In order to answer this, you need to find the equation of the line. The equation of a line is y= mx + b; mx being the slope and b being the y- intercept. The y intercept is located at (0, 20).
To find the slope, take two points. Let's use (1,40) and (2,60).
Use the slope formula: (y1 - y2)/(x1 - x2)
(60-40)/(2-1)= 20/1= 20.
The slope is 20, the equation is: y = 20x + 20.
Now plug 10 into x:
y = 20(10) + 20
y = 220
Your answer is 220.
Answer:
The function has an initial population size of 60,000 which increase at a rate of 1%
Step-by-step explanation:
Given the expression :
f(x) = 60,000(1.01)^x
Since 1.01 > 1 (exponential
The general form of an Exponential growth function.
y = p(1 + r)^x
p = 60000 = initial population
1 + r = 1.01 ; where r = growth rate
r = 1.01 - 1 ; r = 0.01 =
r = 0.01 * 100% = 1% growth rate
Required number is 
and required expression is n – 10 = 6n + 3
<h3><u>Solution:</u></h3>
Given that
Ten less than a number is three more than six times the number.
Number is represented by variable "n"
Need to determine equation and the number.
Ten less than number means subtracting 10 from the number
As number is n so ten less than number = n – 10 ------(1)
Six times the number = number multiplied by 6 = 6n
So three more than Six times the number = 6n + 3 --------(2)
As ten less than number is equal to 3 more than six times the number
=> n – 10 = 6n + 3
Solving the above expression for n we get
-10-3 = 6n – n
=> 5n = -13
Hence required number is 
and required expression is n – 10 = 6n + 3
Exact form : 5/3
decimal form : 1.6 repeating
mixed number form : 1 2/3
We're told that
a. We want to find 
. By definition of conditional probability,
By the law of total probability,
Then
(the first equality is Bayes' theorem)
b. We want to find 
.
since 
.
