Answer:
a_1 = 0
a_2 = -1
a_3 = -6
a_4 = -31
a_5 = -156
Step-by-step explanation:
a_n=(5a_n-1)-1
a_1 = 0
to find a2 substitute a1
a_2 = (5* a_1)-1
a_2 = 5* 0 -1
a_2 = 0-1
a_2 = -1
to find a3 substitute a2
a_3 = (5* a_2)-1
a_3 = (5* -1 ) -1
a_3 = -5 -1
a_3 = -6
to find a4 substitute a3
a_4 = (5* a_3)-1
a_4 = (5* -6 ) -1
a_4 = -30 -1
a_4 = -31
to find a5 substitute a4
a_5 = (5* a_4)-1
a_5 = (5* -31 ) -1
a_5 = -155 -1
a_5 = -156
price after discount- $44-$11=$33
amount of tip- $4.95
bill after discount and tip- $37.95
amount of tax- $2.83
total bill- $40.78
The inequalities and the points are
- y + 2 ≤ 5x: (5, -2) and (10, 1)
- y + x > -4: (5, -2) and (10, 1)
- y ≤ 1/3x: (5, -2) and (10, 1))
<h3>How to graph the
system of inequalities?</h3>
The system of inequalities is given as:
y + 2 ≤ 5x
y + x > -4
y ≤ 1/3x
Next, we plot each inequality in the system of inequalities using a graphing calculator
See attachment for the graph of the system of inequalities y + 2 ≤ 5x, y + x > -4 and y ≤ 1/3x
From the attached graph, we have the following points:
y + 2 ≤ 5x: (5, -2) and (10, 1)
y + x > -4: (5, -2) and (10, 1)
y ≤ 1/3x: (5, -2) and (10, 1)
Read more about inequalities at:
brainly.com/question/24372553
#SPJ1
Answer:
175 means the city's population is 175 thousands in 2010.
Step-by-step explanation:
The model below gives the projection of the city's population , P, in thousands, with respect to time, t, in years, where 2010 corresponds to t=0.
The given equation is

We need to interpret 175 for the given model.
Substitute t=0 in the above equation.


At t=0 the value of P is 175 it means the city's population is 175 thousands in 2010.
The answer is Pi funny joke though