The annual growth rate is 41.4% and the monthly growth rate is 3.45%. The continuous growth rate per year is 2.77%.
Explanation:To determine the annual growth rate, we need to find the growth factor by taking the square root of the doubling factor. Since the population is predicted to double every 25 years, the annual growth rate would be the square root of 2, which is approximately 1.414. To express it as a percentage, we can subtract 1 from the growth factor and multiply by 100, resulting in an annual growth rate of 41.4%.
The monthly growth rate can be calculated by dividing the annual growth rate by 12. In this case, the monthly growth rate would be approximately 3.45%.
To determine the continuous growth rate per year, we use the formula: r = ln(2)/t, where r is the continuous growth rate and t is the doubling time in years. In this case, the continuous growth rate would be ln(2)/25, which is approximately 0.0277. Multiplying this by 100, we get a continuous growth rate per year of 2.77%.
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The length of a rectangle is 3cm more than twice the width. The perimeter of the rectangle is 42 cm. Find the dimensions of the rectangle
binomial ( 5x - y ) ^ 10 terms ax ^ 2 y ^8
Given that cosθ = - and θ is in the second quadrant, find cscθ.
Workmen used 5/8 of a pallet of pavers to build 5 steps leading up to the mansion. Each step they built was the same size. How many pallets did they use for each step?
Find an equation of the circle that satisfies the given conditions:
Endpoints of a diameter are P(-1,3) and Q(7,-7)
How many times can 167 go into 1135.
What is the length of hn¯¯¯¯¯¯ ? segment a n with point h between a and n. congruency markings on segment a h and segment h n. segment a n is labeled as being 38 units long enter your answer in the box?
Answer:
The length of HN is 19 unit.
Step-by-step explanation:
Consider the provided information:
It is given that the length of line segment AN is 38 units.
Now consider figure 1:
It is given that the point H is in between A and N. Also with the concurrency markings on segment AH and segment HN.
Therefore, the length of the segment AH = HN
AH + HN = AN
Consider the length of AH = HN = x
Therefore,
[tex]x+x=38[/tex]
[tex]2x=38[/tex]
[tex]x=\frac{38}{2}[/tex]
[tex]x=19[/tex]
Hence, the length of HN is 19 unit.
The amount of jen's monthly phone bill is normally distributed with a mean of $76 and a standard deviation of $9. what percent of her phone bills are between $49 and $103
Approximately 99.73% of Jen's phone bills are between $49 to $103. This is calculated by transforming the prices into z-scores regarding the normal distribution and then checking these z-scores in a standard normal distribution table.
Explanation:The problem is a question about the normal distribution. Using the properties of a normal distribution, we can solve it as follows:
First, transform the phone bill amounts into z-scores. The z-score is the number of standard deviations from the mean.For $49, the z-score is (49 - 76) / 9 = -3.For $103, the z-score is (103 - 76) / 9 = 3.Next, look up these z-scores in a standard normal distribution table or use a calculator that can calculate areas under the normal distribution.The table or the calculator will give you the percent of all observations falling below these two scores.The area to the left of z = 3 (or to the right of z = -3) is about 99.865%, and the area to the left of z = -3 is about 0.135%. Finally, subtract the percentages to get the percent of phone bills between $49 and $103.This is 99.865% - 0.135% = 99.73%.In conclusion, about 99.73% of Jen's phone bills are between $49 and $103.
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99.74% of Jen's monthly phone bills are between $49 and $103.
To answer this question, we need to understand the properties of the normal distribution. For a normally distributed variable with a mean (μ) of $76 and a standard deviation (σ) of $9, we can use the Z-score formula:
[tex]Z = \frac{(X - \mu)}{\sigma}[/tex]
We now convert $49 and $103 to Z-scores:
For $49:
[tex]Z = \frac{(49 - 76)}{9} = -3[/tex]
2. For $103:
[tex]Z = \frac{(103 - 76)}{9} = 3[/tex]
Next, we use the Z-table to find the probabilities corresponding to these Z-scores:
For Z = -3, the probability is 0.0013 (or 0.13%)
For Z = 3, the probability is 0.9987 (or 99.87%)
To find the percentage of phone bills between $49 and $103, we subtract these values:
[tex]P(49 < X < 103) = 0.9987 - 0.0013 = 0.9974[/tex]
Finally, converting this to a percentage, we get:
[tex]0.9974 \times 100\% = 99.74\%[/tex]
Therefore, 99.74% of Jen's monthly phone bills are between $49 and $103.
Simplify (-2n - 7n4 + 7n3) - (-2n4 - 6n3 + 6n)
The simplification of the given algebraic expression is -8n -5n^4 + 13n^3 by combining like terms.
Explanation:The simplification of (-2n - 7n4 + 7n3) - (-2n4 - 6n3 + 6n) involves combining like terms and subtraction. First, change the signs of each term in the second parentheses due to the negative sign in front of the parentheses. This becomes: -2n - 7n4 + 7n3 + 2n4 + 6n3 - 6n. Now, combine like terms to simplify: (-2n - 6n) + (-7n4 + 2n4) + (7n3 + 6n3). The final answer is -8n -5n4 + 13n3.
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What is 1507 million in standard form?
Answer:
1,507,000,000
Step-by-step explanation:
We are asked to write 1507 million in standard form.
We know that 1 million equals 1,000,000.
To convert 1507 million in standard form, we will multiply 1507 by 1,000,000 as shown below:
[tex]\text{1507 million in standard form}=1507\times 1,000,000[/tex]
[tex]\text{1507 million in standard form}=1,507,000,000[/tex]
Therefore, 1507 million in standard form would be 1,507,000,000.
Storage rack hold 22 DVDs for 21$ how much would it cost to hold 127
Circle K has a diameter of 24 inches. Find the exact length of semicircle HJI. In your final answer, include all of your calculations.
Answer:
12 π inches
Step-by-step explanation:
1) Since semicircles = 180 degrees, semicircle HJI = 180 degrees.
2) Make a ratio: 180/360. Simplify it: 1/2.
3) Then do: 1/2 x π d --> 1/2 x π 24. You should get: 12 π.
4) So, the exact length of semicircle HJI = 12 π inches.
(The reason you are supposed to leave it 12 π centimeters is because only if the question asks you to find the approximate length of the arc, then you can use 3.14 instead of π. But if the question asks you to find the exact length of the arc, you have to leave it as said above because you would still have to round the answer (if you multiply 12 by pi), which makes it an approximate answer, not an exact answer.)
pi (π) = 3.14159265359......................
Pi is an endless number.
Hope this helps! :)
write the multiplier or divisor for each pair of equivalent fractions 1/4 = 7/28
How do I do this? Due tomorrow please help
The picture is the answer i forgot it last time
Rita and Tina each make $11 an hour working as cashiers at a supermarket. Last week, Rita worked r hours while Tina worked t hours. Rita also worked overtime hours during the week, for which she was paid an extra $32 flat wage. Which expressions represent the total weekly wages of both Rita and Tina? Rita and Tina's total weekly wages can be represented as 11(r)(t) + 32 (11r + 32) + 11t (11t + 32r) + 11r , 11(r + t) + 32 11(r + t) + 32r 11(rt) + 32 , or 11r + 11t + 32 11rt + 32 11r + 32t + 11
3(20-b)=36
I need help on this question!!
88,999 Round to the nearest ten thousand
You have to get the R by itself
What do you do to check whether a number is rational or irrational? In your explanation, use an example of an irrational and rational number.
Can someone check my answer, please? I would deeply appreciate it.
"Rational numbers are numbers that can be written in fraction form. The numbers are all integers. Irrational numbers are numbers that cannot be written as a fraction. They are non-repeating and nonterminating decimals. For example 6.12385546972578945213666479952145412639854845256987452874526874125874........ Is an irrational number. And 1/6, 2,9, and 3/4 are all rational numbers."
If the absolute value of a nonzero real number is equal to the opposite of the number, the number is __________.
positive
negative
zero
irrational
(5ab-4a-6)-(4ab-1) find the sum please fast
We need to get rid of expression parentheses.
If there is a negative sign in front of it,
each term within the expression changes sign.
Otherwise, the expression remains unchanged.
Numerical 'like' terms will be added. There is only one group of like terms
the answer is: ab-4a-5
What does this mean
Petrolyn motor oil is a combination of natural oil and synthetic oil. It contains
4
liters of natural oil for every
5
liters of synthetic oil. If
296
liters of natural oil are used, how many liters of Petrolyn oil will be made?
Given: E is the midpoint of DF
Prove: 2DE = DF
Answer:
2DE = DF.
Hence Proved.
Step-by-step explanation:
Given : E is the midpoint of DF.
To Prove : 2DE = DF
Proof :
We have given a line DF .
D____________F.
Mid point = E
Mid point : It is that point that divide the line in to two equal parts .
D______E______F.
So, DE = EF.
We can say DE= [tex]\frac{1}{2}DF[/tex].
On multiplying both sides by 2.
2DE = DF.
Hence Proved.
Therefore, 2DE = DF.
Hence Proved.
Which of the following is not true regarding sets of numbers?
A-All rational numbers are integers.
B-All whole numbers are rational numbers.
C-All irrational numbers are real numbers.
D-All integers are rational numbers.
Answer:
A:All rational numbers are integers
Step-by-step explanation:
We are given that a set of numbers
We have to find not true statement about the regarding set of numbers
We know that all integers are rational number but all rational number .
are not integers.
All whole numbers are rational number but all rational number are not whole numbers.
All irrational numbers are real numbers but all real numbers are not irrational numbers.
Hence, option A is true.
Answer:All rational numbers are integers.
Matt paid 55$ at a restaurant. the amount included a 10% tip. What was the check amount before the tip?
A snowmobile traveled 32 miles in 2 1/3 hours. The distance is the product of the rate and the time. To the nearest tenth, what was the average speed of the snowmobile? Enter your answer in the box.
divide 32 miles by 2 1/3 hours
32/2.33333 = 13.7143
to nearest tenth = 13.7 miles per hour
Answer: [tex]13.7\text{ miles per hour}[/tex].
Step-by-step explanation:
Given : A snowmobile traveled 32 miles in [tex]2\dfrac{1}{3}[/tex] hours i.e.[tex]\dfrac{7}{3}[/tex] hours.
The distance is the product of the rate and the time.
i.e. The formula we use to find the average speed is given by :-
[tex]\text{Average Speed}=\dfrac{\text{Distance}}{\text{Time}}\\\\\Rightarrow\ \text{Average Speed}=\dfrac{32}{\dfrac{7}{3}}=\dfrac{32\times3}{7}=13.7142857143\approx13.7\text{ miles per hour}[/tex]
Hence, the average speed of the snowmobile was [tex]13.7\text{ miles per hour}[/tex].
Which reason supports the true statement that angle1 and angle8 are supplementary?
m || n with
transversal t
paige deposited $490.28 in a savings account that earns 3.7% simple interest. what is paige’s account balance after eleven years