3. (1) The population of a city was 1,20,000 in the year 2078 and the population growth rate was 4.5% 20,000 people migrated here from other places in the year 2079
(a) Find the population reached in the year 2079.
(b) What will be the total population in the year 2081?
Answers
The population reached in the year 2079 is 1,65,400 and the total population in the year 2081 would be 1,80,623.
To find the population reached in the year 2079, we need to consider the initial population and the growth rate, as well as the number of people who migrated.
The initial population in 2078 was 1,20,000. The population growth rate is 4.5%, which means the population will increase by 4.5% each year.
To calculate the population in 2079, we first need to calculate the increase in population due to the growth rate:
Population increase due to growth rate = 1,20,000 * (4.5/100) = 5,400
Then we add the number of people who migrated:
Total population in 2079 = Initial population + Population increase due to growth rate + Number of migrants
= 1,20,000 + 5,400 + 20,000
= 1,45,400 + 20,000
= 1,65,400
To calculate the total population in the year 2081, we need to consider the growth rate and the population in 2080.
The population in 2080 would be the population in 2079 plus the population increase due to the growth rate:
Population increase due to growth rate in 2080 = 1,65,400 * (4.5/100) = 7,444
Total population in 2080 = 1,65,400 + 7,444
= 1,72,844
To calculate the total population in 2081, we need to consider the growth rate and the population in 2080:
Population increase due to growth rate in 2081 = 1,72,844 * (4.5/100) = 7,779
Total population in 2081 = Population in 2080 + Population increase due to growth rate in 2081
= 1,72,844 + 7,779
= 1,80,623
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Related Questions
example. consider the function f (x) = x^3 – 3x + 1 (1) find the critical points of f(x) and the intervals on which the function f(x) is increasing and decreasing, and determine relative extrema of f(x) (11) find the intervals on which the function f(x) is concave up and concave down and locate the inflection points of f(x)
Answers
Answerdddddddddddddddddddddddddddddddddddddddddddddddddddddd
Step-by-step explanation:
what is the sequre root of 8
Answers
Answer:
\(2.82842712475\)
is the square root of 8.
(CLASSKICK) HELP ASAP!!!
Answers
Answer:
94.3
Step-by-step explanation:
You want to know how to fill in the proportion associated with the question, "What is 115% of 82?"
ProportionThe diagram is intended to help you match parts of the question to parts of the proportion. The attachment shows the intended relation.
The solution is found by multiplying both sides by 82:
(x/82)·82 = (115/100)·82
x = 94.3
EquationThe question can also be written as a statement:
"what" is 115% of 82
When written as an equation, "is" means "equals", and "of" means "times":
what = 115% × 82
Of course, you can use any variable name of your choosing in place of "what". In your diagram, that is "x". And, you know how to write a percentage as a fraction or decimal, so this becomes ...
x = 115/100 × 82 = 1.15 × 82
All that remains is to evaluate this expression.
x = 1.15 × 82 = 94.3
So, the answer to the question is ...
94.3 is 115% of 82.
Please answer quickly will mark brainliest!
Answers
Answer:
find a common denominator
Step-by-step explanation:
Mrs. Opsahl drove 399 miles on 14 gallons of gas. How many miles per gallon did her car get?
Answers
Answer:
28.5 miles per gallon
Step-by-step explanation:
Take the number of miles and divide by the gallons
399/14
28.5
28.5 miles per gallon
Answer: 28. 5 miles per gallon
Step-by-step explanation:
To do this you must divide 399 by 14
399 ÷ 14 = 28.5
To check:
28. 5 × 14 = 399
Evaluate: sin(30 degrees)cos(60 degrees)=(See attached image to assist with these 2 problems)
Answers
According to the figure we need to evaluate the sin(30°) and the cos(60°). Remember the trigonometric relations defined over the rectangle triangles as follows, suppose we have an angle called "alpha"
\(\begin{gathered} \sin(\alpha)=\frac{oc}{h}, \\ \\ cos(\alpha)=\frac{ac}{h}, \\ \\ tan(\alpha)=\frac{co}{ca} \\ \\ where\text{ }h:Hypotenuse,\text{ }ac:Adjacent\text{ }cathetus\text{ and }oc:Opposite\text{ }cathetus \end{gathered}\)Now, according to the figure, we have that for the angle of 60 degrees:
\(\begin{gathered} h=2x,ac=x,oc=\sqrt{3}x \\ \\ \sin(60°)=\frac{oc}{h}=\frac{\sqrt{3}x}{2x}=\frac{\sqrt{3}}{2} \\ \\ \cos(60^{\circ})=\frac{ac}{h}=\frac{x}{2x}=\frac{1}{2} \end{gathered}\)And for the angle of 30 degrees we get the following
\(\begin{gathered} h=2x,oc=x,ac=\sqrt{3}x \\ \\ \sin(30°)=\frac{oc}{h}=\frac{x}{2x}=\frac{1}{2}=\cos(60°) \\ \\ \cos(30^{\circ})=\frac{ac}{h}=\frac{\sqrt{3}x}{2x}=\frac{\sqrt{3}}{2}=\cos(60^{\circ}) \end{gathered}\)So, your answer is: sin(30°)=1/2=cos(60°).
Write the equation of the line:
(1,-7); slope =-1
Answers
Answer:
NOOPPPPEEEE
Step-by-step explanation:
Answer:
x+y = -6
Step-by-step explanation:
Equation of the line is (y-y1) = m (x-x1)
(x1,y1) = (1,-7) and m= -1
(y-(-7)) = (-1) (x-1)
y+7 = -x+1
x+y = 1-7
x+y = -6
Find the missing side. 31° Z z = [?] Round to the nearest tenth. Remember: SOHCAHTOA 21
![Find the missing side. 31 Z z = [?] Round to the nearest tenth. Remember: SOHCAHTOA 21](https://i5t5.c14.e2-1.dev/h-images-qa/contents/attachments/9Wo53l4VJj28ga8aoyl87alnvnYAbri4.jpeg)
Answers
A²+B²= C²
31²+ 21²= z²
961+441 = z²
1402= z²
z= 37.443290454
What is the inverse function of y = 2x - 8
Answers
Answer:
Step-by-step explanation:
y = 2x-8
2x = y+8
x = 0.5y+4
inverse function: y = 0.5x+4
PLEASE HELP!! What is the surface area of the cone?
Answers
Hope this helped
2A sign on the road says: "Speed limit, 60 miles per hour."
1. Let s be the speed of a car. Write an inequality that matches the information
on the sign.
2. Draw a number line to represent the solutions to the inequality.
3. Could 60 be a value of s? Explain your reasoning
Answers
the inequality that matches the information on the sign s ≤ 60.
What is inequality?
Mathematical expressions with inequalities on both sides are known as inequalities. In an inequality, we compare two values as opposed to equations. In between, the equal sign is changed to a less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.
The information on the sign says that the speed limit is 60 miles per hour. This means that the car's speed, s, should not exceed 60 miles per hour. Therefore, we can write the following inequality:
s ≤ 60
This means that the speed of the car, s, must be less than or equal to 60 miles per hour to obey the speed limit indicated on the sign.
Hence the inequality that matches the information on the sign s ≤ 60.
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someone please help me!!!
Answers
Answer:112
Step-by-step explanation: the line equals 180 so u do 180-68
destion
Find the domain of the function represented by the list of ordered pairs below.
{(-5,4), (8, 7), (1, 6), (11,3)}
Answers
Answer:
The domain is { -5,1,8,11}
Step-by-step explanation:
The domain is the input to the function
In this case, it is the x values of the ordered pairs
The domain is { -5,1,8,11}
Brandi needs to know how much fertilizer to buy for her garden at home. to help brandi find out how much fertilizer she needs for her garden, use the scale drawing below to determine the area of her actual garden.
Answers
3in with a scale of 1in = 4ft is equal to 3x4 = 12ft
1.25 in with a scale of 1 in = 4 ft is equal to 1.25x4 = 5ft
Area of the rectangle = width x lenght = 12 x 5 = 60 square feet
Answer:
Fourth option: 60 square feet
The points J (9,7), K (2,1), L(0,−8) and M (7,−2) form quadrilateral JKLM.
Plot the points
slope of JK =
length of JK =
slope of KL =
length of KL =
slope of LM =
length of LM =
slope of MJ =
length of MJ =
Quadrilateral JKLM can BEST be described as
Answers
Quadrilateral JKLM has sides with equal lengths (√85), and the slopes of opposite sides are equal. However, it is not a special type of quadrilateral like a rectangle or a square.
To describe quadrilateral JKLM, let's first plot the given points J(9, 7), K(2, 1), L(0, -8), and M(7, -2) on a coordinate plane:
J(9, 7) K(2, 1)
L(0, -8) M(7, -2)
To find the slopes and lengths of each side of the quadrilateral, we can use the distance formula and the slope formula.
Slope of JK:
Slope (m) = (change in y) / (change in x)
m(JK) = (7 - 1) / (9 - 2) = 6/7
Length of JK:
Length (d) = √[(x2 - x1)^2 + (y2 - y1)^2]
d(JK) = √[(9 - 2)^2 + (7 - 1)^2] = √(49 + 36) = √85
Slope of KL:
m(KL) = (-8 - 1) / (0 - 2) = -9/2
Length of KL:
d(KL) = √[(0 - 2)^2 + (-8 - 1)^2] = √(4 + 81) = √85
Slope of LM:
m(LM) = (-2 - (-8)) / (7 - 0) = 6/7 (same as slope of JK)
Length of LM:
d(LM) = √[(7 - 0)^2 + (-2 - (-8))^2] = √(49 + 36) = √85
Slope of MJ:
m(MJ) = (7 - (-2)) / (9 - 7) = 9
Length of MJ:
d(MJ) = √[(7 - 9)^2 + (-2 - (-8))^2] = √(4 + 36) = √40
Based on the calculations, we can describe quadrilateral JKLM as follows:
The slope of JK and LM is 6/7.
The slope of KL is -9/2.
The slope of MJ is 9.
The length of each side (JK, KL, LM, MJ) is √85.
The quadrilateral is not a rectangle or a square since the slopes of opposite sides (JK and LM) are not perpendicular.
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solve for 8v = 3v + 25
Answers
Answer:
v = 5
Step-by-step explanation:
Collect like-terms:
\(8v = 3v + 25\)
\(8v - 3v = 25\)
\(5v = 25\)
Divide both sides by 5 to make v the subject:
\(v = 5\)
can someone help me on number 4
Answers
Answer:
\(P = 48 in\),\(A= 120in^2\)
Step-by-step explanation:
Again we can use Pythagorean theorem to find the missing side
x^2 + 15^2 = 17^2
x^2 + 225 = 289
Subtract 225 from both sides
x^2 = 64
Find the square root of both sides
√x^2 = √64
x = 8
So
l = 15in, w = 8in
P=2(15) + 2(8)
P = 30 + 18
P = 48 in
A= 15(8)
A= 120in^2
answer my question please my teacher doesn’t teachjess makes and sells cube shaped jewelry boxes. she designs the jewelry boxes in different sizes and with different pattern jess wants to include the volume of each box on her price list. s is length of box when jess mails a jewlry box to a customer, she packs it inside a larger shipping box. the sides of a shipping box are 2 inches longer than the sides of a jewlry boxthe jewelry box is 8 inches long what is the volume of the shipping box?
Answers
Explanation:
The sides of shipping box are 2 inches longer than the sides of jewellery box.
Let s be the side of jewellery box.
So, s+2 will be the side of shipping box .
a) Volume of jewellery box is,
\(\begin{gathered} V=edge^3 \\ V=s^3 \end{gathered}\)b) Volume of shipping box is,
\(\begin{gathered} V=edge^3 \\ V=(s+2)^3 \end{gathered}\)The side of jewellery box is 8 inches.
s=8
Then the volume of shipping box is,
\(V=(8+2)^3=10^3=1000\text{ cubic inches}\)Answer: 1000 cubic inches.
Listed below is a table showing the number of employees. 20 years or older by gender in the United states
Answers
The total number of workers that were studied can be found to be 139,340,000.
The percent of workers unemployed would be 5. 4 %.
Percentage of unemployed men is 5. 6 % and unemployed women is 5. 1%.
How to find the employment figures ?Number of employed workers :
= 74,624,000 + 64, 716, 000
= 139,340,000
Percentage unemployed :
= ( 4, 209,000 + 3,314,000 ) / 139,340,000
= 5. 4 %
Percentage of unemployed men :
= 4,209,000 / 74,624,000
= 5.6 %
Percentage of unemployed women:
= 3,314,000 / 64, 716, 000
= 5. 1 %
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The full question is:
a. How many workers were studied?
b. What percent of the workers were unemployed?
c. Compare the percent unemployed for the men and the women.
Which shapes are similar but not congruent to shape 1
Answers
There are countless possibilities for shapes that are similar but not congruent to shape 1, as long as they maintain the same proportions and shape.
There are many shapes that are similar but not congruent to shape 1. Similar shapes have the same shape, but their sizes may be different. In contrast, congruent shapes have the same shape and size.
One example of a similar shape to shape 1 is a rectangle that is twice as long and half as wide. Another example could be a square that is three times larger in area than shape 1.
A parallelogram that has the same base as shape 1 but is three times as tall is also similar but not congruent.
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Evaluate the equation: 27m=9.45
Answers
Answer:
m = 0.35
Step-by-step explanation:
Divide 9.45 by 27
2₂
5
●x<0
X>0
●x< 1
3
2
A
-3
2 3
3
What is the domain of the function?
all real numbers
a
Answers
Answer:
x>0
Step-by-step explanation:
The domain of a function is the set of x-values.
Write 250 beads in total on 8 necklaces as an algebraic expression.
Answers
The algebraic expression that represents the number of beads per necklace is given as follows:
250/8.
How to write the algebraic expression?The algebraic expression representing the number of beads per necklace is obtained applying the proportion in the context of the problem.
The proportion is given by the division of the total number of beads by the total number of necklaces, as follows:
Beads per necklace = Number of beads / Number of necklaces.
The parameters for this problem are given as follows:
Number of beads: 250.Number of necklaces: 8.Hence the algebraic expression that represents the number of beads per necklace is given as follows:
250/8.
(dividing the number of beads by the number of necklaces given in this problem).
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what is the value of x
Answers
Answer:
x could be anything
Step-by-step explanation:
For an investment of 26,245, a quarterly statement reports that the account is 26,292. The statement reports that for the same quarter, the rate of return of the investment was - 0.02%. Given the information regarding the investment quarterly activity, does the reported rate of return seem reasonable?
Answers
No. The reported return rate appears lower than expected.
Rate of returnsTo determine whether the reported rate of return is reasonable or not, we can calculate the expected rate of return based on the investment amount and the ending value of the account.
First, we need to calculate the total number of quarters that have elapsed between the initial investment and the current quarter. Let's assume that the investment has been held for n quarters.
Then, we can use the following formula to calculate the expected rate of return:
Expected rate of return = (Ending value / Initial investment) ^ (1/n) - 1
Plugging in the given values, we get:
n = 1 (since we are only given information for a single quarter)
Initial investment = 26,245
Ending value = 26,292
Expected rate of return = (26,292 / 26,245) ^ (1/1) - 1 = 0.18%
Comparing the expected rate of return of 0.18% with the reported rate of return of -0.02%, we can see that they are quite different. However, it's important to note that a single quarter's rate of return may not be indicative of the overall performance of the investment.
Therefore, while the reported rate of return seems lower than expected, we would need to consider the performance over a longer period of time to make a more informed assessment of the investment's performance.
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9) The 50 cars used by a firm were inspected. 10 had faulty brakes and 15 had faulty tyres. There were 2 cars with faulty brakes but good tyres. How many cars had good brakes and good tyres? The answer is 33
Answers
Based on the information, there are 25 cars with good brakes and good tires.
How to calculate the valueTotal cars = 50
Cars with faulty brakes = 10
Cars with faulty tires = 15
Cars with faulty brakes and good tires = 2
Let's calculate the number of cars with good brakes and good tires:
Cars with faulty brakes or faulty tires = Cars with faulty brakes + Cars with faulty tires - Cars with faulty brakes and good tires
= 10 + 15 - 2
= 25
Cars with good brakes and good tires = Total cars - Cars with faulty brakes or faulty tires
= 50 - 25
= 25
Therefore, there are 25 cars with good brakes and good tires.
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Amber's gross pay is $45700 a year. The income tax rate is 4% and she takes $2000 in exemptions . What is her withholding for the year?
Answers
After accounting for the exemptions, Amber's withholding tax is $1,748 for the year.
The withholding tax is the amount of tax that Amber owes.
This amount is calculated by the formula:
= Net pay x Income tax rate
Net pay = Gross pay - Exemptions
= 45,700 - 2,000
= $43,700
Withholding is:
= 43,700 x 4%
= $1,748
In conclusion, Amber's withholding for the year is $1,748.
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I need to solve for x but I'm not sure how to solve it.
Answers
So then 6x is 66
X is 11
you want to spend less than $100 at the store you choose a combination of shirts for $8 and shorts for $12 let x equal the number of shirts you purchase and y = the number of shorts you purchase. Write in inequality for the scenario
Answers
Answer:
\(8x + 12y <\:100\)
Step-by-step explanation:
For shirts:Cost of one shirt = $8Number of shirts = xTotal cost of x shirts = 8x For shorts:Cost of one short = $12Number of shorts = yTotal cost of y shorts = 12yTotal cost of x shirts and y shorts = 8x + 12yIt is given that: buyor has to spend less than $100. Thus, the total cost of x shirts and y shorts will be < 100. In mathematical form, it can be expressed as given below.\(8x + 12y <\:100\)help asap!!! (DIFFERENT THAN ALL THE OTHERS!!!)
A colored spinner with eight equal sections is given.
a colored spinner with 8 equal sections numbered 1-8
Using the fair spinner, determine P(greater than 3) when the spinner is spun once.
0.625
0.875
0.125
0.25
Answers
The probability of getting a number greater than 3 when the spinner is spun once is the probability of getting a 4, 5, 6, 7, or 8, which are five out of the eight possible outcomes.
So, the probability of getting a number greater than 3 is:
P(greater than 3) = 5/8
Therefore, the answer is 0.625.