Answer:
the function has two distinct real roots.
Step-by-step explanation:
D=b²-4ac
D<0 No real roots
D=0 One real root
D>0 Two distinct real root.
(-5)²-4*1*-3
25+12
37
Since D is > than 0, the function has two distinct real roots.
3t + 4s = $83
4t + 1s = $50 (x 4)
16t + 4s = $200
3t + 4s = $83 (minus them£
13t = $117 (divide by 13)
t = $9
sub t into first equation.
3 x 9 = 27
27 + 4s = $83
4s = $56
s = $14
t = $9
s = $14
Answer: 113.1
Step-by-step explanation: v=4/3(pie)r^3=4/3•(pie)•3^3= 113.09734
Answer:
87,000 ; 10.6%
Step-by-step explanation:
Given the function :
P(t)=87,000e^0.106t
P(t) is an exponential function ; comparing the given function to the general form of an exponential function :
y = Ae^rt
Where,
A = initial amount ; r = growth rate ; t = time
The Given function models t years after 2010, that is the 2010 population is the initial population of the city.
Comparing the general exponential equation with the function given:
A = 87,000 = population of city in 2010
The growth rate :
rt from the general equation compares to 0.106t in the given function.
rt = 0.106t
r = 0.106
Hence, the rate of change = 0.106 * 100% = 10.6%
