For this case, the first thing we should do is use the following equation:
f (x) = 200 (1.03) ^ x
We substitute f (x) = 300:
300 = 200 (1.03) ^ x
We clear the value of x:
log1.03 (300/200) = log1.03 ((1.03) ^ x)
x = log1.03 (300/200)
x = 13.72
Answer:
the population will first reach 300 in about 13.72 years.
The variable s I equal to the number 2
Complete question :
On a flight New York to London an airplane travels at a constant speed. An equation relating the distance traveled in miles d to the number of hours flying t is t= 1/500d. How long will it take the airplane to travel 800 miles?
Answer:
1.6 hours
Step-by-step explanation:
Given the function :
Time t taken for flying distance d is given by:
t = 1/500 * d
Tine taken to fly 800 miles;
d = 800 miles
t = 1/500 * (800)
t = 800 / 500
t = 1.6
Hence, time t = 1.6 hours
Answer:
change in the total cost for each book printed = $15
cost to get started (before books are bought) = $1200
Step-by-step explanation:
IF the eqn is y = 15x +1200
where y represent the total cost of publishing a book (in dollars) and
x represent the number of copies of the book printed
then cost to get started (before books are bought) can be found by substitute x=0 into the eqn
y = 1200 + 15*0 = $1200
change in the total cost for each book printed will be the difference in total cost at x=0 and x=1
when x=0, y=1200
when x=1, y=1200+15*1=1215
so the change in total cost=$15
Answer:
Step-by-step explanation:
We have been given that a certain function is an inverse proportion. We are asked to find the formula for the function if it is known that the function is equal to 12 when the independent variable is equal to 2.
We know that two inversely proportional quantities are in form 
, where y is inversely proportional to x and k is constant of variation.
Upon substituting 
and 
in above equation, we will get:
Let us solve for constant of variation.
Now, we will substitute 
in inversely proportion equation as:
Therefore, the formula for the given scenario would be .
