A country's population in 1993 was 72 million. In 1996 it was 76 million. Estimate the population in 2003 using exponential growth.
Answers
P = Po exp(kt)
Using the population data from 1993 to 1996, we can solve for the growth rate k
76 = 72 exp(k(3))
76/72 = exp(3k)
ln (76/72) = 3k
k = ln(76/72) / 3 = 0.0180
In 10 years (2003), the population will be:
P = Po exp(0.0180t)
P = 72 exp(0.0180(10))
P = 86.22 million
Hagrid is correct but its asking to the nearest million so it's 86 mill so just type in 86 then press enter
Related Questions
Reuben is making a replica of the US flag for his school project.He uses a scale of 0.5 centimeter to 1 inch to draw the flag. The length of the scale drawing is 2.5 centimeters, and its width is 4.75 centimeters. The perimeter of the scale drawing is 7.25 or 11.875 or 14.5 or 47.5 centimeters. The perimeter of the actual flag is 14.5 or 29 or 47.5 or 95 inches.
If x / y is an integer, which of the following statements must be true?A. both x and y are integers B. x is an integer C. either x or y is negative D. y / x is an integer E. x = ny where n is an integer
Calculate cos theta to two decimal places
Please please I need help
6x3 − 24x2 + 6x − 36
6x3 + 24x2 − 6x + 36
6x3 − 24x2 + 6x + 12
Answers
(2x - 6) * (3x^2 - 3x - 6) = 2x * 3x^2 - 2x * 3x - 2x * 6 - 6 * 3x^2 + 6 * 3x + 6 * 6 = 6x^3 - 6x^2 - 12x - 18x^2 + 18x + 36 = 6x^3 - 24x^2 + 6x + 36
The correct result would be 6x^3 - 24x^2 + 6x + 36.
Answer:
Option A is correct.
Correct simplification of the given expression =
Step-by-step explanation:
Given the expression:
The following steps required for the multiplication of polynomials are:
- Distribute each terms of the first polynomial to every term of the second polynomial.
- Combine like terms
Apply these steps to the given expressions;
when you multiply two terms together you must multiply the coefficient (numbers) and add the exponent.
⇒
Combine like terms;
Therefore, the correct simplification of the given expression is,
Answers
1 to 10 :1
70 to 79:10
1 to 100:1×9+10=19
700 to 799:100
1 to 999:8×19+100=252
intergers with no 7=999-252=747
Numerical Answers Expected!
Answer for Blank 1:
Question 2 Maya and Sally were the two finalists in a singing competition. The person with the most votes from the audience was chosen as the winner. Sally received 25% of the total votes and lost by 62,500 votes. No person in the audience was allowed to vote more than once. The equation below represents this situation, where y is the total number of votes cast and x is the number of votes Maya received.
x - 62,500 = 0.25y
If a total of 125,000 people voted, how many votes did Maya receive?
Numerical Answers Expected!
Answers
x - Tim`s age, y - Coach Johnson`s age:
x + 10 = y
2 * ( x - 3 ) = y - 3
-----------------------
2 x - 6 = x + 10 - 3
2 x - x = 7 + 6
x = 13
Tim is 13 years old.
Question 2:
x - 62,500 = 0.25 * 125,000
x - 62,500 = 31,250
x = 31,250 + 62,500
x = 93,750
Maya received 93,750 votes.
Answers
x+0.9-large bag
5(x+0.9)+3(x)=17.22
5x+4.5+3x=17.22
8x=12.72
x=1.59
the small bag costs 1.59 while the big bag costs 2.49
hopw this helps :)
Answers
The two consecutive odd integers are 15 and 17.
What is a number system?
A numeral system is a way of writing numbers; it's a way of mathematically notating a set of numbers by using a consistent set of digits or other symbols. In various numeral systems, the same set of symbols may represent various numbers.
Given that two consecutive odd integers have a sum of 32.
Let
x = first consecutive odd
x + 2 = second consecutive odd
Based on the problem, we equate
x + (x + 2) = 32
Solving for x,
2x + 2 = 32
2x = 32 - 2
2x = 30
x = 30/2
x = 15
and x + 2 = 15 + 2 = 17
Therefore, the two consecutive odd integers are 15 and 17.
To know more about a number system follow
#SPJ5
x = first consecutive odd
x + 2 = second consecutive odd
Based on the problem, we equate
x + (x + 2) = 32
Solving for x,
2x + 2 = 32
2x = 32 - 2
2x = 30
x = 30/2
x = 15
and x + 2 = 15 + 2 = 17
Therefore, the integers are 15 and 17.
Answers
The initial term of the sequence is 15. The common difference is 3, so the n-th term (an) is
... an = 15 + 3(n-1)
For n=14, the 14th term of the sequence is
... a14 = 15 + 3(14 -1) = 54
The sum of terms is the average of the first and last, multiplied by the number of terms:
... sum = (15 + 54)/2·14 = 7·69 = 483
The appropriate answer choice is
... 54; 483