Answer:
(a) The population in the year 2033 is 18630.
(b) After nearly 36years from the starting population of 11500 we will get our population tripled.
Step-by-step explanation:
In 2017, the population of a city is 11500, and is increasing exponentially at a rate of 3.1% per year
This can be formulated with the compound interest formula, also we can think the given situation as we have 11500 rupees which increases at the rate of 3.1% per year.
we can formulate the given situation using the compound interest formula.
A = P(1 + [tex]\frac{r}{n}[/tex])^n*t
A is the final population
P is the initial population = 11500
r is the rate at which the population increases = 3.1A =% = 0.031
n denotes the number of times the population increases per year = 1
t is the time or year = 1
A = [tex]11500( 1 + 0.031)[/tex]^1*t
(a) The number of years to reach the year 2033 from 2017 is 16years.
so we have the value of t = 16
so the final population in the year 2033 will be
A = 11500(1+0.031)^1*16
= 11500(1.031)^16
= 11500*1.63
A = 18630
Therefore the population size in the year 2033 will be 18630.
(b) We need to find the year in which the population gets tripled. we will triple our population from the population which was in 2017
so the our equation will be
11500*3 = 11500(1+0.031)^1*t
3 = (1.031)^t
upon taking logarithm both sides we get
log(3) = t*log(1.031) ( using the property log(a^b) = blog(a)
0.477 = t*0.133
t = 0.477/0.0133
t = 35.86years
upon taking approximation we will get 36 years.
Therefore after nearly 36years from the starting population of 11500 we will get our population tripled.
6,6,5,5, 4, 7,4,8, 4, 6, 5, 7,8
Find the modes of this data set.
what’s the mode?
Answer: 6, 5, 4
Step-by-step explanation:
The mode is the number that you see the most. 6, 5, and 4 appear 3 times in the set.
Answer:
6,5,4
Step-by-step explanation:
the all tie in repeating 3 times. The mode is what repeats the most. since 6,5,4 all repeats 3 times they tie for mode.
Need help for this one!
Drag and drop each number to its correct position on the number line.
PLEASE HELP!
Answer:
where is the numberline miss
Answer:
you forgot the picture
:-(((
Josslyn needs to earn at least $420 a week during her summer break to pay for college. She works two jobs, one at a restaurant that pays $18 an hour and the other tutoring for $16.50 per hour.
Let x be the number of hours she works at the restaurant and let y be the number of hours she works tutoring. Write an inequality that models this situation.
Answer:
x+y[tex]\geq[/tex]420
18x+16.50y[tex]\geq[/tex]420
Step-by-step explanation:
Answer:
18x + 16.50y ≥ 420
Step-by-step explanation:
A druggist has two mixtures of a certain chemical and water, one containing 10% of the chemical and the other containing 40% of the chemical. How much of each mixture should he use to make 10 ounces that contain 25% of the chemical? How many ounces of chemical are in the final mixture? 1 2.5 7.5
Answer:
the answer is= 2.5
Step-by-step explanation:
good luck!
help me! : (x^3 - 7x^2 - 7x + 20) ÷ ( x+4)
Answer:
[tex] {x}^{2} - 11x + 37 - \frac{128}{x + 4} [/tex]
inverse laplace of L^-1 {5s/s^2 + 3s - 4}
Answer:
[tex]L^{-1} (\frac{5s}{s^{2}+ 3 s -4 } )[/tex] = [tex]4e^{-4t} + e^{t}[/tex]
Step-by-step explanation:
Step(i):-
Given
[tex]L^{-1} (\frac{5s}{s^{2}+ 3 s -4 } )[/tex]
Factors of s² + 3s - 4
= s² + 4s - s -4
= s( s +4 ) -1 (s +4)
= (s-1)(s+4)
[tex]L^{-1} (\frac{5s}{s^{2}+ 3 s -4 } )[/tex]
= [tex]L^{-1} (\frac{5s}{s+4)(s-1) } )[/tex]
By using partial fractions
[tex](\frac{s}{s+4)(s-1) } ) = \frac{A}{s+4} + \frac{B}{s-1}[/tex] ..(i)
s = A ( s-1) + B( s+4) ....(ii)
Put s= 1 in equation (ii) , we get
1 = B(5)
[tex]B = \frac{1}{5}[/tex]
s = -4 in equation (ii) , we get
-4 = -5A
[tex]A =\frac{4}{5}[/tex]
Step(ii):-
now the equation (i) , we get
[tex](\frac{s}{s+4)(s-1) } ) = \frac{4}{5(s+4)} + \frac{1}{5(s-1)}[/tex]
[tex]L^{-1} (\frac{s}{s+4)(s-1) } ) = 5( L^{-1} \frac{4}{5(s+4)} + 5L^{-1} \frac{1}{5(s-1)}[/tex]
By using inverse Laplace transform formula
[tex]L^{-1} (\frac{1}{s-a} ) = e^{at}[/tex]
[tex]L^{-1} (\frac{1}{s-1} ) = e^{t}[/tex]
[tex]L^{-1} (\frac{1}{s+4} ) = e^{-4t}[/tex]
[tex]L^{-1} (\frac{s}{s+4)(s-1) } ) = 5( L^{-1} \frac{4}{5(s+4)} + 5L^{-1} \frac{1}{5(s-1)}[/tex]
= [tex]4e^{-4t} + e^{t}[/tex]
A zookeeper took a random sample of 30 days and observed how much food an elephant ate on each of those days. The sample mean was 350 kg and the sample standard deviation was 25 kg. Find the 95% confidence interval for how much food the elephant eats.
Answer:
341.95≤x≤358.95
Step-by-step explanation:
The confidence interval formula is expressed as;
CI = xbar±(z×s/√n)
xbar is the mean sample
s is the standard deviation
z is the z score at 95% confidence interval
n is the sample size
xbar = 350kg
z = 1.96
s = 25kg
n = 30
Substitute
CI = 350±(1.96×25/√30)
CI = 350±(1.96×4.564)
CI = 350±(8.946)
CI = (350-8.946, 350+8.946)
CI = (341.05, 358.95)
Hence the 95% confidence interval for how much food the elephant eats us 341.95≤x≤358.95
5x + 7 (-7) = 2x + 6 (-7)
What property is being shown above?
O Multiplication Property of Equality
Division Property of Equality
O Addition Property of Equality
Subtraction Property of Equality
Answer:
so sorry i had too
Step-by-step explanation:
someone passed this to me) 90% of people marry there 7th grade love. since u have read this, u will be told good news tonight. if u don't pass this on nine comments your worst week starts now this isn't fake. apparently if u copy and paste this on ten comments in the next ten minutes you will have the best day of your life tomorrow. you will either get kissed or asked out in the next 53 minutes someone will say i love you
Please help me ASP with this I got 2 minutes to do it
Answer: 5/6
Step-by-step explanation:
Answer:
I believe the answer is 1 1/6
Step-by-step explanation:
Here is how I got 1 1/6
4 1/3 - 3 1/2
4 - 3 = 1
1/3 - 1/2 = 2/6 - 3/6 = 1/6
Answer = 1 1/6
The scatter plot shows the heights x (in inches) and the weights y (in pounds) of 10 people. Find the weight of the person who is 70 inches
tall. Then find the height of the person who weighs 125 pounds.
Answer:
70 inches weighs 160
125-pound person is 66 inches tall
Step-by-step explanation:
Helpppppppppppppppppppppplppoollooppp
Answer:
I wouldn't advise putting answers from test on brainly its against the honor of code and you will get warned.
Step-by-step explanation:
Solve for n.
d=4m + 7n
n
Answer:
n = [tex]\frac{d-4m}{7}[/tex]
Step-by-step explanation:
Given
d = 4m + 7n ( subtract 4m from both sides )
d - 4m = 7n ( isolate n by dividing both sides by 7 )
[tex]\frac{d-4m}{7}[/tex] = n
Answer:
n = d - 4m ÷ 7
Step-by-step explanation:
d = 4m + 7n
d - 4m = 7n
7n = d - 4m
n = d - 4m ÷ 7
Thus, n = d - 4m ÷ 7
-TheUnknownScientist
Could someone help with me his before I go to sleep and I hope when I wake up the answer is here pls
please help me wth this
factorise this equation 12ax+8bx
Answer:
4x(3a+2b)
Step-by-step explanation:
Answer:
4x(3a+2b)
Step-by-step explanation:
Given: 12x+8bx
Factor out x: x(12a+8b)
Factor out 4: 4x(3a+2b)
Find the value of 0 and round to the nearest whole degree
Answer:
57°
Step-by-step explanation:
[tex] \theta = {sin}^{ - 1} \bigg( \frac{36}{43} \bigg) \\ \\ \theta = 56.846591584 \degree\\ \\ \theta \approx 57 \degree\\ \\ [/tex]
I really really really really need help 9(7)/3
Answer:
21
Step-by-step explanation:
9*7 is 63 divided by 3 should get you 21.
Answer:
21
Step-by-step explanation:
Help please! I’ll give brainliest!
The map below shows the locations of the houses of Maria Reese and Paul.what are the coordinates of Steve's house who lives 2 miles form Paul and 1 mile form Reese. Please help
Answer:
Coordinates of Steve's House are S (3,2)
The required coordinate of the Steves's house is (3,2).
The map below shows the locations of the houses of Maria Reese and Paul, coordinates of Steve's house who lives 2 miles from Paul and 1 mile from Reese is to be determined.
Coordinate, is represented as the values on the x-axis and y-axis of the graph
Here,
Since Steve's house lives 2 miles from Paul's, So the Y coordinate of Steve's house will raise to 2 more than the Y coordinate of Paul, So Y = 0 + 2 = 2
Now, Steve's house lives 1 mile from Reese x coordinate of Steve's house will raise to 1 more than the x coordinate of Reese, So X = 2 + 1 = 3
Thus, the required coordinate of the Steves's house is (3,2).
Learn more about coordinate here:
brainly.com/question/13498438
#SPJ2
50!!! Points Paul needs 27 plants to fill his garden and has $99 to
spend. Lilies cost $5 each and tulips cost $2 each. Which
system represents the number of lilies (1) and tulips (t)
Paul can buy?
[tex]\boxed{\boxed{\pink{\bf \leadsto Option \ A \ is \ correct .}}}[/tex]
Step-by-step explanation:Given that , Paul needs 27 plants to fill his garden and has $99 to spend. Lilies cost $5 each and tulips cost $2 each.
Tulips are represented by t .Lilies are represented by l .Now we need to find which set of linear equations represent the above situation. So ,
Sum of number of lilies and tulips is 27 .
[tex]\implies \bf n( Tulips) + n(Lilies ) = 27 \\\\\bf\implies \boxed{ \bf l + t = 27 }[/tex]
Now , cost of each lily is $5 and tulip is $2 . And he has $99 in total . So ,
[tex]\bf\implies n_{tulips} \times cost_{tulip} + n_{lilies} \times cost_{lilies} = Money \ that \ Paul \ has. \\\\\bf \implies t\times \$2 + l \times \$5 = \$ 99 \\\\\implies \boxed{\bf 2t + 5l =\$ 99 }[/tex]
Hence we can see that our ans matches with option (a) which is ,
[tex]\red{\bf Option \ A}\begin{cases} \bf l + t = 27 \\\\\bf 2t + 5l = 99 \end{cases}[/tex]
Hence option (A) is correct .1) Integers get bigger the further left they are located on a number line.
True
False
I need help!!!!!!!
Answer:
False
Step-by-step explanation:
Answer:
False
Step-by-step explanation:
The left of the number line is the domain of negative numbers. As you go left on the number line, the integers are smaller.
Will give brainliest!!
Answer:
its 5 hours i think
Step-by-step explanation:
What is special about y coordinate that goes with the x coordinate of 1on a proportional gragh
Answer:
The first coordinate (usually the x-coordinate) is called the domain and the second (usually the y-coordinate) is called the range. If tou remember from earlier chapters the domain contains values that correspond to the independent variable whereas the range contains values corresponding to the dependent variable.
Step-by-step explanation:
I majored in Mathematics
which steps show how to use the distributive property to evaluate 5x58
Answer: 5 x 58 = 290 :)
Step-by-step explanation:
simplify -8z^8+(-14z^8)
Answer:
-22x^8
Step-by-step explanation:
-8z^8 + (-14z^8)
z^8 = z^8
-8 - 14 = -22
-22z^8
If I do my maths homework at a rate of 1.6 questions per minute, it will take me 47 minutes to complete. What rate is needed to complete it in 34 minutes?
Give your answer correct to 1 decimal place.
Answer:
Step-by-step explanation:
reqd. rate=(1.6)×47÷34≈2.2 questions per minute.
The required rate to complete the question in 34 minutes is given as 2.2 questions per minute.
What is the rate of change?Rate of change is defined as the change in value with rest to the time is called rate of change.
As mentioned in the question, in homework rate of doing questions is 1.6 questions per minute.
It took 47 minutes to complete the whole expression,
Total questions in the homework given by,
Total question = rate × time
Total question = 1.6 × 47
Total questions ≈ 75 questions
Now,
If the time to complete the question is 34 minutes, the rate required is given by,
Rate = total question/time
Rate = 75/34
rate = 2.2 questions per minute.
Thus, the required rate to complete the question in 34 minutes is given as 2.2 questions per minute.
Learn more about the rate of change here: https://brainly.com/question/13103052
#SPJ2
Best and Correct answer gets Brainliest!!!
Answer:
Line A
Step-by-step explanation:
Line A crosses 5 at y when it hits 1 at x, meaning that constant of proportionality is 5. Trust me ; D.
What is the slope of the line y=3
A. 3
B. -3
C. 0
D. Undefined
Answer:
0
Step-by-step explanation:
Slope is the rise (change in y) over the run (change in x).
y=3 is simply a horizontal line.
hope this helps!
I NEED HELP IMMEDIATELY
Answer:
Between 80 and 160
Step-by-step explanation:
this is such a bad graph i honestly could not give you an exact answer