Answer:
Step-by-step explanation:
Let's take a general point P(x,y). If there is a right angle at P then the slopes of the lines passing through AP and BP must be perpendicular.
Two lines of slopes m1 and m2 are perpendicular if:
m1*m2=-1
The slope of the line passing through P(x,y) and A(3,0) is:
The slope of the line passing through P(x,y) and B(-3,0) is:
Substituting in the equation:
Operating:
The locus is a circle centered at the origin with radius 3
Answer:
c. $475.67
Step-by-step explanation:
Card payments can be found using the amortization formula:
A = P(r/n)/(1 -(1 +r/1)^(-nt))
where P is the card balance, r is the annual interest rate, n=12, and t=3, the number of years to payoff.
When the calculation is repetitive, it is convenient to use a calculator or spreadsheet to do the calculations.
__
<h3>payments on each card</h3>A calculator shows the payments on the cards to be ...
Then the sum of payments is ...
$156.16 +50.04 +96.00 +173.33 = $475.53
The closest answer choice is ...
c. $475.67
_____
<em>Additional comment</em>
The payment amount can be reduced to about $458.45 by consolidating the balances to the card charging 15% interest.
The radius of cone is 2 inches
<em><u>Solution:</u></em>
<em><u>The volume of cone is given by formula:</u></em>
Where,
"V" is the volume of cone
"r" and "h" are the radius and height of cone respectively
Given that, volume of a cone is 16 pi cubic inches
Its height is 12 inches
Therefore, we get,
V = cubic inches
h = 12 inches
r = ?
<em><u>Substituting the values in formula, we get</u></em>
Since, radius cannot be negative, ignore r = -2
Thus radius of cone is 2 inches
