A population is growing continuously at a rate of 5%. If the population is now 3400, what will it be in 17 years? Round to the nearest thousand.
Answers
Answer:
In 17 years time, the initial population of 3400, and growing at a rate of 5% will be ≈ 7792
Step-by-step explanation:
Here we have that the formula for population presented as follows;
[tex]A = P(1+r)^t[/tex]
Where:
A = Population after growth
P = Original population = 3400
r = 5% = 0.05
t = Time = 17 years
Population growing at a rate of 5% is thus given by the plugging in the above values into the population growth formula thus;
[tex]A = 3400 \times (1+0.05)^{17} = 7792.86[/tex]
Since we are presenting data relating to number of people, we round alwys down as the statistics should represent the number of whole people on ground.
Therefore, in 17 years time, the initial population of 3400, and growing at a rate of 5% will be ≈ 7792.
Answer:
Step-by-step explanation:
The growth rate is exponential. We would apply the formula for exponential growth which is expressed as
y = b(1 + r)^ t
Where
y represents the population after t years.
t represents the number of years.
b represents the initial population.
r represents rate of growth.
From the information given,
b = 3400
r = 5% = 5/100 = 0.05
t = 17 years
Therefore
y = 3400(1 + 0.05)^17
y = 3400(1.05)^17
y = 3400 × 2.2920183178
y = 7800 to the nearest thousand
Related Questions
A bag contains 4 red marbles, 3 blue marbles, and 7 green marbles. If a marble is randomly selected from the bag, find the
probability that a blue marble will be drawn.
a. 1/3
b. 1/11
c. 1/7
d. 3/14
Answers
Answer:
The probability should be 3/14
Answer:
3/14
Step-by-step explanation:
If you want to find the probability of a blue marble being drawn, I would add up the total amount of marbles, which is 4+3+7=14. There are 3 blue marbles out of the 14 total marbles, and as a fraction, that would be 3/14.
Hope this helps!
Help Me! I'm not good at this! I will mark brainliest!
Answers
Answer:
1.61 * 10 ^8
3.3 * 10^-7
Step-by-step explanation:
Multiply the numbers and then add the exponents
2.3 * 10^1 * 7 * 10^6
2.3 *7 * 10^(1+6)
16.1 * 10^7
We need to make this scientific notation by moving the decimal one place to the left and adding 1 to the exponent
1.61 * 10 ^8
Multiply the numbers and then add the exponents
1.1* 10^-5 3*10^-2
1.1 *3 * 10^(-5+-2)
3.3 * 10^-7
Answer:
1. B
2. C
Step-by-step explanation:
1. 2.3 × 10¹ × 7 × 10⁶
2.3 × 7 × 10^(1+6)
16.1 × 10⁷
1.61 × 10⁸
2. 1.1 × 10^-5 × 3 × 10^-2
1.1 × 3 × 10^(-5-2)
3.3 × 10^-7
Please help me out! i have a few more of these questions, about 5
Answers
Answer: You could plot the points (0,-2) ( 1,0) ( 2,2) (3,4) ( 4,6) (5,8) ( -1,-4) (-2.-6)
Step-by-step explanation:
y= 2x - 2
x y
0 -2
1 0
2 2
3 4
4 6
5 8
-1 -4
-2 -6
Simplify.
8r(4 - p)
32r -p
32r - 8rp
32 - rp
4 - 8rp
Answers
So the right answer is of option B.
Look at the attached picture
hope it will be helpful to you...
Answer:
The second one
Step-by-step explanation:
PLS HELP I WILL MARK BRAINLIEST (EDITED) I ONLY HAVE 20 MORE MINS HELP
Step 2: Finding the area of triangles
a) The International Space Station has small cupboards that are used for storage. A cupboard door is drawn below.
a rectangle with a line going from the upper left corner to the down right corner. at the left corner, under the line is 60. under the right corner, is 30. there is a square at the down left corner
What is a formula that can be used to find the area of one triangular section of the door? How do you know the formula will work? (3 points)
Answers
Answer:
60 times 30 divided by 1/2
Step-by-step explanation:the formula will work because you will multiply to find the square amount of the square. Then divide by 2 to get back to the triangl. Hope it helps. Sry if it is wrong.
The standard New York state license plate has three letters followed by four digits. How many different
license plates are possible if the digits can't be repeated and letters can be repeated?
a
1,560,000 possible license plates
175,760,000 possible license plates
88,583,040 possible license plates
90,283,340 possible license plates
с
d
Answers
Answer:
175,760,000 possible license plates
Step-by-step explanation:
There are 3 spots where there are 26 choices each
= 26 ^3
and 4 spots where there are 10 choices each (the digits 0 through 9,
= 10 ^4
This gives:
26^3*10^4=175,760,000
Hope this Helps...!!
pls help A round trip to your favorite aunt's house is 412 miles. You went to your favorite aunt's house 2 times last week. How many miles did you travel in total?
Answers
824 miles
Step-by-step explanation:
412×2=824 miles
or you could do 412+412=824 miles
Hope that helps! If you need any further clarification then please comment down below or message me. Good luck!
412x2= 824 miles
If you visited 2 times and a round trip is 412 miles if you double that you get the amount.
Can someone help and explain A and B please...
Answers
^ this is basically the explanation for part A
- once you solve it, multiply that by $2.95 (the cost) and round it up to the nearest cent
sorry if it was a bad explanation, hope it helps aha
Remember: Use ALL numbers below or above
the true median (which was 55)
What is the UPPER quartile?
64.5
69
73
65
Answers
Answer:
upper:65 lower:44
Step-by-step explanation:
Find the hypotenuse of each Isosceles right triangle when the legs are of the given measure.
Given = 6squareroot2
Answers
Answer:
12
Step-by-step explanation:
We can use the pythagorean theorem giving us:
a^2+b^2=c^2
(6sqr2)^2 + (6sqr2)^2 = c^2
72+72=c^2
144=c^2
12=c
Amy must choose a number between 55 and 101 that is a multiple of 3, 6, and 7. Write all the numbers that she could choose. If there is more than one number, separate them with commas.
Answers
Answer:
84
Step-by-step explanation:
L.C.M. of 3,6,7=42
42×1=42
42×2=84
42×3=126
55<84<101
Please answer fast
Solve the following system of equations graphically. Click on the graph until the correct solution of the system appears.
y = -3
x - y = 8
Answers
Answer:
[tex](5,-3)[/tex]
Step-by-step explanation:
Solve by Graphing.
Graph the lines.
When we graphed them, the intercepted at point (5,-3).
The solution the the system of equations is (5,-3).
Answer:
5,-3
Step-by-step explanation:
PLS HELP ME FULL WORK SHOWN DUE
Answers
To solve this system of equations, we have to cancel out a variable:
12x-4y+28=0
16y-110=48x
Reorder:
12x-4y=-28
-48x+16y=110
Multiply first equation by 4:
4(12x-4y=-28)
-48x+16y=110
=>
48x-16y=-112
-48x+16y=110
0x+0y=-2
0=-2
This can never be true, therefore there are NO SOLUTIONS
Answer:
No Solutions
16y-110=48x
3x-y=-7
16y-110=48x
3x-y=-7
24x-8y=-55
3/4x = −1 1/4 find x
Answers
Answer:
x=11/3
Step-by-step explanation:
3/4x=11/4
3x= (11)(4)/4
3x=44/4
3x=11
x=11/3
50 points ! marking brainly to whoever gets all 5 correct !
Answers
1. 5
2. 7-3 root 3
3. 6
4. 4.24
5. 5.76
Please help!!! i attached the problem.
Answers
Answer:
y>7.5
line under inequality sign.
Step-by-step explanation:
V62 is between what pair of consecutive integers?
10 and 11
8 and 9
7 and 8
6 and 7
Answers
Answer:
7 & 8.
Step-by-step explanation:
√62 = 7.87400787401.
336 students enrolled in a freshman-level chemistry class. By the end of the semester, 6 times the number students passed as Find the number of students who passed and the number who failed
Answers
Figure A below is translated 4 units left and 1 unit down and then reflected over the y-axis. On a coordinate plane, triangle A has points (5, negative 2), (5, negative 3), (2, negative 4). Triangle B has points (negative 1, negative 3), (negative 1, negative 4), (2, negative 5). Which best explains whether figure B is the image of figure A under the specified transformations?
Figure B is not the image of figure A because the triangles are not congruent.
Figure B is not the image of figure A because the transformations were performed in an incorrect order.
There is not enough information to determine whether figure B is the image of figure A after the transformations.
Figure B is the image of figure A. The transformations were performed correctly.
Answers
Answer:
D
Step-by-step explanation:
I took the test.... Hope this helps!!!
Answer:
D
Step-by-step explanation:
hi friends Mavis here
Answers
Answer:
Hi friend
Step-by-step explanation:
which part of transilvania do u like the best
what is the measure of
Answers
Answer:
A
Step-by-step explanation:
a triangle equals 180 degrees, this is an isosceles triangle so 2 sides and the sides (opposite) angles are equal, so angle X = 180 - 70 - 70 so angle X equals 40 degrees as 180 - 140 = 40
last month he sold 50 chickens and 30 ducks for $550. this month he sold 44 chickens and 36 ducks for $532. how much does a chicken cost and how much does a duck cost ?
Answers
Answer:
cost of one chick:$8 Cost of one duck:$5
Suppose you deposit $1500 in a savings account that pays interest at an annual rate of 6% if no money is added or withdrawn from the account answer the following questions how much will be in the account in four years how much will be in the account after 16 years how many years will it take for the account to contain $2000 How many years will it take for the account to contain $2500
Answers
Answer:
In 4 years = $1,893.72
In 16 years = $3,810.53
years to contain $2,000 = 4.9371454128
years to contain $2,500 = 8.766692911
Step-by-step explanation:
In 4 years
A = 1,500 (1 + 0.06)^4
= $1,893.72
In 16 years
A = 1,500 (1 + 0.06)^16
= $3, 810.53
to find number of years
t = ln (A/P) / ln (1+r)
when A = 2,000
t = ln(2,000/1,500) / ln(1+0.06)
= 4.9371454128 years
when A = 2,500
t = ln(2,500/1,500) / ln(1+0.06)
= 8.766692911 years
PS: You can also use log in place of ln
The number of years it will take for the account to contain $2000 is 4.94 years while it will take 8.77 years to contain $2500.
Calculation of future value and the number of years it takesLet:
PV = Present value = $1,500
r = Interest rate = 6%, or 0.06
n = number of years
FVn = Future value after a certain number of years
Therefore, we have:
The amount that will be in the account in four years can be calculated using the future value (FV) formula as follows:
FV4 = PV * (1 + r)^n = $1,500 * (1 + 0.06)^4 = $1,893.72
Therefore, the amount that will be in the account in four years is $1,893.72.
The amount that will be in the account after 16 years can also be calculated using the future value (FV) formula as follows:
FV16 = PV * (1 + r)^n = $1,500 * (1 + 0.06)^16 = $3,810.53
Therefore, the amount that will be in the account after 16 years is $3,810.53.
The number of years will it take for the account to contain $2000 can be calculated using the following formula:
n = (log(FV/PV)) / (log(1+r)) = (log($2,000/$1,500)) / (log(1+0.06)) = 0.1249387366083 / 0.0253058652647703 = 4.94 years
Therefore, the number of years it will take for the account to contain $2000 is 4.94 years.
The number of years it will take for the account to contain $2500 can be calculated using the following formula:
n = (log(FV/PV)) / (log(1+r)) = (log($2,500/$1,500)) / (log(1+0.06)) = 0.221848749616356 / 0.0253058652647703 = 8.77 years
Therefore, the number of years it will take for the account to contain $2000 is 8.77 years.
Learn more about future value here: https://brainly.com/question/13504821.
#SPJ2
What type of triangle is shown below?
isosceles triangle
scalene triangle
right triangle
obtuse triangle
Answers
Answer:
scalene
Step-by-step explanation:
Its a scalene triangle
find the vertex of the parabola represented by the function f(x)= -2x^2
Answers
The vertex of this parabola is the origin or, (0 , 0)
Hope this helps !
a boat travels 3600 meters in 12 minutes what is the boats speed
Answers
Answer:
300 meters per minute
Step-by-step explanation:
If the boat travels 3600 meters in 12 minutes, it travels 300 meters in 1 minute. Hope this helps!
What is the solution to the equation below? Round your answer to two
decimal places
e^x = 5.9
Answers
Answer:.1.77
Step-by-step explanation:
e^x = 5.9
Take the natural logarithm of both sides
x = ln (59/10)
x = 1.77
Answer: x=1.77
Step-by-step explanation:
A P E X
Find the area of the trapezoid by decomposing it into other shapes.
A) 25 cm2
B) 27 cm2
C) 30 cm2
D) 35 cm2
Answers
Answer:
35 cm2
Step-by-step explanation:
Answer:
The area of the trapezoid would be 30 cm squared.
Step-by-step explanation:
PLZ HELP I’M TIMED!! I’LL GIVE BRAINLIEST- FIND THE VALUE OF Y
Answers
Answer:
131
Step-by-step explanation:
25+24=49
180-49=131
In algebra, we use an(n)___ to represent a variable.
Answers
Answer:
A letter.
You can use any letter of the alphabet, but the ones that are most commonly used are x, y, and z.
