Answer:
true
Step-by-step explanation:
Given:
Hyperbola
a=55,000 km and c=81,000 km
hyperbola is the origin and the
transverse axis is horizontal
Required:
Equation of the path of a
satellite
Solution:
Formula for hyperbola, (x-h)2/a2
– (x-k)2/b2 = 1
At origin, (h, k) = (0, 0)
(x-0)2/(55000)2 – (x-0)2/(81000)2
= 1
<span>X2/12100 – y2/26244 = 250000</span>
Answer:
$200
Step-by-step explanation:
If the tax is 5%, then she pays $5 for every $100. If she paid $10 in tax, her purchase was $200.
Answer:
The number of miles at which a car rented from either company cost the same amount is <u>50 miles</u>.
Step-by-step explanation:
Let x represents the number of miles at which a car rented from either company cost the same amount. Therefore, we can have the following equation:
RC = 25 + 0.14x ....................... (1)
BC = 23 + 0.18x ...................... (2)
Where;
RC = Total cost of Rent-Me Rent-A-Car
BC = Total cost of Better Deal Rental Car
The the cost of the two companies equal where RC = BC. Therefore, we equate equations (1) and (2) and solve for x as follows:
25 + 0.14x = 23 + 0.18x
25 - 23 = 0.18x - 0.14x
2 = 0.04x
x = 2 / 0.04
x = 50
Therefore, the number of miles at which a car rented from either company cost the same amount is <u>50 miles</u>.
<u>Note:</u>
This can be confirmed for equations (1) and (2) individually by substituting for x = 50 as follows:
For equation (1):
RC = 25 + 0.14(50)
RC = 25 + 7
RC = 32
For equation (2):
BC = 23 + 0.18(50)
BC = 23 + 9
BC = 32
Therefore, RC = BC = 32 confirms the answer.
0.08 can be written as 8%
