The population of a town was 577 in 1970. The population has been growing at a
rate of 24% each year. What is the population of the town in the year 1995? Round
your answer to the nearest whole number. A = P(1 + r)
To find t, remember to subtract the years from each other (hint: 1995- 1970)?
Answers
4039 will be the population of town in 1995 .
What is percentage ?In mathematics, a percentage is a number or ratio that is expressed as a fraction of 100. In addition to the percent symbol "%," the abbreviations "pct," "pct," and occasionally "pc" are also used to denote it. A% has neither dimensions nor a defined unit of meas.urement.
Calculationinitial population = 577 in 1970
rate of increase = 24 % per year
population in 1995 will be =
first we need to find how much exact population in increasing in 1 year =
577 + 57*24/100 = 577 + 13.68 = 590.68
= 577 + 577 * 24 * (1995-1970) /100
= 577 + 3462
= 4039
learn more about percentage here :
brainly.com/question/28269290
#SPJ13
Related Questions
.On a sequence diagram, a message represents a service requestTrue or false?
Answers
On a sequence diagram, a message does represent a service request. A sequence diagram is a type of interaction diagram in Unified Modeling Language (UML) .So the answer to your Question is True.
UML illustrates the interactions between objects or components within a system over a specific period of time. It visualizes the flow of messages between objects to depict the order of and the timing of these interactions. In a sequence diagram, messages are used to represent communication between objects. Messages can be synchronous, where the sender waits for a response before proceeding, or asynchronous, where the sender does not wait for a response. In the context of a service-oriented architecture, a message can represent a service request being sent from one object or component to another. By using messages to represent service requests, sequence diagrams provide a clear and visual representation of the interactions and flow of information within a system. They help in understanding the sequence of steps involved in a process and the dependencies between different components or objects.
Learn more about Unified Modeling Language (UML) here:
https://brainly.com/question/30504439
#SPJ11
Drawing a line through which two points creates a reasonable line of best fit for the data?
A
(1,5) and (8.7)
B
(2.4) and (7.5)
С
(1.4) and (9.7)
D
(1.1) and (8.9)
Answers
When conducting an assessment, the nurse observes fine, downy hair covering the newborn's shoulders and back. The nurse interprets this finding as:
milia.
lanugo.
vernix caseosa.
harlequin sign.
Answers
When conducting an assessment, the nurse observes fine, downy hair covering the newborn's shoulders and back. This finding is interpreted as lanugo.
So, the correct answer is B.
Lanugo is a soft, fine hair that covers the fetus and sometimes remains on the newborn's body after birth, particularly in preterm infants.
Milia are small, white bumps on a baby's skin, while vernix caseosa is a white, waxy substance that protects the baby's skin in the womb. Harlequin sign is a temporary skin color change in newborns. In this case, lanugo is the appropriate term to describe the observed hair on the baby's shoulders and back
Hence, the answer of the question is B.
Learn more about Lanugo at https://brainly.com/question/29379535
#SPJ11
If y=x^3, what is equivalent to x^12 ?
F y^36
G y^15
H y^9
J y^4
Answers
Answer:
j y^4
Step-by-step explanation:
yeah-ya...... right?
1) Which of the following represent of 3/4 12?
A. 000000000000
B. OOOO
C.oooooooooooo
D. od
Answers
Answer:
i think its all to be honest
Step-by-step explanation:
For 0 ≤ x ≤ 2pi, solve the equation:tanx = 4sec^2x-4
Answers
Given the equation;
\(\tan x=4\sec ^2x-4\)We start by moving all terms to the left side of the equation;
\(\tan x-4\sec ^2x+4=0\)Now we re-write this using trig identities;
\(4+\tan x-4\sec ^2x=0\)Note that;
\(\sec ^2x=\tan ^2x+1\)Input this into the last equation and we'll have;
\(4+\tan x-4(\tan ^2x+1)=0\)Simplify the parenthesis;
\(\begin{gathered} -4(\tan ^2x+1) \\ =-4\tan ^2x-4 \end{gathered}\)We now refine the last equation;
\(\begin{gathered} 4+\tan x-4\tan ^2x-4 \\ =4-4+\tan x-4\tan ^2x \\ =\tan x-4\tan ^2x \end{gathered}\)The equation now becomes;
\(\tan x-4\tan ^2x=0\)We now represent tan x by letter a.
That means;
\(a-4a^2=0\)We shall apply the rule;
\(\begin{gathered} \text{If} \\ ab=0 \\ \text{Then} \\ a=0,b=0 \end{gathered}\)Therefore;
\(\begin{gathered} a-4a^2=0 \\ \text{Factorize;} \\ a(1-4a)=0 \end{gathered}\)At this point the solutions are;
\(\begin{gathered} a=0 \\ \text{Also;} \\ 1-4a=0 \\ 1=4a \\ \frac{1}{4}=a \end{gathered}\)If we now substitute a = tan x back into the equation, we would have;
\(\begin{gathered} \tan x-4\tan ^2x=0 \\ \tan x=0,\tan x=\frac{1}{4} \end{gathered}\)Where tan x = 0;
\(\begin{gathered} \tan x=0 \\ x=\pi \end{gathered}\)Where tan x = 1/4;
\(\begin{gathered} \tan x=\frac{1}{4} \\ x=\arctan (\frac{1}{4}) \\ x=0.24497\ldots \end{gathered}\)ANSWER:
\(\begin{gathered} x=\pi \\ x=0.245 \end{gathered}\)Meg is a veterinarian. She found that 10, or 33%, of the dogs she saw this week were boxers. Steve is also a veterinarian. He found that 50% of the 12 dogs he saw this week were boxers. Does each person need to find the part, the whole, or the percent?
Answers
What Meg needs to find is the whole and what Steve needs to find is the part.
How to solve Percentage problems?Suppose a number is 'a'
Suppose another number is 'b'
We want to know how much percent of 'b' is 'a'.
Then, it is calculated as:
a/b * 100
(in percentage)
Since Meg already knows the part and the percent which is 10 and 33% respectively, then it means that what she needs to find is the whole which is the total number of dogs she saw.
Steve already knows the whole which is 12 dogs and the percent which is 50% and as such what he will need to do now is to find the part that makes up the percentage part.
Read more about Percentage problems at; https://brainly.com/question/843074
#SPJ1
Write the explicit formula for the sequence shown below
3, -3, -9, -15
Answers
Answer:
\(a_{n}\) = 9 - 6n
Step-by-step explanation:
There is a common difference d between consecutive terms, that is
d = - 3 - 3 = - 9 - (- 3) = - 15 - (- 9) = - 6
This indicates the sequence is arithmetic with explicit formula
\(a_{n}\) = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = 3 and d = - 6 , thus
\(a_{n}\) = 3 - 6(n - 1) = 3 - 6n + 6 = 9 - 6n
Which box plot represents the data set 2,4,6,8,10,12
Answers
The box plot that represents the data is given by the following plot:
First box plot.
What is shown by the box and whisker plot?From left to right, the five features of the box and whisker plot are listed as follows
Minimum value.Lower quartile.Median.Upper quartile.Maximum value.The data-set in this problem is divided into two halves, as follows:
First half: 2, 4 and 6.Second half: 8, 10 and 12.The quartiles and the median are given as follows:
First quartile -> median of the first half -> 4.Median -> mean of the two middle elements due to the even cardinality -> (6 + 8)/2 = 7.Second quartile -> median of the second half -> 10.More can be learned about box and whisker plots at brainly.com/question/30464750
#SPJ1
Students arrive at the Administrative Services Office at an average of one every 12 minutes, and their requests take on average 10 minutes to be processed. The service counter is staffed by only one clerk, Judy Gumshoes, who works eight hours per day. Assume Poisson arrivals and exponential service times. Required: (a) What percentage of time is Judy idle? (Round your answer to 2 decimal places. Omit the "%" sign in your response.) (b) How much time, on average, does a student spend waiting in line? (Round your answer to the nearest whole number.) (c) How long is the (waiting) line on average? (Round your answer to 2 decimal places.) (d) What is the probability that an arriving student (just before entering the Administrative Services Office) will find at least one other student waiting in line? (Round your answer to 3 decimal places.)
Answers
The probability that an arriving student will find at least one other student waiting in line is approximately 0.167.
To solve this problem, we'll use the M/M/1 queueing model with Poisson arrivals and exponential service times. Let's calculate the required values: (a) Percentage of time Judy is idle: The utilization of the system (ρ) is the ratio of the average service time to the average interarrival time. In this case, the average service time is 10 minutes, and the average interarrival time is 12 minutes. Utilization (ρ) = Average service time / Average interarrival time = 10 / 12 = 5/6 ≈ 0.8333
The percentage of time Judy is idle is given by (1 - ρ) multiplied by 100: Idle percentage = (1 - 0.8333) * 100 ≈ 16.67%. Therefore, Judy is idle approximately 16.67% of the time. (b) Average waiting time for a student:
The average waiting time in a queue (Wq) can be calculated using Little's Law: Wq = Lq / λ, where Lq is the average number of customers in the queue and λ is the arrival rate. In this case, λ (arrival rate) = 1 customer per 12 minutes, and Lq can be calculated using the queuing formula: Lq = ρ^2 / (1 - ρ). Plugging in the values: Lq = (5/6)^2 / (1 - 5/6) = 25/6 ≈ 4.17 customers Wq = Lq / λ = 4.17 / (1/12) = 50 minutes. Therefore, on average, a student spends approximately 50 minutes waiting in line.
(c) Average length of the line: The average number of customers in the system (L) can be calculated using Little's Law: L = λ * W, where W is the average time a customer spends in the system. In this case, λ (arrival rate) = 1 customer per 12 minutes, and W can be calculated as W = Wq + 1/μ, where μ is the service rate (1/10 customers per minute). Plugging in the values: W = 50 + 1/ (1/10) = 50 + 10 = 60 minutes. L = λ * W = (1/12) * 60 = 5 customers. Therefore, on average, the line consists of approximately 5 customers.
(d) Probability of finding at least one student waiting in line: The probability that an arriving student finds at least one other student waiting in line is equal to the probability that the system is not empty. The probability that the system is not empty (P0) can be calculated using the formula: P0 = 1 - ρ, where ρ is the utilization. Plugging in the values:
P0 = 1 - 0.8333 ≈ 0.1667. Therefore, the probability that an arriving student will find at least one other student waiting in line is approximately 0.167.
To learn more about Probability, click here: brainly.com/question/16988487
#SPJ11
noah took a long bike ride.he began at his house,riding 3 km west. he turned north and rode 5km . he took a turn to the east and rode 6km. next he rode south for 2km. noah turned west and rose 3km, then made one more turn to get home . which direction was his last turn and how far was the last leg of the trip
Answers
Answer:
His last turn was in West direction and his last leg of the trip is 6 Km away
Step-by-step explanation:
The direction and distance travelled is as follows
a) West - 3 Km
b) North - 6 Km
c) South 2 Km
d) West - 3 KM
At last he turned in the west direction and he travelled 3 Km + 3 Km = 6Km
What type of activities do you like to do and why? How can these activities help your personal physical fitness?
Answers
Answer:
sports because sports is fun and you can win stuff and also they can keep you in shape easy
Step-by-step explanation:
Answer:
I like to play basketball and play with my dogs. They could help my personal physical fitness by bettering my weight and stamina.
Step-by-step explanation:
What is the value of the cos 77?
Answers
Answer:
.2250
Step-by-step explanation:
The cosine function is positive in the 1st quadrant. The value of cos 77 is given as .2250
Hope this helps
I will give braniest and a thanks plsssssssn help
Which equation is true when k = -15 A 3k - 11= -34 b -53 + 4k = 7 c k/3 + 17= 12 D k/5 + 2.5 = 0.5
8 is what i need help with and do u mind if u help with 9 to :> mate's
Answers
Answer:
B is the answer
That is -53+4k=7
When two births are randomly selected, the sample space for genders is bb, bg, gb, and gg. Assume that those four outcomes are equally likely. Construct a table that describes the sampling distribution of the sample proportion of girls from two births. Does the mean of the sample proportions equal the proportion of girls in two births? Does the result suggest that a sample proportion is an unbiased estimator of a population proportion? For the entire population, assume the probability of having a boy is one half , the probability of having a girl is one half , and this is not affected by how many boys or girls have previously been born. Determine the probabilities of each sample proportion. Sample proportion of girls Probability ▼ nothing ▼ 0. 5 0. 75 0. 25 nothing ▼ 0. 75 0. 5 1 nothing (Type integers or simplified fractions. ) Does the mean of the sample proportions equal the proportion of girls in two births? A. Yes, both the mean of the sample proportions and the population proportion are one third. B. Yes, both the mean of the sample proportions and the population proportion are one fourth. C. No, the mean of the sample proportions and the population proportion are not equal. D. Yes, both the mean of the sample proportions and the population proportion are one half
Answers
The mean of the sample proportions does not equal the proportion of girls in two births.
The sample space for the genders of two births consists of four equally likely outcomes: bb, bg, gb, and gg. To determine the sampling distribution of the sample proportion of girls, we calculate the proportion of girls for each outcome. The probabilities for each sample proportion are as follows: 0.25 for no girls, 0.5 for one girl, and 0.25 for two girls. The mean of the sample proportions is (0.5 + 0.5 + 1) / 3 = 0.6667, which does not equal the proportion of girls in two births (0.5). Therefore, the mean of the sample proportions is not equal to the population proportion, suggesting that the sample proportion is not an unbiased estimator of the population proportion. The answer is C.
Learn more about sample proportions here:
https://brainly.com/question/11461187
#SPJ11
What does the y-intercept represent in this scenario?
Answers
Answer:
The y-intercept represents the temperature at the start, before any time has passed.
In the scenario, y intercept represents the temperature which starts from 8 °F.
What is graph?A graph is a diagram that depicts the relationship between two variables, usually measured along opposite axes in a pair, is used.
In the given graph,
x-axis shows time in hours,
And y-axis shows temperature in Fahrenheit.
Since, the y-intercepts shows the value where x=0, or the values of y-axis.
In the given graph,
The y-axis shows the temperature.
Therefore, y intercept represents the temperature which starts from 8 °F.
To know more about Graph on:
https://brainly.com/question/17267403
#SPJ2
Use the remainder term to estimate the maximum error in the following approximation on the given interval. tanx≈x
i
[− 6π ,
6π ] Select the correct choice below and fill in the answer box to complete your choice. (Round to five decimal places as needed.) A. The maximum error is approximately for M= 316 . B. The maximum error is approximately for M=1. c. The maximum error is approximately for M=
π1 . D. The maximum error is approximately for M= 6π
.
Answers
The maximum error is approximately 3.1978 * 10^7 for M = 1. The remainder term for the Maclaurin series of tanx is given by Rn(x) = tan(x) - Pn(x) = (2^(2n) - 1)B2n(π)/2(2n)! * x^(2n+1), where Pn(x) is the nth partial sum of the series and B2n(π) is the 2nth Bernoulli number evaluated at π.
In this case, we are approximating tanx by x on the interval [-6π, 6π], which corresponds to -18π ≤ x ≤ 18π. Since the Maclaurin series for tanx has only odd powers of x, we only need to consider the odd values of n. Let's choose n = 5, which gives us:
R5(x) = tan(x) - x - (1/3)x^3 - (2/15)x^5
To estimate the maximum error, we need to find the maximum value of the absolute value of R5(x) on the interval [-18π, 18π]. This occurs at the endpoints, where:
|R5(-18π)| ≈ 3.1978 * 10^7
|R5(18π)| ≈ 3.1978 * 10^7
Therefore, the maximum error is approximately 3.1978 * 10^7 for M = 1. (Note that the other choices for M are not relevant to this problem.)
To know more about Maclaurin visit:
https://brainly.com/question/32263336
#SPJ11
PLEASEEEEEE HELP IM BEGGING SOMEONE PLEASEEEEE HELPPPPPPPPPPPPPP
Answers
Answer:
1.105°
angle relationship=vertical angles
2.112°
angle relationship=interior angles
Step-by-step explanation:
1.180-75=105
2.180-68=112
#Carry on Learning
Analyze the following table of values and select the true statement.
y -1 -2 -4 -8 -32 -64
x 0 1 2 3 5 6
The relationship is linear.
The relationship is quadratic.
The relationship is exponential.
The relationship is neither linear, quadratic, nor exponential.
Answers
Solve the system of linear equations using substitution. Use pencil and paper. Which expression would be easier to substitute into the other equation, in order to solve this problem? Explain your reasoning. X=6y-2 x=6y=9
Answers
Answer:
X = 6y-2 is the easier substitution for another equation because all you have to do is just plug in the equation into the value of x.
help would be appreciated
Answers
The graph that shows the given transformation is option A.
How to identify the graph of the transformation?We can see the graph of f(x) on the top of the given image, and we want to identify the graph of the transformation f(4x), this will be an horizontal compression of the function.
So we should look for a graph that looks like the first one, but its compresed on the horizontal axis. The vertical axis is not changed, remember that.
The only one that shows that is graph A, so that is the correct option.
Learn more about transformations at:
https://brainly.com/question/4289712
#SPJ1
Solve the equation to find X.
2.5+5.5-0.6x
Answers
Answer:
40/3
Step-by-step explanation:
-0.6X=-8
X=-8/-06
X=40/3
A store marks up the price of a pair of sneakers by 25%. The original price is $60. What is the new price?Juan says the sneakers would be $75Abel says the sneakers would be $45.Who is correct? Why?
Answers
Answer:
Juan is correct.
Step-by-step explanation:
60+60x0.25= 75
A function fis defined by; f(x)=x2+4x+5 then find the value of
f(2).
Answers
Answer:
f(x)=17
Step-by-step explanation:
f(x)=(2)2+4(2)+5
=4+8+5
=17
f(x)=17
Answer:
f(2) = 17
Step-by-step explanation:
f(2) - sub in the number 2 in x
(2)² + 4(2) + 5
4 + 8 + 5
f(2) = 17
Write the equation in standard form for the circle with center (2,–
9) and radius 2
Answers
Required standard form for given circle is \((x-2)^{2}+(y+9)^{2}=4\)
What is the standard form of equation of circle?Standard form of circle is expressed as\((x-h)^{2}+(y-k)^2=r^{2}\) ,where h,k are the coordinate of the center of circle and r is radius.
According to the given data:Center (h, k) = (2, -9)
radius = 2 units
Using standard form of equation,
\((x-h)^{2}+(y-k)^2=r^{2}\)
Putting the given values,we get
\((x-2)^{2}+(y-(-9))^{2}=2^{2}\)
⇒ \((x-2)^{2}+(y+9)^{2}=4\)
Hence, the standard form of equation of circle is \((x-2)^{2}+(y+9)^{2}=4\) .
To know more about the Circle visit:
brainly.com/question/11833983
#SPJ13
What is the mean of the following set of numbers (57, 90, 70, 68, 61, 62)?
A) 64
B) 65
C) 68
D) 72
Answers
Answer:
The mean is,
C) 68
Step-by-step explanation:
The mean is calculated using the formula,
\(m = (sum \ of \ the \ terms)/(number \ of \ terms)\\\)
Now, there are 6 terms (in this case numbers) so,
we have to divide by 6,
and sum them.
\(m = (57+90+70+68+61+62)/6\\m=408/6\\\\m=68\)
Hence the mean is 68
convert 4 5/6 into a decimal
Answers
Answer:
4.8333
Step-by-step explanation:
It is a repeating decimal. Hope it helps
The decimal form of the given fraction is 4.8333
What is decimal form?Decimals are the numbers, which consist of two parts namely, a whole number part and a fractional part separated by a decimal point. For example, 12.5 is a decimal number.
Given that, convert 4 5/6 into a decimal,
The given mixed fraction is =
4 5/6
Converting into fraction,
29 / 6
Dividing 29 by 6, we get,
29 / 6 = 4.833
Hence, the decimal form of the given fraction is 4.8333
Learn more about decimal forms, click;
https://brainly.com/question/16361602
#SPJ5
Which one?
A. B. C. or D?
Answers
Answer:
C
Step-by-step explanation:
hope this helps
BRAILIEST? PWEASE
Please I need some answers
Answers
Answer:
i) 4 ii) 9 iii) 16 iv) 25
Step-by-step explanation:
2 x 2 = 4
3 x 3 = 9
4 x 4 = 16
5 x5 = 25
Answer:
i) is 2x2 which is 4
ii) is 3x3 which is 9
iii) is 4x4 which is 16
iiii) is 5x5 which is 25
Step-by-step explanation:
the exponent tells you how many times you multiply the base number by itself.
which has a steeper slope y=-2x or y=-3x
Answers
Answer:
y=-3x
Step-by-step explanation:
3>2. It doesn't matter if some or all of the numbers are negative.
Answer: y = -3x has the steeper slope
==========================================
Explanation:
Any linear equation is of the form y = mx+b, where m is the slope.
For y = -2x, the slope is -2. For y = -3x, the slope is -3.
We just look at the number to the left of x to find the slope.
To figure out which slope is steeper, we simply look to see which slope value is furthest from 0 on the number line. A slope of 0 itself is completely horizontal and flat. As the slope value moves away from zero, in either positive or negative direction, then the slope gets steeper and steeper.
In short, a slope of -3 is more steep compared to a slope of -2. Therefore, y = -3x is the answer.
The graph below helps visually confirm that y = -3x is indeed steeper. We drop one extra unit down each time we move to the right one space.
