Which of the following terms best describes the set of all points in a plane for which the difference between the distances of a
given point to two fixed foci equals a certain constant?
1 answer:
Answer:
HYPERBOLA
Step-by-step explanation:
We have the statement,
'The set of all points in a plane for which the difference between the distances of a given point to two fixed foci equals a certain constant'.
We know that,
Hyperbola is the set of points such that for point P anywhere on the curve, the absolute distance to the two fixed points is a constant.
i.e. From the figure, we see that, the difference of the distance of P from and
is equal to constant 2a.
Thus, the term representing the given statement is HYPERBOLA.
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Given the two options above, in order to come up with the best plan we have to calculate the future value of money in each plan.
compound interest is given by:
Option 1
p=$500
r=2%=0.02
t=1 year
Option 2
p=$500
r=2/12=1/6
n=1*12=12
hence:
=$509.09
Comparing the two plans above, option 1 is the best.
b] Option 1 is the best because she will secure $510 as compared to option 2 which has interest rate that reduces her amount by $1 after one year due to annual charges. The total amount of money she will have at the end of the plan is $510.
compound interest is given by:
Option 1
p=$500
r=2%=0.02
t=1 year
Option 2
p=$500
r=2/12=1/6
n=1*12=12
hence:
=$509.09
Comparing the two plans above, option 1 is the best.
b] Option 1 is the best because she will secure $510 as compared to option 2 which has interest rate that reduces her amount by $1 after one year due to annual charges. The total amount of money she will have at the end of the plan is $510.
Answer:
or
Step-by-step explanation:
Multiply both sides of the equation by
Simplify both sides of the equation.
or
<em>hope this helps :)</em>