If a population of 1000 people were to increase by 5% every year, what would the
population be in 20 years?
Answers
Population in 20 years is 2654 .So option(2) is correct
A percentage is a percentage of something expressed as a number between 0 and 100 rather than as a fraction. Nothing is zero percent, everything is 100 percent, half of everything is fifty percent, and nothing is zero percent.
Given that a population of 1000 people were to increase by 5% every year
We have to determine the population be in 20 years
P = 1000
R = 5
T = 20
Population in 20 years = P[(1+(r/100)]t
= 1000[1 + 5/20]20
= 1000(21/20)20
= 1000 x 2.6538
= 2653
Therefore population in 20 years is 2654
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Related Questions
what is 113.8 divided by 9 equal explain your answer?
Answers
113.8 divided by 9 equal to 12.64
How to determine the quotient when 9 divides 113.8The calculation can be done simply by calculator however to so it manually the decimal is converted to fraction
converting to fraction
113.8 = 1138/ 10
dividing by three
= 1138/ 10 ÷ 9
= 1138/ 10 * 1/9
= 1138/ 90
= 569/45
= 12.64
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write a polynomial function with zeros of "-1,-1,2i"
Answers
A polynomial function with zeros of -1, -1, 2i is:
f(x) = x^3 + (2 - 2i)x^2 + (1 - 4i)x - 2i
We have been given a polynomial function with zeros of -1, -1, 2i
This means, (x + 1), (x + 1) and (x - 2i) are roots of polynomial.
Let f(x) be required polynomial function.
To find a polynomial consider an equation,
f(x) = 0
(x + 1) * (x + 1) * (x - 2i) = 0
(x^2 + 2x + 1) * (x - 2i) = 0
x(x^2 + 2x + 1) - 2i(x^2 + 2x + 1) = 0
x^3 + 2x^2 + x - 2ix^2 - 4ix - 2i = 0
x^3 + (2 - 2i)x^2 + (1 - 4i)x - 2i = 0
so, f(x) = x^3 + (2 - 2i)x^2 + (1 - 4i)x - 2i
Therefore, a polynomial with zeros of -1, -1, 2i is f(x) = x^3 + (2 - 2i)x^2 + (1 - 4i)x - 2i
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HELP ASAP THIS IS TIMED!!!!
A triangle is shown with its exterior angles. The interior angles of the triangle are angles 2, 3, 5. The exterior angle at angle 2 is angle 1. The exterior angle at angle 3 is angle 4. The exterior angle at angle 5 is angle 6.
Which statements are always true regarding the diagram? Select three options.
m∠5 + m∠3 = m∠4
m∠3 + m∠4 + m∠5 = 180°
m∠5 + m∠6 =180°
m∠2 + m∠3 = m∠6
m∠2 + m∠3 + m∠5 = 180°
Answers
Answer:
1. m∠5 + m∠6 = 180° ...........Linear Pair
2. ∠ 2+ ∠ 3 = ∠ 6.................Exterior angle Property of Triangle
3. m∠2 + m∠3 + m∠5 = 180° .....Triangle Sum Property
The record high temperature for a certain us state is 104 f. the record low temperature for same state is -14 f. what is the difference between the record high and low temperatures for this state
Answers
The difference between the record high and low temperatures for this state is 118 degrees Fahrenheit or 118°F
Given that,
104 f is the highest temperature ever recorded in a particular US state. The state's all-time low temperature is -14 f.
To find : The difference between the record high and low temperatures for this state.
Difference can be calculated as
Difference equals to highest temperature minus lowest temperature in the state
Difference = 104 -(-14)
= 104+14=118°F
Therefore, The difference in temperature between the state's record high and low readings is 118 degrees Fahrenheit, or 118°F.
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What is the equation of this line?
Y=-3/4x-3 y=-3x=4/3 y=4/3x-3 y=-3x-3/4
Answers
Answer:
[tex]y = \frac{3}{4} x - 3[/tex]
The slope is 3/4, and the y-intercept is -3.
Write 0.0401907 correct to
3 decimal places
Answers
Answer:
0.0401907 = 0.040 (to 3dp)
a manufacturer of headache medicine claims it is 70% effective within a few minutes. that is, out of every 100 users, 70 get relief within a few minutes. a group of 12 patients are given the medicine. if the claim is true, what is the probability that eight have relief within a few minutes?
Answers
0.231140 is the probability that eight have relief within a few minutes .
What is probability explain with an example?
It is based on the probabilities that something could happen. The logic underpinning probability serves as the foundation for theoretical probability. A coin is tossed, for instance, and the theoretical likelihood of getting a head is 1 in 2.let X be the number of patients having relief within a few minutes out of 12 patients.
so X~ Bin(12,p) where p=0.70
so P[8 have relief within a few minutes]=P[X=8]
= ¹²C⁸ * 0.78 * 0.34
= 0.231140
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Please help me solve this!!!
Answers
Step-by-step explanation:
NP is the radius of the fictitious circle with center in P.
sin(P) = sqrt(55)/NP
Pythagoras gives us NP :
c² = a² + b²
so
NP² = 55 + 45 = 100
NP = 10
therefore,
sin(P) = sqrt(55)/10
simplify using only positive exponents
Answers
Answer:
8/x^3
Step-by-step explanation:
(2x^-1)^3
First, we must use the power-to-power rule to eliminate the double exponents. When a power is raised to a power, we must multiply them. This makes the exponent of x-3 and makes two into 8.
8x^-3
We can eliminate negative exponents by bringing their subject to the opposite side of the fraction line, so in this case, we bring down the x^-3 to the bottom, making it x^3. The final answer is:
8/x^3
a basket contains 16 apples, of which two are rotten. a sample of three apples is selected at random. what is the probability that the sample contains two rotten apples?
Answers
Answer:
[tex]\frac{1}{120}[/tex]
Step-by-step explanation:
To solve such a problem you need to simulate a situation in which this could happen in three picks and then make sure your equation takes into account that all three picks take place at the same time. One such situation could look like this:
1) At the start, the probability of picking one rotten apple with one pick is 2 out of 16 which 2/16.
2) After picking the first apple you have 15 apples left of which only 1 is rotten. So the chance to pick the second rotten apple is 1/15.
3) After you picked the second rotten apple you want the third one in the set to be good. As you are left with 14 apples of which all 14 are good, the probability of picking a good one is 14/14.
Now, because you are interested in ALL those 3 things happening at the same time, you need to multiply the probabilities. So this gives you the answer of:
[tex]\frac{2}{16} *\frac{1}{15} *\frac{14}{14} = \frac{1}{8} *\frac{1}{15} *1 = \frac{1}{120}[/tex]
You can achieve the same result if your picks are in a slightly different order. The result won't change as long as the outcome is the same (set of 2 rotten apples and 1 good apple). So if you first pick a rotten apple (2/16), then you happen to pick a good apple (14 out of 15 left are good so 14/15) and then pick the second rotten apple last (1/14) you will see it's gives the same result because you also end up with 2 rotten and 1 good apples:
[tex]\frac{2}{16} * \frac{14}{15} * \frac{1}{14} = \frac{1}{8} * \frac{1}{15} = \frac{1}{120}[/tex]
Find the missing length indicated for 1 and 2
Marking brainlist
Answers
Answer:
Step-by-step explanation: I think you have to add all the numbers together then divide by all the numbers i think
Help! I have the test due in 14 minutes!
Answers
Desmos graphing calculator is a life saver for questions like this
Answer:
option 3
Step-by-step explanation:
2x + 5y = 20
to bring this to a staffers equation with y on one side and everything else on the other, we see that we get a negative x term. that means the line goes down when going from left to right.
5y = -2x + 20
y = -2/5 x + 4
so, we also see that the y-intercept is 4.
so, option 3 is correct.
What is the coefficient in the algebraic expression: -x + 3
Answers
Answer:
1
Step-by-step explanation:
The coefficient of an algebraic expression (-x+3) corresponds to the number that precedes (or multiplies) the variables in it 1.
The population of ants in the colony can be represented by the function
f(t) = 1400(1.07), where t is the number of months the colony has been
measured.
What is the growth rate??
Answers
Answer: A or C
Step-by-step explanation:
helppp!!! please asap!!!
Answers
The least common denominator for the rational expression is (x + 8) (x + 2) (x - 1)
What is LCD in Rational Expression ?
The denominators' smallest common multiple is called the LCD. We factor the expressions and multiply each unique factor to obtain the LCD of two rational expressions.
The given expression is,
(x + 2) / (x² + 7x - 8) , (x - 6) / (x² +10x + 16)
Let,
(x + 2) / (x² + 7x - 8) --------eq(i)
(x - 6) / (x² +10x + 16) ----------- eq(ii)
First take the denominator of eq(i)
The denominator is = x² + 7x - 8
We know, this is quadratic equation so just solve this equation
⇒ x² + 8x - x - 8
⇒ x(x + 8) - 1(x + 8)
⇒ (x - 1) (x + 8)
Next, take the denominator of eq(ii)
The denominator is = x² + 10x + 16
And, this is also a quadratic equation so the factors are,
⇒ x² + 8x + 2x + 16
⇒ x(x + 8) + 2(x + 8)
⇒ (x + 2) (x + 8)
So, after solving both the denominators we get the factors ,
(x - 1) (x + 8) and (x + 2) (x + 8)
As, we see (x + 8) is common just write it once and else terms write as it is,
LCD = (x + 8) (x - 1) (x + 2)
Therefore, the least common denominator for the rational expression is (x + 8) (x + 2) (x - 1)
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simplify -2(3²)³ into Standard form
Answers
The answer is: " - 1,458 ".
Step-by-step explanation:
We are asked to simplify: " -2(3²)³ " ; into standard form.
Take note of the 'order of operations'—by using the mnemonic:
"Please Excuse My Dear Aunt Sally."
in which:
_______
Parentheses, if they occur, take top priority.
then :
Exponents, if they occur, take second priority.
then :
Multiplication—and/or:
Division—if they occur; take third priority; yet, multiplication does not necessarily take priority over division. Rather, multiplication and/or division, if Either occurs, take the next priority—in the order in which they occur from the far left of the expression to the end.
then :
Addition—and/or:
Subtraction—if they occur; take the last priority; yet, addition does not necessarily take priority over subtraction. Rather, addition and/or subtraction, if Either occurs, take the last priority—in the order in which they occur from the far left of the expression to the end.
____
Our given expression: " -2(3²)³ " ; is the same as:
" - 2* (3²)³ " ; We have parentheses, exponents, and multiplication;
So; we need to find the value of: " (3²)³ " ;
and multiply that value by -2 ;
So, let's start with calculating: " (3²)³ " ;
Method 1)
" (3²)³ = (3* 3)³ = 9³ = 9 * 9 * 9 = (9 * 9) * 9 = 81 * 9 = 729 " .
Method 2)
Note the multiplication property of exponents:
(aᵇ)ᶜ = a⁽ ᵇ *ᶜ ⁾ ;
As such: " (3²)³ = 3⁽²*³⁾ = 3⁶ " ;
= 3 * 3 * 3 * 3 * 3 * 3 ;
= (3 * 3) * 3 * 3 * 3 * 3 ;
= 9 * 3 * 3 * 3 * 3 ;
= (9 * 3) * 3 * 3 * 3 ;
= (27) * 3 * 3 * 3 ;
= (27) * (9)* 3 ;\
= 27 * 27 ;
₁
₄
2 7
* 2 7
¹ 1 8 9
⁺_5 4
7 2 9
= 729
____
Now, multiply 729 by -2 ;
{Note that a negative value, when multiplied by a positive value, results in a negative value.}\
₁
7 2 9
* - 2
- 1 4 5 8 ; which is our answer to: " -2(3²)³ " ; written in standard form.
The answer is: " - 1,458 ".
____
Hope this is helpful to you.
Best of luck to you!
____
Solve the system by substitution. x-6y=22 x=-5y
Answers
Answer:Nothing further can be done with this topic. 6y=22,x=−5y
Step-by-step explanation:
Answer:
Step-by-step explanation:
Substitute the value of x (-5y) into the equation. Which gives you -5y-6y=22, add like terms and you get -11y=22. Divide both sides by -11 and you get y=-2
what is the average rate of change of the function f(x) = 2(3)^x from x = 2 to x = 4?
Answers
Answer:
Step-by-step explanation:
72
Answer:
72
Step-by-step explanation:
The way to find the average rate of change between two points is to divide [tex]\frac{f(a)-f(b)}{a-b}[/tex].
1.) We plug the points into the formula. If you plug them in, you get [tex]\frac{2(3)^4-2(3)^2}{4-2}[/tex].
2.) Simplify. If we simplify, we get 3^4-3^2=72
The graph and the table show the total costs of two different summer programs, y, as the function of the number of classes, x on iready
Answers
Answer: When the number of classes is 1 or 2, fishing is less expensive.
When the number of classes is 3 or 4, canoeing is less expensive.
Step-by-step explanation:
Two fishing classes are less than two canoeing classes; three or four canoeing classes are than three or four fishing classes.
What number would make this statement true?
1/7 = 7/?
Answers
7/1 is 7, so you multiply 7 by 7 to get the number
7/49
20 points Sebastian and Sabrina have gone on
vacation in Atlantic City. Their first
stop was the pier, where they noticed
horse diving and both decided to give
it a try. Sebastian went first. His dive
was modeled by the equation,
h(t)=-16t² + 16t+18, where h is the
height (in feet) above the water and
t is the time in seconds. Sabrina's
dive is modeled by
h(t)-16(-0.5)² + 22.
Answers
1. The functions are the same because each of the function has equations that are modeled after the horse diving into the water.
2. Given t = 20s, so using the equation modeled for Seb, we have
h(20) = -16(20^2) + 16(20) +18
After evaluating it we get -6062ft which is not possible since we cannot get a height in negative and jumping off at a height of 6062ft if it was in positive it wouldn't be done by a sane person.
3. Putting the value of t as 0 in the equation we get,
h(0) = -16(0^2) + 16(0) + 18
After evaluating it, we get 18ft and in this situation, we can say that in 0 seconds that is when the horse had not yet dived, the horse was at a height of 18ft.
4 a. Taking the value of h as 18 in Sabri's equation, we get
18 = -16(t - 0.5)^2 + 22
18 = 16t^2 - 4 + 22 (After solving {t - 0.5}^2)
t^2= 18 + 4 - 22/ 16
t^2= 0
t = 0seconds
b. The maximum height of Sabrina's height was 18ft, since this is the initial height of the horse diving booth.
What are functions?
In mathematics, a function is an expression, rule, or law that establishes a relationship between an independent variable and a dependent variable. To put it simply, a function is a type of rule that produces one output for every input it receives. Here, y=x2 serves as an illustration. A single output for y results from any input for x. Since x is the input value, we would state that y is a function of x.
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You want to earn 150. To buy a new pair of shoes. However, if you earn more than 500, you'll be charged tax on your business write and solve an inequality that shows how many bracelets you can sell so that you earn the money for a new pair of shoes without going over the 500 limit. Show work
Answers
Answer:
150≤x≤500
Step-by-step explanation:
please help this is geometry
Answers
Answer: T is the longest side. T = 62
Step-by-step explanation:
R + S = 118
(57+61)
180-118=62
1. Add the given angles
2. Subtract the sum of the given angles from 180
3. Now you should have your answer
Another way to write it is: 57+61+x =180
You can technically some it algebraically as well but it is a much longer process
find how many numbers greater than 4000 that can be formed with digits 2,3,4,5 and 6 if no digits can be used more than once in a number.
Answers
All 4 digit numbers begining with 4,5 of 6:3*4*3*2 = 3*4! = 72
Total = 120+72 = 192
192
in a large city, you pick a sample of 30 of lawn mowings during summer whose standard deviation is 7.7. the margin of error for a 90% confidence interval will be
Answers
2.388 is the margin of error for a 90% confidence interval will be standard deviation.
What does the standard deviation of the sample mean?
The term "standard deviation" (or "") refers to the degree of dispersion of the data from the mean. Data are grouped around the mean when the standard deviation is low, and are more dispersed when the standard deviation is high.Sample size n=30
Sample standard deviation s= 7.7
t critical at alpha =0.10, for 29 d.f. is 1.699
Margin error = t critical ×s/√n
=1.699×7.7/√30 = 2.388
Margin error =2.388
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6. MP Justify Conclusions Tammy was
comparing information for two cell phone
plans. Plan A would cost $480 for one year.
Plan B would cost $250 for 6 months.
Tammy reasons that plan B must cost more
for one year. Is there enough information to
know if she is correct? Explain your
reasoning.
Answers
Answer:
Theusage is 585 minutes of call duration..
Explanation:
Fixed plan cost is M=$.39.95
Charge for first 500 minutes call: Free
Charge for call exceeding 500 minutes: $.0.35/minutes.
Let x minutes be the total call duration.
The bill is P=$.69.70 i.e. more than $.39.95, which indicates
call duration is more than 500 minutes.
The rule states that bill for call exceeding 500 minutes is
P=M+(x−500).0.35 or
69.70=39.95+(x−500).0.35 or (x−500).0.35=69.70−39.95 or
(x−500).0.35=29.75 or (x−500)=
0.35
29.75
or
(x−500)=85 or x=500+85=585 minutes.
The usage is 585 minutes of call duration .
Step-by-step explanation:
hope this helps
What is the answer to this question
Answers
Answer: A
Step-by-step explanation: hope this helps!
please give brainliest!
Answer:
A. Michael must get a degree in engineering LOLLLLL
help meeeeeeeeeeee pleaseee rnnnnn!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answers
The number of students that are studying abroad in 2001 is 150.38 thousand
The number of students that are studying abroad in 2018 is 467.53 thousand
What are the number of students?The given equation that represents the growth in the number of students that are studying abroad is known as an exponential equation. An exponential equation is a non-linear equation.
The given exponential equation is 123.1(1.069)^x
Where:
123.1 = number of students that studied abroad in 19981.069 = rate of growthx = number of yearsNumber of students studying abroad in 2001 = 123.1(1.069)^3= 150.38 thousand
Where x = 2001 - 1998 - 3
Number of students studying abroad in 2018 = 123.1(1.069)^20 = 467.53 thousand
Where x = 2018 - 1998 = 20.
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Parallel to y=-1/5X-7 and through (2,3)
Answers
Answer:
y = -1/5x + 17/5
Step-by-step explanation:
Parallel lines have the same slope as m2 = m1. Thus, the slope the of second line is -1/5.
We can find the y-intercept by plugging in (2,3) for x and y and our slope:
[tex]3 = -\frac{1}{5}(2)+b\\ 3=-\frac{2}{5}+b\\ \frac{17}{5}=b[/tex]
if g(x)=lnx and f is a differentiable function of x, which of the following is equivalent to the derivative of f(g(x)) with respect to x ?
a. f'(1/x)
b. f'(x)/x
c.f' (In x)
d. f'(In x)/x
Answers
The derivative of f(g(x)) with respect to x is f'(1/x).
What are Derivatives?The term derivative refers to a type of financial contract whose value is dependent on an underlying asset, group of assets, or benchmark.
Given that, g(x)=ln x
Differentiation of ln x = 1/x
Hence, The derivative of f(g(x)) with respect to x is f'(1/x).
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