Answer:
Step-by-step explanation:
The standard equation of a hyperbola is given by:
where (h, k) is the center, the vertex is at (h ± a, k), the foci is at (h ± c, k) and c² = a² + b²
Since the hyperbola is centered at the origin, hence (h, k) = (0, 0)
The vertices is (h ± a, k) = (±√61, 0). Therefore a = √61
The foci is (h ± c, k) = (±√98, 0). Therefore c = √98
Hence:
c² = a² + b²
(√98)² = (√61)² + b²
98 = 61 + b²
b² = 37
b = √37
Hence the equation of the hyperbola is:
Answer: The dollar value of the raffle prize = 300
Step-by-step explanation:
Given: The equation T - 6P = 100 describes this relationship, where T is the expected number of tickets sold, and P is the dollar value of the raffle prize.
If T =1900
Then,
[Put T=1900 in given equation]
Hence, the dollar value of the raffle prize = 300
Answer:
$478.80
Step-by-step explanation:
We have been given that 15 players two coaches and 21 parents attend this year sports banquet the cost of each meal was $12 plus 5% sales tax.
First of all, we will find cost of each meal with tax as:
Now, we will find total persons at the sport banquet as:
To find the total cost of food for the banquet, we will multiply cost of food for each person by 38.
Therefore, the total cost of food for the banquet is $478.80.