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%
Answer:
24 cm
Step-by-step explanation:
Perimeter of equilateral triangle = 12 cm
Therefore, measure of one side of equilateral triangle = 12/3 = 4 cm
Perimeter of hexagon = 6 * measure of one side of equilateral triangle
= 6 * 4 = 24 cm
The correct answer is x^3 - 5x^2 + 16x - 80.
In order to find this, we work backwards. Start by creating true statements for each of the roots.
x = 5
x = +/-4i
Now we can solve all of these until they are statements that equal 0.
x = 5 ----> Subtract 5 from both sides
x - 5 = 0
x = +/-4i ------> Square both sides
x^2 = -16 ---> Add 16 to both sides.
x^2 + 16 = 0
Now we can use the two statements that we have and multiply them to get the polynomial.
(x - 5)(x^2 + 16)
x^3 - 5x^2 + 16x - 80
Answer:
Step-by-step explanation:
20+0.75x
20+0.75(14)
20+ 10.5 = 30.5
<span>To see 7's rank we can count the number of digits after ".". 7 is the second digit and given that the first digit represents the decimals, 7 will represent the hundreths. </span>
