Answer:
a) The exponential growth function
P(t) = 5,690,000(1.0287)^t
b) 6,742,868.7374 million
c) 12.04 years
d) 2439.0243902
Step-by-step explanation:
In 2012, the population of a city was 5.69 million. The exponential growth rate was 2.87% per year.
The formula for exponential growth is given as:
P(t) = Po( 1 + r) ^t
Where P = Population size after time t
Po = Initial population size
r = Growth rate in percentage
t= time in years
a) Find the exponential growth function.
P(t) = Population size after time t
Po = Initial population size = 5.69 million
r = Growth rate in percentage = 2.87% = 0.0287
t= time in years
The Exponential growth function
P(t) = 5,690,000(1 + 0.0287)^t
P(t) = 5,690,000(1.0287)^t
b) Estimate the population of the city in 2018.
From 2012 to 2018 = 6 years
t = 6 years
Hence,
P(t) = Po( 1 + r) ^t
P(t) = 5,690,000(1 + 0.0287)^6
P(t) = 5,690,000(1.0287)^6
P(t) = 6,742,868.7374 million
c) When will the population of the city be 8 million?
P(t) = 8,000,000
P(t) = Po( 1 + r) ^t
P(t) = 5,690,000(1 + 0.0287)^t
8,000,000 = 5,690,000(1 + 0.0287)^t
8,000,000 = 5,690,000(1.0287)^t
Divide both sides by 5,690,000
8,000,00/5,690,000 = 5,690,000(1.0287)^t/5,690,000
= 1.4059753954 = 1.0287^t
Take logarithm of both sides
log 1.4059753954 = log 1.0287^t
Log 1.4059753954 =t Log 1.0287
t = Log 1.4059753954/Log 1.0287
t = 12.041740264
t = 12.04 years
d) Find the doubling time.
The formula is given as 70/Growth rate
= 70/0.0287
= 2439.0243902
20z-8 please helpppp
Answer: 4(5z−2)
Step-by-step explanation: Brainliest pls
someone answer please:)
I think its saying to find out what a means
if (x ➖ y)2=441 and xy=46 find the value of x2+y2
La Distribuidora Industrial Dulzura va a seleccionar entre dos compañías para transportar su azúcar al mercado. La primera compañía cobra 49,430.00 por alquilar los camiones más 2,480.50 adicionales por cada tonelada de azúcar. La segunda compañía cobra 60,500.00 por alquilar los camiones más 1,927.20 adicionales por cada tonelada de azúcar.
Answer: La cuenta de Milla ganaría $63 más que la cuenta de Gion después de 1 año.
Diego cut 7 smaller boards of equal length from a board that is 9 and one-third feet long. How long is each of the 7 smaller boards?
Answer:
1 1/3 feet long
Step-by-step explanation:
Answer:
Each of the seven smaller boards will be 1.3 feet long
Step-by-step explanation:
We must divide 9 1/3 by 7
9 1/3 / 7 = 1.333286
We now have to round to the nearest tenth which would give us:
1.3
So our final answer would be 1.3
1. y = 5x + 2, (2,7)
y=5x−2 , y=−2x+5
Eliminate the equal sides of each equation and combine.
5x−2=−2x+5
Move all terms containing
x
to the left side of the equation.
Tap for more steps...
7x−2=5y=−2x+5
Move all terms not containing
x
to the right side of the equation.
Tap for more steps...
7x=7y=−2x+5
Divide each term by
7
and simplify.
Tap for more steps...
x=1y=−2x+5
Replace all occurrences of x in y=−2x+5 with 1.
x=1y=−2⋅1+5
Simplify −2⋅1+5.
Tap for more steps...
x=1y=3
The solution to the system of equations can be represented as a point.(1,3)
The result can be shown in multiple forms.
Point Form:(1,3)
Equation Form:
x=1,y=3
Which expression is equivalent to 15x + 3?
15(1x + 1)
5(3x + 1)
3(5x + 1)
2(15x + 3)
Sara bought 12 apples, 24 oranges, and 18 bananas for fruit baskets. If Sara wants to create the greatest number of fruit baskets that all have the same amount of fruit without any left over, how many baskets can she create?
Answer:
Step-by-step explanation:
Apples- 2
Oranges-4
Bananas- 3
In each basket
How much is 2% of 3.50
Answer:
.07
Step-by-step explanation:
3.50 * 2% = .07
or
3.50 * .02 = .07
A Sweater That normally costs $25.00 is on sale for 10 percent Off.
What will the Discount be?
what will the cost of the Sweater be?
Can Someone Please PLEASE help me??
Answer:
15.00
Step-by-step explanati
the discount is 15% because you need to subtract it
Which equation represents a graph with a vertex at (1, -6)?
A. y=3x2+6x–3
B. y=3x2-6x-3
C. y=3x2-8x-1
D. y=3x2-3x-6
Answer:
the answer is B
Answer:
its b
Step-by-step explanation:
Which of the tables represents a function?
Table A
Input Output
5 3
5 2
4 1
Table B
Input Output
1 2
3 2
5 3
Table C
Input Output
0 0
1 2
1 3
Table D
Input Output
4 2
4 3
4 4
Table A
Table B
Table C
Table D
Answer:
table b i think
Step-by-step explanation:
Geometry Question:
Find the value of x that makes N the incenter of the triangle (See attached)
Answer:
.5 or 1/2
Step-by-step explanation:
Y^2x 24^2=25^2
Y=7
7=14x
x=.5
The value of x is 0.5.
The calculation is as follows:Here we use Pythagoras Theorem
[tex]Y^2 - 24^2=25^2[/tex]
Y=7
Now
7 = 14x
So, x=.5
Therefore we can conclude that The value of x is 0.5.
Learn more: brainly.com/question/17429689
If the price of beef rose from $8.72 per pound to $9.43 per pound, what is the percent of increase? Round to the nearest percent
Answer:
8.1%
Step-by-step explanation:
Step one:
given
initial price = $8.72 per pound
final price= $9.43 per pound
Required
the % increase
Step two:
% increase= (final-initial)/initial*100
substituting we have
[tex]percent- increase= (9.43-8.72)/8.72*100\\\\percent- increase= 0.71/8.72*100\\\\percent- increase= 0.081*100\\\\percent- increase= 8.1%[/tex]
Y=|x+2|-3 find the axis of symmetry
HELP WILL MARK BRAINLIEST
Answer:
The answer is D: y = -2x + 6
Step-by-step explanation:
the y-intercept is 6, and the slope goes down 2 and right 1. -2/1 is the same as -2.
I hope this helped and if it did I would appreciate it if you marked me Brainliest. Thank you and have a nice day!
b
-
27 =43
I would really appreciate your help
Answer:
B = 70
Step-by-step explanation:
Answer:70
Step-by-step explanation:
What are the answers?
Answer:
Step-by-step explanation:
I need the statements please.
b -2 = 9/b-2
Answer ?
Step-by-step explanation:
I don't know if it's correct
I don’t understand so please HELPPPPPPPPPPPPPP
Answer:
C
Step-by-step explanation:
Okay so im going to gudie you thru So what it is asking you is to Count all the cubic squares looking things so what i can see is that You circled 169 aka C that would be correct because it cant be 11 cause it dosent look like 11 square units lol you get what im saying so the answer is C hope this HELPSS!!
By the way follow my insta. exotic. jaliyah if you need anymore help
Simplify 81 to the negative 3 fourths power. (1 point)
Question 8 options:
1)
−27
2)
negative 1 over 27
3)
27
4)
1 over 27
Answer:
negative 1 over 27
Step-by-step explanation:
81 * negative 1 over 27 = -3
Answer:
[tex] \dfrac{1}{27} [/tex]
Step-by-step explanation:
[tex] 81^{-\frac{3}{4}} = [/tex]
[tex] = \dfrac{1}{81^{\frac{3}{4}}} [/tex]
[tex] = \dfrac{1}{(\sqrt[4]{81})^3} [/tex]
[tex] = \dfrac{1}{(3)^3} [/tex]
[tex] = \dfrac{1}{27} [/tex]
plz help me asap i need help plz i will mark you as brainlist
Answer:
the third one
there are between 25 and 43 students in a class
the ratio of boys to girls is 5 : 7
how many students are in the class?
Answer:
36
Step-by-step explanation:
Since the sum of the ratios is 5+7=12 the total number of students must be divisible by 12
The only number within the given range is 36
The number of students should be in the class should be considered as the 36.
Calculation of the number of students:Since
there are between 25 and 43 students in a class
the ratio of boys to girls is 5 : 7
So here the total ratio should be like
= 5 + 7
= 12
So here the number of students should be divisible by 12
So, it should be 36
Learn more about ratio here: https://brainly.com/question/13111469
Write 41/10 as a fraction
Answer:
41/10
Step-by-step explanation:
Answer:
Based on what you asked i think the answer would be 4 1/10
Step-by-step explanation:
10/3 = x divided by -5/2
x = ?
Answer:
-4/3
have a nice day/night
Answer:
x = -25/3
Step-by-step explanation:
x divided by -5/2 is equal to x multiplied by -2/5
therefore, proportion is [tex]\frac{10}{3}[/tex] = [tex]\frac{-2x}{5}[/tex]
cross-multiply: -6x = 50
x = -50/6 or -25/3
Convert the Following: 5.4 oz=__________ mg
Answer:
153087 mg
Step-by-step explanation:
WHICH OF THE FOLLOWING IS TRUE FOR THIS SITUATION?
A recipe for 1 batch of spice mix says, “Combine 3 teaspoons of mustard seeds, 5 teaspoons of chili powder, and 1 teaspoon of salt.” How many batches are represented by the diagram? Explain or show your reasoning.
Answer:
There is no diagram for our observation. Please refine your question next time.
Step-by-step explanation:
JK has endpoints located at J(15, - 13) and K(-9, 27). What are the coordinates of the midpoint of JK?
Answer:
[tex](3,7)[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Midpoint Formula: [tex](\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})[/tex]Step-by-step explanation:
Step 1: Define
Point J (15, -13)
Point K (-9, 27)
Step 2: Find Midpoint
Simply plug in your coordinates into the midpoint formula to find midpoint.
Substitute [MP]: [tex](\frac{15-9}{2},\frac{-13+27}{2})[/tex]Subtract/Add: [tex](\frac{6}{2},\frac{14}{2})[/tex]Divide: [tex](3,7)[/tex]Factor the following by completing the square w^4-22w^2+9
Answer:
(w² - 4w - 3) (w² + 4w - 3)
Step-by-step explanation:
w² + 4w³ - 3w² -4w³ - 16w² + 12w-3w² - 12w + 9