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.
Read more about population functions at:
https://brainly.com/question/25704773
Is - 1/2 equivalent to 1/-2
YES
- 1/2 is equivalent to 1/-2
The detailed answer is in the image attached.
Hope it helps you.....
Please mark as Brainlliest!!!
A beach ball has a radius of 3 inches calculate volume
Answer:
113.1 in.³
Step-by-step explanation:
V = (4/3)πr³
V = (4/3) × 3.14159 × (3 in.)³
V = 113.1 in.³
sami is making necklaces for a craft show. each necklace is 33.4 cenimeters long. if she has 233.8 centimeters of cord, how many necklaces can sami make
Answer:
Sami can make 7 necklaces.
233.8cm ÷ 33.4 = 7
Use parallelogram ABCD. What are the values of x and
y?
A
4y-3
B
x=
y =
3x-9
42
D
37
С
Answer:
the value of x is a number but you can say 1 when you are factorising quadratic expression with the terms
Answer:
x=17
y=10
Step-by-step explanation:
simpify 5 cubed to the power of 6
[tex]5 cubed to the power of 6[/tex]
[tex]\displaystyle (5^3)^6 = 5^{(3 \times 6)} = 5^{18}[/tex]
What’s the slope or fraction?
An equilateral triangle and a rectangle have the same perimeter.
How do you find the side lengths of the equilateral triangle and the rectangle?
I think you already got the explanation part
I've just solved for 'x' in here
And to check if the answer is correct or not, you just put in this value of x and try finding the perimeter for each.
You'll get 24 units!
I'm sorry, but it wouldn't let me answer earlier XD
Find the perimeter. Simplify your answer.
4 * 4 * 4 * 5 * 5
help please
Answer:
=1600
Step-by-step explanation:
=4*4*4*5*5
=16*4*25
=64*25
=1600
Hope this helps, have a nice day/night! :D
140 grams of almonds cost $3.5. Mechael needs almonds for the dish she is preparing. How much she has to pay for 500 grams of almonds cost?
Answer:
$12.5
Step-by-step explanation:
140 divided by 7 is 20, since 20 is a factor of 500, it will make it easier. Since we divided the 140 grams by 7, we also have to divide the $3.5 by 7, which will get you$0.5. 20 times 25 is 500, so you will also time the $0.5 by 25 which will get you $12.5
[tex](3a^{3} -7b^{3} )^{2}=[/tex]
Answer:
Step-by-step explanation:
1.02 = _____ hundredths
LCM of 4/6 and 4/8????
Answer:
24 is the LCM of 4,6,8. I think thats what your looking for.
Hope this helps!
Step-by-step explanation:
Describe the following
Answer:
yes it's a function, but not a relation.
Step-by-step explanation:
Because it is a polynomial function
what is 5 taken away from the product of 4 and a number.
Answer:
3
Step-by-step explanation:
Not sure, but let's take 32 to be the answer
4(5+x)=32
4×5= 20
4×x= 4x
20-4x=32
4x=32-20
4x=12
12÷4
x=3
Answer:
4n - 5
Step-by-step explanation:
let the number be n then the product of 4 and this number is 4n
Subtract 5 from 4n gives
4n - 5
(a) 3 - 2/3÷4/3 × 7
(b) [(2/3)/(5/6)]-2/5
(c) {(-3/4) +( 1/2)}/{(2/5)-(5/2)}
Step-by-step explanation:
a. (3 - 2/3) ÷ (4/3 x 7)
= [(3 x 3) / (1 x 3) - 2/3] ÷ 28/3
= (9/3 - 2/3) ÷ 28/3
= 7/3 x 3/28
= 21/84
= (21 x 1) / (21 x 4)
= 1/4
b. 2/3 ÷ 5/6 - 2/5
= 2/3 x 6/5 - 2/5
= 12/15 - 2/5
= (3 x 4) / (3 x 5) - 2/5
= 4/5 - 2/5
= 2/5
c. (- 3/4 + 1/2) ÷ (2/5 - 5/2)
= [- 3/4 + (1 x 12) / (2 x 2)] ÷ [(2 x 2) / (5 x 2) - (5 x 5) / (2 x 5)]
= (- 3/4 + 12/4) ÷ (4/10 - 25/10)
= 9/4 ÷ (- 21/10)
= 9/4 x - 10/21
= - 90/84
= (6 x - 15) / (6 x 14)
= - 15/14.
If you have any doubt, then you can ask me in the comments.
what is the center and radius of
[tex]x {}^{2} + y {}^{2} - 2x + y - 1 = 0[/tex]
[tex] = circle \: \: with \: \: the \: \: radius \: \: r = \frac{3}{2} \: \: and \: \: the \: \: center \: \: (1, - \frac{1}{2} )[/tex]
see the attachment
hope it helpsWhich of these are prime numbers 5,6,9,13,18
Answer:
5 and 13
Step-by-step explanation:
Answer:
13
is the answer
Hope it help u
If one ream of bond paper costs (3x -4) pesos. How many reams can you buy for ( 6x4 -17x3 +24x2- 34x + 24) pesos?
Answer:
1 ream = (3x - 4) pesos
Price of n reams = (6x^4-17x^3+24x^2 34x+24) pesos
Solution:(pic1)
number of reams 3x-4
By using synthetic division,
3x-4=0
3x=4
x=4/3
6 -17 24 -34 24 | 4/3
8-12 16-24
6 -9 12-18 0
Final equation is:(pic2)
If the simple interest on $1000 for 2 years is $100, then what is the interest rate?
Answer:
R = 450%/year
Equation:
r = (1/t)(A/P - 1)
Converting r decimal to R a percentage
R = 4.5 * 100 = 450%/year
Simplify the expression.
x - 9 - 5x+7 - 2y
Answer:
add the like terms then look for a gcf to take out atleast for this one
so -9+7= -2
-5x + 1x = -4x
and -2y
we can take -2 out of all those
so our answer is -2(2x+y+1
Lindsay got her hair cut. The cost of a haircut
is $16. If she wants to tip her hairstylist 20%,
how much should she leave for the tip?
Explain relative dating and its relationship to the Law of Superposition
Answer:
its b i took the test
Step-by-step explanation:
its b
What is 968.1 as a fraction
I believe it is 9681/10.
Answer:
the answer is 9681/10
Step-by-step explanation:
9681/10
What is y x y x y simplified
Answer:
y x y x y is simplified as y³
Step-by-step explanation:
Hoped this helped.
Emily spends $28 on food. This amount of 4/9 of her allowance, what is Emily’s allowance?
please help with explanation !
Answer:
$63
Step-by-step explanation:
so we want to find 9/9 of her allowance, which is 100%
we could use a proportion:
let 'a' = full allowance
[tex]\frac{28}{1}[/tex] ÷ [tex]\frac{4}{9}[/tex] = [tex]\frac{a}{1}[/tex] ÷ [tex]\frac{9}{9}[/tex]
when we divide fractions we multiply by the reciprocal to get:
28 x 9/4 = a
a = 252/4
a = 63
Someone help me pls!
You can buy 3 apples at Quick Mart for $1.17. You can buy five of the same apples at Shop & Save for $2.40
How much will you save per apple if you buy them at the cheaper store?
Answer:
$0.09 or 9 cents
Step-by-step explanation:
1.17/3=0.39
2.4/5=0.48
0.48-0.39=0.09
Answer:
Well you can divide them by each
1.17/3 which is 0.39 (quick mart)
2.4/5 Which is 0.48 (stop and save)
39 cent is what you pay at the cheaper store
9 cents is what you would save
-also you go to bay academy?
I haven’t seen Jupiter ed in so long hahah
1+1
This is pretty easy I know
Answer: 2
Step-by-step explanation: i dont even need to explain
Answer:
2
Step-by-step explanation:
one apple plus one apple gives you two apples :)
what are complementry angles
Answer:
either of two angles whose sum is 90°
Hello there! :)
Complementary angles are angles that add up to 90 degrees.
Example:
34 and 56 are complementary angles.
Hope this helps!
~Just a gloomy teen
#CarryOnLearning
[tex]SilentNature \\:([/tex]
Which street is perpendicular to 2nd Avenue and I also need to know what the slop would be of the new road be perpendicular to D street
Answer:
the answer is d street :)
which problem solving strategy would be best to solve this problem?
To study for the spelling competition, Jose memorized 2 words from the list. The next day, Jose memorized 4 words from the list. The third day, Jose memorized 8 words from the list. If Jose continues, how many words will he memorize on the tenth day
A.look for a pattern
B.work backwards
C.write an equation
D.guess, check and revise
Answer:
The best solving strategy is D. Finding a pattern would be decent, but D clearly is an better answer,
Step-by-step explanation: