Answer:
423,437,744
Step-by-step explanation:
Given that :
Projected population in 2020 = 334.4 million
Estimated growth rate (r) = 0.79%
Projected population in 2050 ;
Using the exponential growth function :
Estimated value = initial value(1 + growth rate)^time
Initial value = i
Time = 2020 - 2014 = 6 years
334.4 = i(1 + 0.0079)^6
334.4 = i(1.0079)^6
334.4 = i2.43087455521E−13
i = 3.189786E8
Initial population = 318. 978 million
Estimated Population in 2050:
2050 - 2014 = 36
Projected population = 3.189786E8(1.0079)^36
Projected population = 3.189786E8*1.3274801
= 423437743.82586
= 423437744 million
A bug crawls 5 1/2 feet in 28.6 seconds. At that pace, how many seconds does it take the bug to crawl one foot?
Answer:
5.2 seconds
Step-by-step explanation:
To get one foot, we need to divide by 5.5
Set up a proportion:
\(\frac{5.5}{5.5}=\frac{28.6}{5.5}\)
Solve:
\(1ft.=5.2secs.\)
A class has four girls and five boys. How many ways can everyone be arranged in a row, so that all four girls are next to each other?
Answer:
puting the boys side by side and the girls side by side???
Step-by-step explanation:
What is the opposite of the opposite of -5?
Answer:
-5
Step-by-step explanation:
The opposite would be 5, but since we need the opposite of the opposite, the opposite of 5 is -5. Hope this helped and wasn't too confusing!
I NEED HELP 30 POINT!!
Answer:
35
Step-by-step explanation:
You can easily graph this in desmos for a visual understanding.
The slope of a line is received by (y2-y1)/(x2-x1). Assuming that Days is X and the cost is Y, we get (160-90)/(4-2), and it makes 70/2, which equates out to 35. Because the prices become more and more expensive, the slope is positive 35.
Angle ADB and CD are straight lines. angle ADC = 5 x angle CDB Work out the size of angle ADC.
Answer:
Step-by-step explanation:
pls help!! Thank you!
Answer:
C
Step-by-step explanation:
\(\left(\frac{f}{g} \right)(x)=\frac{f(x)}{g(x)} \\ \\ \frac{f(x)}{g(x)}=\frac{\sqrt[3]{2x}}{2x+1}\)
The denominator cannot equal 0, so:
\(2x+1 \neq 0 \implies x \neq -\frac{1}{2}\)
URGENT DUE IN FEW MINS6th grade math Calculate to TOTAL Surface Area.
Do NOT count the surface under the pyramid.
The surface area of the solid is 281 ft².
Given that, a solid figure made of a rectangular prism and a square pyramid,
We need to find its surface area,
To find the same, we will find the lateral surface area of square pyramid, and total surface area of rectangular prism,
So,
Surface area = 2×side×slant height + 2(length·width+width·height+height·length)-base area of the square pyramid,
= 2×5×5 + 2(4·12+12·5+4·5)-5²
= 50+256-25
= 281 ft²
Hence the surface area of the solid is 281 ft².
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A printing machine 600 books in 3 hours. How many books will the machine print in 5
Answer:
1, 000 hrs
Step-by-step explanation:
The machine prints,
in 3 hrs = 600 books
in 1 hr = 600/ 3 hrs = 200 hrs.
in 5 hrs = 200 × 5
= 1, 000 hrs
The printing machine will print 1000 books in 5 hours.
Let's calculate how many books the printing machine will print in 5 hours based on the given information.
To do this, we'll use the concept of rates and proportions.
Given that the printing machine can print 600 books in 3 hours, we can set up a rate equation as follows:
Rate of printing = Number of books / Time taken
Let "x" be the number of books the machine will print in 5 hours. We can set up the proportion:
600 books / 3 hours = x books / 5 hours
To solve for "x," we cross-multiply:
3 * x = 600 * 5
Now, let's solve for "x":
3x = 3000
x = 3000 / 3
x = 1000
So, the printing machine will print 1000 books in 5 hours.
Given: Printing machine prints 600 books in 3 hours.
Let the number of books the machine will print in 5 hours be "x."
Using the rate formula, we can set up the proportion:
600 books / 3 hours = x books / 5 hours
Cross-multiplying:
3 * x = 600 * 5
Solving for "x":
3x = 3000
x = 3000 / 3
x = 1000
Hence, the printing machine will print 1000 books in 5 hours.
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Which negative angle is equivalent to a 75° angle?
Answer:
A) -285
Step-by-step explanation:
360-75=285
Amelia grabbed 50% of the M&M's from a bowl. Then, Jess took 50% of what was left. Dominick takes 50% of the remaining M&M's. There were 3 left. How many M&M's were in the bowl before Amelia arrived.
The number of M&M's that were in the bowl before Amelia arrived is; 12
How to solve Percentage problems?Let the original amount in the bowl be x. Thus;
If Amelia grabbed 50%, then amount left = (100% - 50%)x = 50%x = 0.5x
Now, we are told that domicick took 50% of what was keft after amelia. Thus; New amount left = 100%x - (0.5x + 0.25x) = 0.25x
Now, we are told that there were finally 3 left after all the deductions. Thus;
0.25x = 3
x = 3/0.25
x = 12
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Whitney has 20 coins in her purse. Some are quarters and some are dimes. The total value of the coins is $3.35. How many quarters does Whitney have?
Answer:
I think it's 15 Quarters.
Step-by-step explanation:
The required number of dimes and quarter Whitney has is 11 and 9 respectively.
Given that,
Whitney has 20 coins in her purse. Some are quarters and some are dimes. The total value of the coins is $3.35. The number of quarters Whitney have is to be determined.
Simultaneous linear equations are two- or three-variable linear equations that can be solved together to arrive at a common solution.
Here,
Let the number of dimes be x and the number of quarters be y,
According to ot the question,
x + y = 20
x = 20 - y - - - - (1)
and
0.1x + 0.25y = 3.35
From equation 1
0.1[20 - y] + 0.25y = 3.35
y = 9
Now,
x = 20 - 9
x = 11
Thus, the required number of dimes and quarters Whitney has is 11 and 9 respectively.
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The actual distance between town A and twon b is 64 question # 10
Answer:
8 cm; from the table
Step-by-step explanation:
The equation gives the ground distance in terms of the map distance, so would have to be solved for x to be used to find map distance.
The graph is not shown.
The table appears correct, and includes the value 32 km for a map distance of 4 cm. The ground distance of interest is 64 km, which is twice that table value. That means the map distance will be twice the corresponding table value: 2×4 cm = 8 cm.
The distance from Town A to Town B is represented on the map by 8 cm.
\(~\hspace{16em}\underset{\downarrow }{\textit{distance on map}}\\ \begin{array}{|c|c|c|c|c|c|c|c|c|c|} \cline{1-10} Map&0&1&2&3&4&5&6&7&8\\ \cline{1-10} Actual&0&8&16&24&32&40&48&56&64\\ \cline{1-10} \end{array}\\ ~\hspace{16em}\stackrel{\uparrow }{actual~distance}\)
Victor us is uncle $1000 recently he gave his uncle $200 for the payment was 20% of the money he owes
Victor still owes $800 to his uncle.
What do you mean by Loan?A loan is a sum of money that is borrowed by an individual or organization from a lender, usually with the expectation that it will be repaid with interest. The borrower is typically required to pay back the loan in regular payments, called instalments, over a period of time. Loans can be secured or unsecured. A secured loan is a loan that is backed by an asset, such as a house or car, which the lender can take possession of if the borrower fails to repay the loan. An unsecured loan is a loan that is not backed by an asset, and the lender relies on the borrower's creditworthiness and ability to repay the loan.
Victor's uncle loaned him $1000 and recently Victor paid $200 as a part of the loan. We know that the payment was 20% of the money he owes, so we can use this information to calculate the remaining amount of the loan.
20% of $1000 is (20/100)*1000 = $200
If $200 was 20% of the money he owes, then the remaining amount of the loan is $1000 - $200 = $800
So, Victor still owes $800 to his uncle.
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The Time series graph gives some information about the number of umbrellas sold in a shop in the first 6 months of 2015.
The sales target for the first 6 month of 2015 was to sell a mean of 65 umbrellas per month.
Did the shop meet this target? Show how you got your answer.
Thanks :)
Answer:
no
Step-by-step explanation:
Help me please to find the correct answer it’s algebra 2
Question:
Solution:
An inverse function is a function that reverses another function: if the function f applied to an input x gives a result of y, then applying its inverse function g to y gives the result x. According to this, we can conclude that the correct answer is:
\((b,a)\)-4 = r/20 -5
Solve for r. Show your steps
Answer:
r = 20
Explanation:
-4 = r/20 - 5
Simplify both sides of the equation-4 = r/20 - 5
-4 = 1/20r + -5
-4 = 1/20r - 5
Flip the equation1/20r - 5 = -4
Add 5 to both sides1/20r - 5 + 5 = -4 + 5
1/20r = 1
Multiply both sides of the equation by 20(20)1/20r = 1(20)
r = 20Suppose that you and a friend are playing cards and you decide to make a friendly wager. The bet is that you will draw two cards without replacement from a standard deck. If both cards are spades, your friend will pay you $39 $ 39 . Otherwise, you have to pay your friend $5 $ 5 . Step 2 of 2 : If this same bet is made 623 623 times, how much would you expect to win or lose? Round your answer to two decimal places. Losses must be expressed as negative values.
The amount of winning is more than amount of loosing. Then the amount of winning will be $3738.
How to find that a given condition can be modelled by binomial distribution?Binomial distributions consist of n independent Bernoulli trials.
The expected value will be
E(X) = np
Suppose that you and a friend are playing cards, and you decide to make a friendly wager.
The bet is that you will draw two cards without replacement from a standard deck.
If both cards are spades, your friend will pay you $39.
Otherwise, you have to pay your friend $5.
If this same bet is made 623 times.
The maximum amount of winning will be
E(win) = np
We have
p = 0.25
n = 623
Then we have
E(win) = 0.25 × 623
E(win) = 155.75
Then the winning amount will be
WA = 155.75 × 39
WA = $6074.25
The maximum amount of loosing will be
E(loose) = np
We have
p = 0.75
n = 623
Then we have
E(loose) = 0.75 × 623
E(loose) = 467.25
Then the loosing amount will be
LA = 467.25 × 5
LA = $2336.25
Then the amount of winning will be
⇒ $ 6074.25 - $ 2336.25
⇒ $ 3738
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a cruise ship sailed for 9 hours at a speed of 18 miles per hour how far did a cruise ship sell
Answer:
162 miles
Step-by-step explanation:
Step 1:
9 : 18 Rate
Step 2:
9 × 18 Equation
Answer:
162 miles Multiply
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-35 divided by 5 please help me ASAP
Answer:
- 35 / 5 is - 7. So the answer is -7
Answer:
-7
Step-by-step explanation:
-35/5
Just divide this
= -7
Down bad rn plz help
Answer:
\(8x - 7 = 7x + 22 \\ 8x - 7x = 7 + 22 \\ x = 29 \\ kj = 7 \times x \\ 29 \times 7 \\ = 203\)
Step-by-step explanation:
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Solving absolute value equations
Solve4 (x+7)=16
Answer: X = -3
Step-by-step explanation:
HELP ASAP PLEASE!
The net for a triangular prism is shown below. What is the total surface area of the prism? 6.9 cm 8 cm 10 cm 8 cm 0 55.2 square centimeters 0 295.2 square centimeters 0 240 square centimeters 0 552 square centimeters
Answer:
Step-by-step explanation:
The area of each rectangle is Length x width
Therefore Area of rectagle is 8cm x 10 cm=
A= 80 cm 2
There are three rectangles with the same measure so multiply the area by 3
80cm squared x 3= 240 cm 2
Now find the are of the triangle:
A- 1/2 x base x height
Base = 8cm
Height = 6.9 cm
A= (1/2) (8cm) (6.9cm)
A= (1/2) (55.2 cm squared)
A= 27.6 cm squared
Since there are two triangle faces with the same dimensions take the area and multiply it by 2
27.6 cm squared times 2 = 55/2 cm squared
Now add up the area of the rectangles and the area of the triangles.
Rectangles= 240 cm squared
Triangles 55.2 cm squared
240cm sq + 55.2 cm sq.= 295.2 cm squared
Review the graph.
On a coordinate plane, a circle has center (4, 0) and radius 4. Another circle has center (2, negative 3) and radius 6. The area inside of the first circle and outside of the second circle between the 2 circles is shaded.
Which system of inequalities is shown in the graph?
36 > (x + 3)2 + (y – 2)2 and 16 > (x – 4)2 + y2
36 > (x – 2)2 + (y + 3)2 and 16 > (x – 4)2 + y2
36 < (x + 3)2 + (y – 2)2 and 16 > (x – 4)2 + y2
36 < (x – 2)2 + (y + 3)2 and 16 > (x – 4)2 + y2
Answer:
36 < (x - 2)² + (y + 3)² and 16 > (x - 4)² + y²
Step-by-step explanation:
This is because the shaded area is inside the first circle (centered at (4, 0) with a radius of 4) but outside the second circle (centered at (2, -3) with a radius of 6). The inequalities reflect these conditions by setting the inequality signs accordingly. The inequality with "<" for the first circle ensures that the shaded area is within the circle, and the inequality with ">" for the second circle ensures that the shaded area is outside the circle.
Lightfoot Inc., a software development firm, has stock outstanding as follows: 20,000 shares of cumulative preferred 2% stock, $20 par, and 25,000 shares of $100 par common. During its first four years of operations, the following amounts were distributed as dividends: first year, $3,000; second year, $5,000; third year, $34,500; fourth year, $71,000.
The amount of Dividends of $3,000, $5,000, $34,500, and $71,000 were distributed to the 20,000 preferred and 25,000 common shareholders of Lightfoot Inc. over the first four years of operations.
To calculate the dividend per share of the preferred and common stock of Lightfoot Inc., the total amount of dividends paid out over the first four years must first be determined. This can be done by adding the given amounts of $3,000, $5,000, $34,500, and $71,000 to get a total of $113,500. To find the dividend per share for the preferred stock, the total dividend is divided by the number of shares (20,000) which gives a dividend per share of $5.68. To find the dividend per share for the common stock, the total dividend is divided by the number of shares (25,000) which gives a dividend per share of $4.54.
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Rena, a pharmacy technician, is looking to make a 45%
solution. She has the alligation pictured below.
A.
20
45
Which solution can be used to fill in location A?
O 35
O 40
O45
O 55
The solution that can be used to fill in location A is 45%.
In this case, Rena is trying to make a 45% solution. The alligation diagram shows two solutions with concentrations of 20% and 45%. The concentration at location A represents the concentration of the final mixture.
To determine the concentration at location A, we can visually observe the positioning of the concentrations on the diagram. The closer a concentration is to location A, the more it contributes to the final mixture.
In this case, the concentration of 45% is closer to location A than the concentration of 20%.
This means that more of the 45% solution should be used in the mixture to achieve a 45% concentration.
Therefore, the solution that can be used to fill in location A is 45%.
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Which of the following can divide into 756 with no remainder?
Select all that are correct. (Chapter 4)
Select
4
2
9
25
5
8
10
3
6
Answer:
4, 2, 9, 3, 6
Step-by-step explanation:
756/4= 189
756/2= 378
756/9= 84
756/25= 30.24
756/5= 151.2
756/8= 94.5
756/10= 75.6
756/3= 252
756/6= 126
how are the shapes alikei need to know
The similarity between the cube and cuboid is that both have 12 edges.
option C.
What is a cube and cuboid?A cube is a solid three-dimensional figure, which has 6 square faces, 8 vertices and 12 edges.
So a cube is a three-dimensional solid figure, having 6 square faces and 12 edges.
A cuboid is a three-dimensional geometric shape that looks like a book or a rectangular box.
A cuboid can be defined as a three-dimensional solid shape that has 12 edges, 8 vertices, and 6 faces and each of its faces is rectangular in shape.
So the similarity between a cube and cuboid is that both have 6 faces and 12 edges.
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Which of the following could be its measure?
A. 92
B.180
C.240
D.360
Answer:
180 is a straight angle so B
what is 2/5 ÷ 4 the long way with keep change flip?
Answer:
1/10 is your answer!
Step-by-step explanation:\
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