Answer:
Step-by-step explanation:
11.04 = 10(1.02)^n
1.104 = 1.02^n
ln 1.104 = ln 1.02^n
ln 1.104 = n ln 1.02
n = ln 1.104/ ln 1.02
n = 4.99630409516
4.99 can be rounded to 5.
So a reasonable domain would be 0 ≤ x < 5
PART B)
f(0) = 10(1.02)^0
f(0) = 10(1)
f(0) = 10
The y-intercept represents the height of the plant when they began the experiment.
f(1) = 10(1.02)^1
f(1) = 10(1.02)
f(1) = 10.2
(1, 10.2)
f(5) = 10(1.02)^5
f(5) = 10(1.1040808)
f(5) = 11.040808
f(1)=10(1.02)^1
f(1)=10.2
Average rate= (fn2-fn1)/(n2-n1)
=11.04-10.2/(5-1)
=0.22
the average rate of change of the function f(n) from n = 1 to n = 5 is 0.22.
Answer:
12, 2
Step-by-step explanation:
<u>Define x:</u>
Let the cost of the ball be x.
Ball = x
Bat = x + 0.1
<u>The total cost is $1.10:</u>
x + x + 0.1 = 1.1
2x + 0.1 = 1.1
2x = 1
x = 0.5
<u>Find the cost of the bat and the ball:</u>
ball = x = $0.50
bat = x + 0.1 = 0.5 + 0.1 = $0.60
Answer: The ball cost $0.50
Answer:
Inequality:
Set Notation:
Interval:
Step-by-step explanation:
Given
The Attached Number Line
Solving (a): The Inequality
i. On the number line, we notice that a thick line starts at number 3 and points to the right
ii. Also, there is a closed circle on number 3.
(i) & (ii) indicates that
Solving (b): Set Notation
The set notation that indicates is
Solving (c): The interval notation
The inequality implies that x starts from 3 and moves towards +infinity
The means that 3 is inclusive of the inequality
Hence:
The interval notation is
Answer:
p=2
Step-by-step explanation:
-7p = -3p - 8
Add 3p to each side
-7p+3p = -3p+3p - 8
-4p = -8
Divide each side by -4
-4p/-4 = -8/-4
p = 2