The number of people by the year 2050 is obtained as 927915 people.
What is the population in 2050?We know that population is an exponential growth problem in this case. We have to apply the formula;
P = Poe^rt
P = population at time t
Po = Initial population
r = population growth rate
t = time taken
Now;
We have to use the relation to find the growth rate as follows;
733,000 = 622,000 e^20r
733,000/622,000 = e^20r
1.178 = e^20r
ln(1.178) = 20r
r = ln(1.178)/20
r = 0.008
Now;
In the year 2050, we would have;
P = 622,000 e^50 * 0.008
P = 927915 people
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A small class has 10 students, 5 of whom are girls and 5 of whom are boys. The teacher is going to choose two of the students at random. What is the
probability that the first student chosen will be a girl and the second will be a boy? Write your answer as a fraction in simplest form?
Answer:
the chances are most likely going to be 50/50
Step-by-step explanation:
50
50
Answer: 1/5
Step-by-step explanation:
The graph below shows the percent of times a family ate at different restaurants in a year. The family ate at MacGregor’s 27 times.
How many times did the family eat at restaurants in a year?
20% amys place
10% pizza hut
10% taco bell
27 times adams house
Answer:
b pizza hut
Step-by-step explanation:
sorry im wrong
Find the arc length of the partial circle.
Answer in terms of π or use 3.14, and enter your answer as a decimal.
[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]
As we know :
Length of arc = Radius × Angle made by Arc at center [ in radians ]
[tex]\qquad \tt \dashrightarrow \: arc = radius \times angle \: \: ( in \: \: rad)[/tex]
[tex]\qquad \tt \dashrightarrow \: arc = 8 \times \dfrac{ \pi}{2} [/tex]
[tex]\qquad \tt \dashrightarrow \: arc = 4 \pi \dfrac{ }{} \: \: units[/tex]
or
[tex]\qquad \tt \dashrightarrow \: arc = 4 \times 3.14 = 12.56 \: \: units\dfrac{ }{} \: \: [/tex]
Arc length
L=r[tex]\theta[/tex]L=8(π/2)L=4πL=12.6unitsAlondra wrote the following incomplete statement
4.3 < 4 ___
Which of the following strategies could Alondra use to help her complete the statement? Answer all that apply
Answer:
4.3< 4.1
Step-by-step explanation:
its 4.1 because 4 is the same and three is greater than one
PLS HELP - FREE BRAINLIEST: Suppose 4 < a < 5 and 2 < b < 4. Find all possible values of each expression.
The expression indicated that the values of a will be between 4.01 and 4.99 and b will be between 2.01 and 3.99.
How to calculate the expression?From the first expression, 4 < a < 5. This means that 4 is less than a and a is less than 5. This means the values of a will be between 4.01 and 4.99.
Also, 2 < b < 4. This means that 2 is less than b and b is less than 4. Therefore, the values of b will be between 2.01 and 3.99.
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Answer:
The answer to a is 4.5, and the answer to b is 3.
Step-by-step explanation:
The averages are found as shown:
4+5=9
9/2=4.5
2+4=6
6/2=3
To find averages, first add all of the certain amount of numbers shown, then divide it all by the same amount of numbers there are.
Example:
5+7+9=21
21/3=7
I dont like math it is really really hard
Answer:
well yeah no one likes math i mean unless you mark zuckerberg
Step-by-step explanation:
What is the solution to the equation 5x + 2(x − 4) = 5x + x − 10? (1 point) a 3 b 2 c −2 d −3
Answer: C= -2
Step-by-step explanation:
Answer:
C. -2
Step-by-step explanation:
5x + 2(x − 4) = 5x + x − 10
Subtract 5 from both sides,
5x + 2(x - 4) - 5x = 5x + x - 10 - 5x
Simplify,
2(x - 4) = x - 10
Distribute,
2x - 8 = x - 10
Add 8 to both sides,
2x - 8 + 8 = x - 10 + 8
Simplify,
2x = x - 2
Subtract x from both sides,
2x - x = x - 2 - x
Simplify,
x = -2
on a number line show all the values of X that have an absolute value less than three
Answer:
x can equal 2, 1, 0, -1, -2. A line graph is shown below.
Step-by-step explanation:
The absolute value means simply changing any negative number into a positive number. In this case, anything less than three and more than -3. If it was negative 3, then it would turn into 3. Which isn't less than. This means we can do : 2, 1, 0, -1, -2.
x can equal 2, 1, 0, -1, -2.
I have a bed but never sleep, I have a mouth but never eat, I run but never walk. What am I?
Answer:
A river
Explanation;
A river has a "bed," they have a "mouth," and they "run."
a rectangle has an area of 54 square inches the width of the rectangle is 9 inches what is the langth
Answer:
As per Provided Information
Area of rectangle is 54 square inchesWidth of the rectangle is 9 inches.We have to calculate the length of rectangle .
As we know the formula to find the Area of rectangle .
[tex] \boxed{\bf \: Area_{(Rectangle)} = length \: \times width}[/tex]
On substituting the value we obtain
[tex] \sf \qquad \: \longrightarrow 54 = length \times 9 \\ \\ \\ \sf \qquad \: \longrightarrow \cfrac{54}{9} = length \\ \\ \\ \sf \qquad \: \longrightarrow \: length \: = \cfrac{54}{9} \\ \\ \\ \sf \qquad \: \longrightarrow \: length \: = \cancel \cfrac{54}{9} \\ \\ \\ \sf \qquad \: \longrightarrow \: length \: = 6 \: inches[/tex]
Therefore,
Length of the rectangle is 6 inches .Scaling factors! Help!
Answer:
x=15
y=2
Step-by-step explanation:
the scale factor is 6:1
if you divide 12 by 6 you get 2
so y=2
if you multiply 6 by 2.5 you get 15
so x=15
Joe was paid $216 for 16 hours of work. How much was he paid per hour
Answer:
13.5 dollars per hour
Step-by-step explanation:
216 divided by 16 is 13.5
Answer:
13.5
Step-by-step explanation:
All you have to do is divide $216 by 16
Need Help!
Ginger has an unpaid balance of $2,018.91 on her credit card. Her credit card has an interest rate of 1.2% per month. If she makes a payment of $500, how much will she owe at the end of the month?
$1,518.91
$1,537.14
$1,500.68
$1,543.14
Answer:
$1,537.14
I had this question once and this was the answrr
How do I graph h(x) = 4|x+4| +3
Answer:
Move the point on the diagonal to (1,4) then move the vertex 4 units left and 3 units upwards
Step-by-step explanation:
PLEASE HELP
How do I find the periods??
Answer:
look for where the graph intertacts.
Step-by-step explanation:
which of the following best describes a tessellation
Answer:
A
Step-by-step explanation:
A tessellation or tiling is the covering of a surface, often a plane, using one or more geometric shapes, called tiles, with no overlaps and no gaps
Hope this helps!
I need help for this question real quick. Please help if you can
Answer:
Exact area = 272 - 28.125pi square cm
Approximate area = 183.6875 square cm (when using pi = 3.14)
=======================================================
Explanation:
The trapezium has the parallel sides of 12+13 = 25 cm and 15 cm. Those vertical sides average to (25+15)/2 = 40/2 = 20. Multiply this with the height of the trapezium to get 20*24 = 480 sq cm as the area.
You could also use this trapezium area formula
A = h*(b1+b2)/2
A = 24*(25+15)/2
A = 480
Whichever method you use, the trapezium has an area of exactly 480 square cm.
--------------------------------------
The paralellogram has base of 13 and height of 16, so its area is base*height = 13*16 = 208 sq cm
The semicircle has area of 0.5*pi*r^2 = 0.5*pi*7.5^2 = 28.125pi square cm. Notice that I used r = 7.5 which is half of the diameter 15 cm.
The parallelogram and semicircle areas add to 208+28.125pi
---------------------------------------
Subtract this from the area of the trapezium to wrap things up
480 - (208+28.125pi)
480 - 208 - 28.125pi
272 - 28.125pi
This is the exact area of the blue shaded region in terms of pi
To get the approximate area, replace pi with something like 3.14 and compute.
So 272 - 28.125pi = 272 - 28.125(3.14) = 183.6875 is the approximate area when pi = 3.14
Use more decimal digits of pi to get a more accurate value.
Al and his sister share a pizza cut into six equal pieces.
Ali eats of all the pieces. His sister eats of the remaining pieces.
After both Ali and his sister have eaten, what fraction of the pizza is left?
When both Ali and his sister have eaten, the fraction of the pizza that is left will be 5/12.
How to calculate the fraction?From the complete information, Ali eats 1/3 and his sister eats 1/4 of the pizza. Therefore, the number eaten by Ali will be:
= 1/3 × 6 = 2
The number eaten by the sister will be:
= 1/4 × 6 = 1.5
The remaining fraction will be:
=1 - (2 + 1.5)/6
= 1 - (3.5/6)
= 2.5/6
= 5/12
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solve for the measure of angle JKL in the diagram below? Show your work and explain the steps you used to solve
bagles come in bags of eight. how many bagles are in 2 3/4 bags?
A person invests 7000 dollars in a bank. The bank pays 5.5% interest compounded
monthly. To the nearest tenth of a year, how long must the person leave the money
in the bank until it reaches 13200 dollars?
The time required to get a total amount of $13,200.00 with compounded interest on a principal of $7,000.00 at an interest rate of 5.5% per year and compounded 12 times per year is 11.559 years. (about 11 years 7 months)
Answer:
t = 11.559 years
Compound InterestGiven Data
Principal P= $7000Rate r= 5.5%Final Amount A = $13200Time t = ??(about 11 years 7 months)
Calculation Steps:
First, convert R as a percent to r as a decimal
r = R/100
r = 5.5/100
r = 0.055 per year,
Then, solve the equation for t
t = ln(A/P) / n[ln(1 + r/n)]
t = ln(13,200.00/7,000.00) / ( 12 × [ln(1 + 0.055/12)] )
t = ln(13,200.00/7,000.00) / ( 12 × [ln(1 + 0.0045833333333333)] )
t = 11.559 years
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Bobby says, “when you multiply two numbers, the product is greater than both factors “ Bobby’s claim is not always true select the two multiplication expressions that show Bobby’s claim is not always true
Answer:
0*1=0 7*1 basically anything multiplied by 0 or 1 will not be greater than both factors
Step-by-step explanation:
Based on how I do not know the options I am going to say what I believe you might have as options for example, anything multiplied by 0 is less than and anything multiplied by 1 is not greater it is equal to.
Help which one is propotional?
Answer: C
Step-by-step explanation: Because that table is showing (x - y)
Find the area of this figure
Answer:
Step-by-step explanation:
4 * 9 + 2* 9 + 1/2*6 * 3
= 36 + 18 + 9
= 63 in^2
How many variable terms are in the expression 3x3y + 5xz − 4y + x − z + 9? (Input a numeric value only.)
Numerical Answers Expected!
Answer for Blank 1:
6
Answer:
there are three variable terms
A flower bouquet contains pink roses, red roses, pink carnations, and red carnations. One third of the pink flowers are roses, three fourths of the red flowers are carnations, and six tenths of the flowers are pink. What percent of the flowers are carnations
= 70% of the flowers are carnations
How do you find the probability of an outcome?Probability tells you which outcome is more likely to occur in any given event. You could determine the probability of the particular outcome by dividing the number of times that the outcome has occurred by the total no of events.
we are given that,
6/10 = 3/5 of the flowers are pink, do
we know .2/5 of the flowers are red .
Since 1/3 of the pink flowers are roses, 2/3 of
the pink flowers are on Carnations .
we are given that 2/4 of the red
flowers are carnations .
The number carnations are
[tex]\frac{3}{5} * \frac{2}{3} + \frac{2}{5} * \frac{3}{4}[/tex]
[tex]=\frac{2}{5} +\frac{3}{10}[/tex]
[tex]= \frac{4 + 3}{10}[/tex]
[tex]=\frac{7}{10}[/tex]
covert into percent
[tex]=\frac{7}{10} 100[/tex]
= 70%
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a farmer receives 65% of proceeds of the sale of a crop of wheat. if the wheat is sold for $62,400. How much does he receive?
Answer:
40,560
Step-by-step explanation:
To find how much the farmer recives, we simply multiply:
62,400 * 65% = 40,560
multiply 2 5/8 times - 2 3/5 what is the answer
Step 1: Change the Mixed Numbers into Improper Fractions
---To do so, multiply the number by the denominator and add that product to the numerator.
2 x 8 = 16 + 5 = 21
21 / 8
2 x 5 = 10 + 3 = 13
13 / 5
Step 2: Multiply the Improper Fractions
---When multiplying fractions, multiply straight across (numerator x numerator and denominator x denominator).
21 / 8 x 13 / 5 = (21 x 13) / (8 x 5) = 273 / 40
Step 3: Simplify
---Change the improper fraction back into a mixed number a simplify if necessary.
40 x 6 = 240
273 - 240 = 33
6 33/40
Answer: 6 33/40
Hope this helps!
Q6. The first three terms of an arithmetic series are 60, 4p and 2p-6 respectively (a) Show that p= 9 (b) Find the value of the 20th term of this series. (c) Prove that the sum of the first n terms of this series is given by the expression 12n (6 - n)
Answer:
p=9
t20=516
Step-by-step explanation:
a
4p-60=2p-6-2p
6p=54
p=9
b
a=60.. d=24
t20=a+19d
=60+19×24
=516
c
Sn=12.5+12.3+12.1
=12n(6-n)
Fill in the missing reasons for the following two-column proof for the following information. given: m is the midpoint of cd; cm = 3x – 10; md = 6x – 22 prove: x = 4 statement reason m is the midpoint of cd; cm = 3x – 10 ; md = 6x - 22 1. ? cm = md 2. ? 3x – 10 = 6x – 22 substitution -3x – 10 = -22 subtraction property of equality -3x = -12 3. ? x = 4 division property of equality
Midpoint is the middle segment of a given line. Since md = cm = 2 hence the point m is the midpoint of cd
How to prove the midpoint of a line?A line is a distance between two points. Given the line cd with "m" as the midpoint, the distance between cm and md will be equal that is:
md = cm
Given the following parameters
md = 6x - 22
cm = 3x - 10
Equate both expressions
6x - 22 = 3x - 10
6x - 3x = -10 + 22
3x = 12
x = 4
subtitute
cm = 3x - 10
cm = 3(4) - 10
cm =
Similarly:
md = 6x -22
md = 6(4) --22
md =
Since md = cm = 2 hence the point m is the midpoint of cd
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