Answer:
The second amount is 3.72
Step-by-step explanation:
Given
Required
Find Second
Substitute 9.92 for First
Express as fraction
Multiply both sides by 9.92
Answer:
$600
Step-by-step explanation:
A = P(1 + rt)
P is the Principal amount of money to be invested at an Interest Rate R% per period for t Number of Time Periods.
A= 5,000(1+ 0.08x1.5) = $5600
Separate the vectors into their <em>x</em>- and <em>y</em>-components. Let <em>u</em> be the vector on the right and <em>v</em> the vector on the left, so that
<em>u</em> = 4 cos(45°) <em>x</em> + 4 sin(45°) <em>y</em>
<em>v</em> = 2 cos(135°) <em>x</em> + 2 sin(135°) <em>y</em>
where <em>x</em> and <em>y</em> denote the unit vectors in the <em>x</em> and <em>y</em> directions.
Then the sum is
<em>u</em> + <em>v</em> = (4 cos(45°) + 2 cos(135°)) <em>x</em> + (4 sin(45°) + 2 sin(135°)) <em>y</em>
and its magnitude is
||<em>u</em> + <em>v</em>|| = √((4 cos(45°) + 2 cos(135°))² + (4 sin(45°) + 2 sin(135°))²)
… = √(16 cos²(45°) + 16 cos(45°) cos(135°) + 4 cos²(135°) + 16 sin²(45°) + 16 sin(45°) sin(135°) + 4 sin²(135°))
… = √(16 (cos²(45°) + sin²(45°)) + 16 (cos(45°) cos(135°) + sin(45°) sin(135°)) + 4 (cos²(135°) + sin²(135°)))
… = √(16 + 16 cos(135° - 45°) + 4)
… = √(20 + 16 cos(90°))
… = √20 = 2√5
The answer is n=28;
1. Subtract 14 from both sides (-n/2 = -14)
2. Multiply by 2 on both sides to get rid of the fraction (-n = -28)
3. Divide by -1 to get n by itself (n = 28)
You could also eliminate step three by multiplying by -2 instead of just 2.
Hope this helps!
