0 + 3x = 3 + 3
3x = 3 + 3
Combine like terms: 3 + 3 = 6
3x = 6
Divide each side by '3'.
x = 2
Simplifying
x = 2
answer x=2
Hope I Helped:D</span>
