Johnny's assumption is that, none of the residents of the town will live up to 231 years.
The parameters are given as:
[tex]\mathbf{P_o = 10000}[/tex]--- the population in 2005
[tex]\mathbf{r = 0.3\%}[/tex] -- the rate at which the population declines
To model a population, we make use of the following exponential function
[tex]\mathbf{P = P_o \times(1 -r)^t}[/tex]
Where P is the current population in t years.
So, we have:
[tex]\mathbf{P = 10000 \times(1 -0.3\%)^t}[/tex]
When the population reaches half of the initial population, then P = 5000.
So, we have:
[tex]\mathbf{5000 = 10000 \times(1 -0.3\%)^t}[/tex]
Divide both sides by 10000
[tex]\mathbf{0.5 = (1 -0.3\%)^t}[/tex]
[tex]\mathbf{0.5 = (0.997)^t}[/tex]
Take logarithm of both sides
[tex]\mathbf{log(0.5) = log(0.997)^t}[/tex]
Rewrite the equation as
[tex]\mathbf{log(0.5) = tlog(0.997)}[/tex]
Make t the subject
[tex]\mathbf{t = \frac{log(0.5)}{log(0.997)}}[/tex]
[tex]\mathbf{t = 231}[/tex]
This means that the population will halve its initial population in 231 years.
Johnny's assumption is that, none of the residents of the town will live up to 231 years.
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Can someone tell me the answer and how did you get it please !!!
Answer:
17.5
Step-by-step explanation:
180-110=70
70/4=17.5
Answer:
x=17.5
Step-by-step explanation:
Because a straight line is 180 degrees, subtract 110 from 180:
180-110= 70
Then divide 70 by 4:
70/4= 17.5
Hope this helps! :)
I need a answer please help me with this
Geometry
Answer:
where are answer can u say
Please help meeeeee plzzzzz
tax because the tax shows you what you paid and ect
What will be the graph of the circle (x-4)^2+(y+3)^2=16
Answer:
x + y - 5 = 0
Step-by-step explanation:
(x-4)² + (y+3)² = 16
To remove the square on the left side, we square root both sides
√(x-4)² + √(y+3)² = √16
The square will cancel the square root on the left side, while the square root of 16 is 4
(X-4) + (y+3) = 4
open the brackets
x-4+y+3=4
x + y = 4 + 4 - 3
x + y = 5
x + y - 5 = 0
I need help hurry plzzzzzz
Answer if u know will mark brainliest
Answer: Die with memories, not dreams. – Unknown
Step-by-step explanation: Go make some good memories! Be yourself
Identify the shapes in the picture
Answer:
we're are the images pls
Write 1 over 9 as a decimal and round it to 2 decimal places
Answer:
0.111
Step-by-step explanation:
1/9 as a decimal is 0.11111111 but rounded to 2 decimal places is 0.111.
Hope this helps :)
Have a good day / night
Step-by-step explanation:
1/9 converted to a decimal is 0.11111111111 to round it to any place if it is 5 or greater like this 0.55 rounded would be 0.6 because the second five is greater than four if not greater than four like this: 0.44 the rounded form will be 0.4 then get your answer!
simpifly (4^7/5^2)^3
For the equation y = 2 = – 21 find x when y = 2.
Answer: 2 = 3/4x -2 1/2
2 = 3/4•x -(2 + 1/2)
3x = 18
x = 6
Answer: Hope This Helps
Step-by-step explanation:
To find the x-intercept, substitute in 0 for y and solve for x. To find the y-intercept, substitute in 0 for x and solve for y.
x-intercept(s): (10/3 ,0)
y-intercept(s): (0−5/2)
answer this questtion
Answer:
69 degrees
Step-by-step explanation:
Answer:
21gb
Step-by-step explanation:
did the test
Please help me, I’m stuck on this question.
Solve
3h/7 − 11 =2 23/28
Solve for h, and provide your answer.
Please include explanation and all your steps toward the answer
Thank you!
3h/7-11=2×23/28
h=25/2
C D
U
Refer to the Venn diagram for the following questions.
9
What would best describe the universal set U?
A
B
6
6
3
What would best describe set A?
5
07
2
00
8
What would best describe Au B?
7
4
What would best describe An B?
Intro
<
Done
Answer:
What would best describe the universal set U?
positive integers less than 10
What would best describe set A?
prime numbers in U
What would best describe A ∪ B?
numbers in U that are prime or even
What would best describe A ⋂ B?
even prime numbers in U
Hope it helps!
The universal set is the set of all natural numbers less than or equal to 9
The description of the universal set UThe sets are given as:
A = {2, 3, 7, 5}
B = {2, 6, 8, 4}
Number 1 and 9 are outside the circles.
The universal set is the collection of all elements in the set.
i.e.
U = {1,2,3,4......9}
Hence, the universal set is the set of all natural numbers less than or equal to 9
The description of set AWe have:
A = {2, 3, 7, 5}
The elements of set A are prime numbers between 2 and 7 (inclusive)
Hence, the set A is the set of all prime numbers from 2 to 7
The description of set A u BWe have:
A = {2, 3, 7, 5}
B = {2, 6, 8, 4}
The elements of set A u B is all elements in both sets.
So, we have:
A u B = {2,3,4,5,6,7,8}
Hence, the set A u B is the set of all natural numbers from 2 to 8
The description of set A n BWe have:
A = {2, 3, 7, 5}
B = {2, 6, 8, 4}
The elements of set A n B is the common elements in both sets.
So, we have:
A n B = {2}
Hence, the set A n B is 2
Read more about Venn diagrams at:
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2√8 -3√50+√32 AHIHIHI
Answer:
-9.89949493661
Step-by-step explanation:
Explain the difference between (3) -n and (3) n
Answer:
you mean different b/n -3 and 3 ya ?ok -3 is get left of zero and positive 3 is (3>0) but -3<0
Given the value of cosine,
Cos 0=1/5
Find the value of sine
Sin(0)=
Answer:
25896
Step-by-step explanation:
A aluminum bar 4 feet long weighs 24 pounds. What is the weight of a similar bar that is 3 feet 3 inches long?
A. 29.54 LBS
B. 3 LBS
C. 19.50 LBS
D. 78 LBS
Answer:
C. 19.50 lbs
Step-by-step explanation:
3 feet 3 inches is nearly 4 feet, but is a little shorter. That means the weight of the bar will be nearly 24 pounds, but a little less.
It cannot be 29 or 78 pounds, because those weights are more than 24 pounds. It cannot be 3 pounds, because that weight is significantly less. The only viable answer choice is 19.50 pounds.
__
We assume the weight is proportional to the length. Then the weight (w) of the shorter bar will be ...
w/39 = 24/48 . . . . . weight in pounds/length in inches
w = 39(24/48) = 39/2 = 19.5
The weight of the shorter bar is 19.5 pounds.
Kacie swam for 12 hours this week at YMCA pool. 25% of her pool time was spent on tree swim. The rest was in swimming classes. How many hours did Kacie spend in swimming classes?
Answer:
9 hours
Step-by-step explanation:
25% of 12 is 1/4 of 12.
12/4 is 3.
25% of 12 is 3.
12-3=9
1. If you were to shade all the numbers that are divisible by 2 and by 3 in this multiplication table which rows would be completely shaded? Why?
Answer:
The ones that are divisible by 6
Step-by-step explanation:
If it is even, divisible by 2
If the sum of digits is divisble by 3, it would be divisible.
These examples are 6, 12, 18, 24, 30, 36, 42, 48, 54, 60, 66, 72, 78, 84, 90, 96.
You are welcome,
Kayden Kohl
8th Grade
10 to the power of -2 as a fraction
Answer:
Step-by-step explanation:
10 to the power of -1 = 0.1
10 to the power of -2 = 0.01
0.01 as a fraction =
1/10000
because
10 = 1/10 or 10/100
1= 1/100
0.1 = 1/1000
0.01 - 1/10000
Answer:
1/100
Step-by-step explanation:
10^2 is 100 so 10^-2 would be 0.01 or 1/100
Which graph shows a set of ordered pairs that represents a function?
Answer:
1
2
3
4
5 6 7 8 9
6
7
8
9
Step-by-step explanation:
thats how you do it : ))))
if 14 karat gold necklace weighs 1.8 ounces how many ounces of pure gold does it contain
Answer:
1.05 ounces
Step-by-step explanation:
Purest gold is 24 karat
So ATQ:
(14/24) X 1.8=1.049 OR SAY 1.05(ROUNDED OFF)Use point-slope form to write the equation of a line that passes through the point
(-3, -16) with slope -
1/2
Answer:
Step-by-step explanation:
Point slope form: y - y1 = m(x -x1)
[tex]y - [-16] = \dfrac{1}{2}(x - [-3] )\\\\y + 16 = \dfrac{1}{2}(x + 3)\\\\\\y + 16 = \dfrac{1}{2}x + \dfrac{3}{2}\\\\y =\dfrac{1}{2}x+\dfrac{3}{2}-16\\\\y=\dfrac{1}{2}x +\dfrac{3}{2}-\dfrac{32}{2}\\\\\\y=\dfrac{1}{2}x - \dfrac{29}{2}[/tex]
Answer:
[tex]y= -\frac12 x +\frac{29}2[/tex]
Step-by-step explanation:
Let's start with the point- slope form:
[tex]y-y_0=m(x-x_0)[/tex]
and replace the values we have
[tex]y-(-16) = -\frac12 (x-(-3))[/tex]
We're almost there, we just need to write it in a better looking form.
[tex]y+16= -\frac12 (x+3)\\y=-\frac12 x - \frac32 + \frac{32}2\\y= -\frac12 x +\frac{29}2[/tex]
the fiah population in crystal lake increased thisnyear by 30% last year population in crystal land was 3,500 how many fish are jn the lake this year
Answer:
The population is 40,269 as of the 2020 Census, a 1.2% decrease from 2010. Crystal Lake is the largest city in McHenry County, part of the Chicago metropolitan
Step-by-step explanation:
Can someone help me please?
Answer:
5.9 x [tex]10^{12}[/tex]
Step-by-step explanation:
Convert 4.5 to a mixed number help for brainlist with explanation!
Answer:
4 1/2
Step-by-step explanation:
the 4 means that the whole number will be 4. .5 means that there is one half of 1, so 1/2 will be the decimal
we can also write the decimal as an improper fraction.
45/10
then, reduce the fraction by 5
9/2
2 can go into 9 four times, so that is our whole number. 2 times 4 is 8, so there is 1 left in the numerator.
4 1/2
explain why the area of the circle is less than 4 square units
Answer:
50ithe distance between two cities X and Y is 50 km Ramesh travel from City a to city y by scooter with an average speed of 30 km per hour how long will it take him to reach city y
Identify all the word phrases that can be represented using the expression 3t – 5.
(Choose 2)
Answer:
B
Step-by-step explanation:
3t is also represented as 3(t)
which is multyplication
theirfor the product
Answer:
Step-by-step explanation:
3t - 5
can you keep the options?
my answers would be
5 less than product of 3 and a number
Renee bought a chocolate bar for her friend. The chocolate weighed 45.8 grams. Renee's little brother ate 29.6 grams of the chocolate. Now how much chocolate does Renee have?
Which equation describes the problem? Use c to express the unknown value.
Answer:
16.2
Step-by-step explanation:
45.8 - 29.6 = 16.2
Renee would have 16.2 grams of chocolate.
I will give brainliest, assuming it allows me too
Answer: 611.64
Step-by-step explanation: add the check up and you get the total (answer)
Answer:
Step-by-step explanation:
it is sum of all amount of check values divided by no of those values
sum / 5
What percentage of teens and young adults have retail jobs? 5% 7% 8% 19%.
the answer is 19 percent
The percentage of teens and young adults in the pie chart that represents retail jobs is 19%.
What is a pie chart?A Pie chart is a type of graph that displays data in a circular graph.
The pie chart above is used to represent the percentage of young adults and teen that works in various industry.
The industries represented in the pie chart includes leisure and hospitality, retails trade, education and health sector, Manufacturing, construction, government and many more.
Therefore, the percentage of teens and young adults that represents retail jobs is 19%.
learn more on pie chart here: https://brainly.com/question/12265375
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