Answer:
In 2012 , the population will be 15 million
Step-by-step explanation:
We start by setting up an exponential equation that defines the increase
P(t) = I(1 + r)^t
P(t) represents the present population = 15 million
I is the population in 2007 which is 13.8 million
r is 1.6% = 0.016
t is what we want to calculate
15 million = 13.8 million (1 + 0.016)^t
15/13.8 = (1.016)^t
1.09 = (1.016)^t
ln 1.09 = t ln 1.016
t = ln 1.09/ln 1.016
t = 5.429 which is approximately 5
So in 2007 + 5 = 2012, the population will be 15 million
Answer:
Domain: all real values of x
Range: all real values of y
Translation depends on the parent function
If the first function was:
y = cuberoot(x)
Then translation is:
Vertical translation 1 unit downwards
Answer:
There will be a total 40 jumps.
Step-by-step explanation:
Every jump a game piece makes measures 
.
Now, the piece starts at point A = 7 and jumps to the right.
So, the piece will jump over B = 24 after 
≈ 20 complete jumps.
Then it switches direction to the left and the piece then stops at point A.
So, there will be a total (20 + 20) = 40 jumps. (Answer)
Answer:
[see below]
Step-by-step explanation:
A function's inputs do not repeat. This means that any point with the x-value not repeated with the other points can be added to ensure that it continues as a function.
In this scenario:
{x| x ≠ -7, 4, 0, -2}
A point that does not have the x-value of -7, 0, 4, and -2 could be added to the relation to ensure it continues to be a function.
Hope this helps.
Hi there! :)
<u>Answer:</u>
The car needs <u>6 gallons</u> of gas to travel 192 miles.
Step-by-step explanation:
In order to answer your question, you'll need to use the cross product method:
32 miles → 1 gallon
192 miles → X gallons
<u>(1 × 192)</u> ÷ 32 = X gallons
<u>192 ÷ 32</u> = X gallons
<u>6</u> = X gallons
There you go! I really hope this helped, if there's anything just let me know! :)
