Answer:
182 feet
Step-by-step explanation:
The equation that describes the motion of the hot air ballon is:

where:
is the initial altitude
v is the rate of descend of the balloon
t is the time
The balloon starts from a height of

and has a rate of descend of

Therefore, after time
t = 12 min
Its altitude will be

Answer:
(4,11)
Step-by-step explanation:
y=2x+3
y=5x-9
the first equation is equal to the second equation so
2x+3=5x-9
put like terms together
2x-5x= -9-3
-3x= -12
divide both sides by -3
.•.x=4
now, use the value of x to find the value of y like this:
y=2x+3 (x=4)
y=2(4)+3
y=8+3
y=11
therefore, the two lines intersect at the point (4,11)
Answer:

model: 
profit in year 2017: 
Step-by-step explanation:
The sales increased from 2 billion dollars to 146 billion dollars in five years, so to find the increase in billion dollars per year, we just need to divide the increase by the amount of time:

To construct a model for these sales, we can use the year 2003 as the initial point of a linear equation:

the variable y will represent the profit in billion dollars, the variable x will represent our time, so we can use (t - 2003) in its place to represent the number of years since 2003 (t is the year we want to calculate), the constant 'a' will be our rate of 28.8, and the constant 'b' is the inicial value for the year 2003, that is, 2 (billions). So we have:

In the year 2017, we would have:



87.5% of 104
87.5% x 104 = 91 homes handed out candy