Answer:
11 3/13% per annum
Step-by-step explanation:
to find rate= 100×simple interest ÷ (principal ×time)
simple interest=total amount - principal
=1,500,000-1,300,000
=200,000
=200,000 ×100÷ 1,300,000×4
=3 11/13% per annum
And integer is a whole number, negative or positive, with no decimals or fractions.
A is true.
B is true.
A rational number is a number that doesn't have an infinite number of decimal.
C is true.
D is false.
<u>The answer is D</u>
Answer:
Part A:
The graph passes through (0,2) (1,3) (2,4).
If the graph that passes through these points represents a linear function, then the slope must be the same for any two given points. Using (0,2) and (1,3). Write in slope-intercept form, y=mx+b. y=x+2
Using (0,2) and (2,4). Write in slope-intercept form, y=mx+b. y=x+2. They are the same and in graph form, it gives us a straight line.
Since the slope is constant (the same) everywhere, the function is linear.
Part B:
A linear function is of the form y=mx+b where m is the slope and b is the y-intercept.
An example is y=2x-3
A linear function can also be of the form ax+by=c where a, b and c are constants. An example is 2x + 4y= 3
A non-linear function contains at least one of the following,
*Product of x and y
*Trigonometric function
*Exponential functions
*Logarithmic functions
*A degree which is not equal to 1 or 0.
An example is...xy= 1 or y= sqrt. x
An example of a linear function is 1/3x = y - 3
An example of a non-linear function is y= 2/3x
A = {x ≥ 3}, B = {x ≤ 1}
So A∪B = {x ≥ 3 or x ≤ 1}
So for x ⊆(1,3), A∪B = ∅
Apparently, (1,3) covers the first option, a will be the answer
Step-by-step explanation:
Part C: Of the following choices, which equation is the best fit line for the data
As we can see from the data, the population size are decreased year by year, so the slope of the line of best fit must be a negative number.
So we have: C and D left.
Let x = 0, year 2005, the population size is 296 around 320, hence, we choose D.
D f(x) = -34x + 320
Part D: What is the predicted population size for the year 2010? How does that compare to the real data? Round to the nearest million.
year 2010, x =5 so let substitute x =5 into f(x) = -34x + 320
<=> f(x) = -34*5 + 320
= 150 mil
The result is smaller than the real data, (201-150 = 51 mil)
Part E: In what year is the population predicted to go extinct
the population predicted to go extinct when f(x)= 0
<=> -34x + 320 = 0
<=> x ≈ 9.4
So after 10 years, the the population predicted to go extinct
