Use an annual growth rate of 1.6% in a 40 year period for a certain population to find the approximate doubling time and then predict the population in 2050, based on a 2000 population of 6.0 billion. What is the approximate doubling time? What will be the approximate population in 2050?
Answer:
- the approximate doubling time is 43.3216 ≈ 43
- the approximate population in 2050 is 13.353 billions
Step-by-step explanation:
Given that;
growth rate r = 1.6% = 0.016
so,
Doubling time = In2 / 0.016 = 43.3216
Hence, the approximate doubling time is 43.3216 ≈ 43
Population in 2050;
t = 2050 - 2000 = 50
po = 6 billion
r = 0.016
so
p = po\(e^{rt}\)
we substitute
p = 6\(e^{0.016*50}\)
p = 6\(e^{0.8}\)
p = 6( 2.2255 )
p = 13.353 billions
Therefore, the approximate population in 2050 is 13.353 billions
Can someone help please
ASAP
Answer:
see explanation
Step-by-step explanation:
using the tangent ratio in the right triangle
tan A = \(\frac{opposite}{adjacent}\) = \(\frac{BC}{AB}\) = \(\frac{5}{11}\) , then
∠ A = \(tan^{-1}\) ( \(\frac{5}{11}\) ) ≈ 24.4° ( to 1 decimal place )
tan C = \(\frac{opposite}{adjacent}\) = \(\frac{AB}{BC}\) = \(\frac{11}{5}\) , then
∠ C = \(tan^{-1}\) ( \(\frac{11}{5}\) ) ≈ 65.6° ( to 1 decimal place )
using Pythagoras' identity in the right triangle
the square on the hypotenuse is equal to the sum of the squares on the other two sides, that is
AC² = AB² + BC² = 11² + 5² = 121 + 25 = 146 ( take square root of both sides )
AC = \(\sqrt{146}\) ≈ 12.08 ( to 2 decimal places )
Consider the following story:
Three men walk into a hotel and ask to share a room. The cost is going to be $270 for
the night. Each man puts in a $100 bill and they get 3 $10 bills in change. The bell boy
carries their luggage and they each decide to be generous and tip the bell boy their change.
The front desk realizes they miss-charged the men, so the bell boy takes a $20 bill change to
the room. The men realize that you can’t split the $20 bill evenly 3 ways so they add it onto
the tip. The bell boy is happy but then thinks to himself: ”If the room is $270 and they had
this extra $20 that’s only $290, where did the other $10 go?”
Explain what is wrong with the Bell Boy’s thoughts, and what is the correct math here.
Answer:
Step-by-step explanation:
The bell boy added $270 and $20 incorrectly. The $20 bill was something that was returned due to overcharching. On the other hand, $270 was the amount that they paid for their room. This only means that $20 should be deducted from $270 and that's the amount that they paid for their room while $30 and $20 are the amount that the bell boy received as a tip
Total money of the three men: 3($100) = $300
They paid $270 for the room: $300 - $270 = $30
Tip for the bell boy: $30 - $30 = $0
Amount overcharged to them: $0 + $20 = $20
Tip to the bell boy: $20 - $20 = $0
They were left with no more money from the original $300.
URGENT HELP NEEDED
Estimate the measure of ∠LMN to the nearest 10
.
Answer:
100 degrees
Step-by-step explanation:
please like and mark brainliest answer
Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar(s).
Vlewer's Age Group
Excellent
Good
Average
Poor
Marginal Total
16-25
52
113
42
12
7
26-35
33
97
50
5
9
36-45
58
12
28
34
132
46-55
25
17
22
12
76
56+
12
5
3
8
28
Marginal Total
180
126
70
70
446
Note: A rating of good or excellent means the audience liked the movie, while a rating of poor means the audience disliked
the movie.
A movie producer conducted a survey after a preview screening of her new movie to find out how the film would be received by viewers from
different age groups. The table shows the numbers of viewers in different age groups who rated the film excellent, good, average, and poor.
%. Write your
Out of the total respondents, the percentage of respondents from the 46-55 age group who rated the film excellent is
answer up to two decimal places.
Reset
Next
What is the solution?
\(\lim_{x\to 0} \frac{x + 2}{ x -2}\)
Math please
Answer:
\( - 1\)
Step-by-step explanation:
\(\lim_{x\to 0} \frac{x + 2}{ x -2}\)
\( = \frac{0 + 2}{ 0 -2}\)
\( = \frac{2}{-2}\)
\( = - 1\)
Answer:
- 1
Ok? Understand?
........
Poppy gets semi-monthly paycheck of $2,375. What is her annual income?
Answer:
57,000
Step-by-step explanation:
whats the scientific notation of 24,010.
Answer:
2.401 x 10\(^{4}\)
Step-by-step explanation:
24,010 (twenty-four thousand ten) is an even five-digits composite number following 24009 and preceding 24011. In scientific notation, it is written as 2.401 × 104.
N
50°
AOMN~ ARPQ
Find 0.
M
Ө
0 = [?]°
<
P
70°
R
Answer:
60°
Step-by-step explanation:
In similar triangles, the corresponding angles are congruent.
∠O = R
O = 70°
In ΔOMN,
∠O + ∠M + ∠N = 180 {Angle sum property of triangle}
70 + 50 + Ф = 180
120 + Ф = 180
Subtract 120 from both sides,
Ф = 180 - 120
Ф = 60°
the perimeter of a triangle is 32 feet. One side of the triangle is 11 feet longer than the second side. The third side is 9 feet longer than the second side. Find the length of each side.
Answer:
One side - 15 feet
Second side - 4 feet
Third side - 13 feet
Step-by-step explanation:
Let's call the sides A B and C, respectively.
We know that:
A = B + 11
C = B + 9
and that
A + B + C = 32
Please note that we have 3 equations and 3 unknowns. We can solve this, we'll use substitution.
A + B + C = (B + 11) + B + (B + 9) = 32
3B + 20 = 32
3B = 12
B = 4
The sides have lengths of 4+11 = 15, 4 and 4+9 = 13. This is in fact a proper triangle (because the shorter sides add up to more than the longer side).
Two different students decide to compare their businesses. Scooter makes his own t-shirts,
while Karissa does computer repairs. For both models, x represents the number of sales made
each month and f(x) represents total money for each individual. The two functions below model
their respective businesses:
Scooter: f(x) = 200 + 15x
Karissa: f(x) = 80 + 35x
a. Describe what the slope and y intercept represent for both models based on the context.
Compare the two functions. What is one statement you could say about each?
b.
C.
In one month, Scooter sells 20 shirts. That same month, Karissa does 12 repairs. Who had
the better month?
a) Comparing the two functions, Scooter's business has a lower slope of 15 compared to Karissa's business with a slope of 35. b) Both Scooter and Karissa earned a total of $500 in that month. Therefore, they had an equal month in terms of total money earned.
How to Describe what the slope and y intercept represent for both models based on the contexta) In the context of Scooter's business, the slope of the function f(x) = 200 + 15x represents the rate at which the total money earned increases with each additional sale. Each unit increase in x (number of sales) results in an increase of $15 in total money earned. The y-intercept of 200 represents the initial amount of money Scooter already had before making any sales.
In the context of Karissa's business, the slope of the function f(x) = 80 + 35x represents the rate at which the total money earned increases with each additional repair job. Each unit increase in x (number of repairs) results in an increase of $35 in total money earned. The y-intercept of 80 represents the initial amount of money Karissa already had before doing any repair jobs.
Comparing the two functions, Scooter's business has a lower slope of 15 compared to Karissa's business with a slope of 35. This means that Karissa's business earns more money per repair job compared to Scooter's business per t-shirt sale.
b) To determine who had the better month, we need to calculate the total money earned by each individual based on the given sales/repairs.
For Scooter, with x = 20 (number of shirts sold):
f(x) = 200 + 15x
f(20) = 200 + 15 * 20
f(20) = 200 + 300
f(20) = 500
For Karissa, with x = 12 (number of repairs):
f(x) = 80 + 35x
f(12) = 80 + 35 * 12
f(12) = 80 + 420
f(12) = 500
Both Scooter and Karissa earned a total of $500 in that month. Therefore, they had an equal month in terms of total money earned.
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Explain how to find 20% of 160
Answer: 20% of 160 is 32.
Step-by-step explanation:
The percentage is from the word percent which means one part in a hundred. It is a part of the base or the whole determined by the rate. Usually, the percentage is smaller than the base. However, there are also cases where the percentage is greater than the base. This happens when the percent is greater than 100%.
To find the percentage, you have to multiply the base and the rate. The base is the 100% or original amount or the whole while the rate is the ratio of the percentage to the base and it has the percent sign (%). Remember that you have to convert the rate to a decimal number by moving the decimal point twice to the left.
Let us now find the 20% of 160.
20% = 0.2
percentage = 160 × 0.2
= 32
24. Which description describes the solutions to this inequality?
9> 52
A. all the possible numbers that are smaller than twenty-five
B. all the positive numbers that are greater than ten
C. all the positive numbers that are larger than twenty-five
D. all the possible numbers that are smaller than ten
Convert 3 1/2 into an improper fraction
Answer:
7/2
Step-by-step explanation:
To convert a mixed number like 3 1/2 into an improper fraction, you can multiply the whole number (3) by the denominator of the fraction (2), and then add the numerator of the fraction (1). This gives:
3 x 2 + 1 = 7
So 3 1/2 is equivalent to the improper fraction 7/2.
3 1/2 can be converted to an improper fraction by multiplying the whole number by the denominator and adding it to the numerator. The resulting number is the new numerator, with the original denominator still the same. Hence, 3 1/2 is 7/2 when converted to an improper fraction.
Explanation:To convert a mixed number into an improper fraction, you first multiply the whole number (which is 3 in this case) by the denominator of the fraction (which is 2) and then add that result to the numerator of the fraction (which is 1). The resulting number will be your new numerator for the improper fraction with the denominator being the same as in the original fraction.
So let's do that:
First, multiply 3 (the whole number part) by 2 (the denominator of the fraction) to get 6.Then, add 6 to the 1 (the numerator of the fraction), getting 7.
So, the improper fraction for 3 1/2 is 7/2.
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749/d * d/749 = 1
d=?
Answer:
D=1
Step-by-step explanation:
1. Combine multiplied terms into a single fraction
2. Cancel terms that are in both numerator and denominator
3. Divide by 1
Answer:
I honestly don't know but I think its all real numbers but not zero
Step-by-step explanation:
find the measure of such angle whose supplementary angle is 35 degree more than twice of its complementary angle
The required angle is 35 degrees whose supplementary angle is 35 degrees more than twice its complementary angle.
What is the supplementary angle?The definition of a supplementary angle is that it adds up to 180 degrees.
Let's represent the required angle as "x".
We know that the supplementary angle to "x" is 180 - "x".
Similarly, the definition of a complementary angle is that it adds up to 90 degrees, so we know that the complementary angle to "x" is 90 - "x".
Given that the supplementary angle to "x" is 35 degrees more than twice its complementary angle, so we can write this as an equation:
180 - x = 2(90 - x) + 35
Simplifying this equation, we get:
180 - x = 180 - 2x + 35
Adding x to both sides, we get:
x = 35
Therefore, the required angle is 35 degrees.
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4. Saul wants to cash a check for $715 at his bank. He has
$436 in his bank account. How much more money will
he need in his bank account to cash the check?
Answer:
he needs $279
Step-by-step explanation:
715-436= 279
Express 0.00212 in scientific notation.
Answer:
2.12×10-³
Step-by-step explanation:
how?
count all the zeros that u have in this problem u have 3 zeros
What is the length of AC?
3 ft
4 ft
N
4 ft
M
ОООО
9 ft
9 ft
18 ft
С
Answer:
the answer is 18 feet because that line in the middle of the triangle is half the size of AC
The larger I grow, the less you can see!
What am I??
Answer: The darkness is the correct answer
Step-by-step explanation:
As you know that if the darkness becomes bigger you are unable to see it. Hope you like the answer do let me know in the about your thoughts.
The number of chaperones at a school field trip must be the
number of students attending, plus the 2 teacher sponsors. Write
a rule for the number of chaperones that must be on the trip.
Write ordered pairs to represent the number of chaperones that
must attend the trip when there are 120, 150, 200, and 210 students.
Answer:
(120,122), (150,152), (200,202), (210,212)
Step-by-step explanation:
just add two to the number of students
PLEASE HELP ON QUESTION ASAP! 30PTS!
I WILL ALSO GIVE YOU A THANKS RATE YOU FIVE STARS AND MAYBE EVEN BRAINLIEST any silly answeres will be reported / deleted
Hiba needs 40g sugar to make 15 biscuits. she also needs three times as much flour as sugar . Hiba is going to make 60 biscuits . work out the amount of flour she needs .
Please answer the question in the picture because it would paste correctly thanksss
Answer:
b
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
146 is equal to 12.08
12 3/4 is 12.75
12 5/8 is 12.63( I rounded it.Before it was 12.625)
Then you put it in order.
i don't understand how to do this.. can someone help, please
The possible values for angles 1, 2, and 3 given that lines a and b are parallel lines include the following:
m∠1 = 60°.m∠2 = 120°.m∠3 = 60°.What are parallel lines?In Mathematics and Geometry, parallel lines are two (2) lines that are always the same (equal) distance apart and never meet or intersect.
Note: Assuming angle 1 is equal to 60 degrees.
In Mathematics and Geometry, the vertical angles theorem states that two (2) opposite vertical angles that are formed whenever two (2) lines intersect each other are always congruent, which simply means being equal to each other:
m∠1 ≅ m∠3 = 60°.
Based on the linear pair postulate, the measure of angle 2 can be determined as follows;
m∠1 + m∠2 = 180°
60° + m∠2 = 180°
m∠2 = 180° - 60°
m∠2 = 120°
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If each personat.,
Thanksgiving eats of a
pound of turkey, and there
are 5 people at dinner, how
many pounds of turkey are
needed? Between what
[two whole numbers does
your answer lie?
Answer:
you need 5 pounds of turkey and my answer lies between 4 and 5
Step-by-step explanation:
this should be right
Step-by-step explanation:
5 people x 1 pound = 5 pound of turkey needed
and the number 5 lay between 4 and 6
A charity is considering the possibility of having a benefit night at two different restaurants. The owner of the local Italian restaurant has offered to make a donation of $462 and $1 per diner that night. On the other hand, the owner of the Mexican restaurant has said he could contribute $235 plus $2 per diner. Based on the number of diners who have promised to participate in the event, it appears that each restaurant would donate the same total amount. How many diners promised to participate? How much would each restaurant donate?
Let's assume that the number of diners at the Italian restaurant is "x" and the number of diners at the Mexican restaurant is "y". Then, we can write the following equations based on the given information:
Italian restaurant:
Donation = $462 + $1 per diner
Donation = $462 + $1x
Mexican restaurant:
Donation = $235 + $2 per diner
Donation = $235 + $2y
Since both restaurants will donate the same total amount, we can set their donations equal to each other:
$462 + $1x = $235 + $2y
Simplifying this equation, we get:
$2y - $1x = $227
We know that the number of diners has to be a whole number, so we can try different values of x and see which one gives us a whole number for y.
For example, if we try x = 200, then we can solve for y:
$2y - $1(200) = $227
$2y = $427
y = 213.5
Since y is not a whole number, we need to try a different value of x. If we try x = 250, then we get:
$2y - $1(250) = $227
$2y = $477
y = 238.5
Again, y is not a whole number, so we try another value of x. If we try x = 300, then we get:
$2y - $1(300) = $227
$2y = $527
y = 263.5
Still not a whole number, so we try x = 350:
$2y - $1(350) = $227
$2y = $577
y = 288.5
Finally, we get a whole number for y, so we have our solution:
Italian restaurant: x = 350 diners, donation = $812
Mexican restaurant: y = 289 diners, donation = $812
Therefore, 350 diners promised to participate and each restaurant would donate $812.
5/8 divided by 3/4?
Pls answer I’ll give u brainliest
Answer:0.833333333
Step-by-step explanation:
5/8 divided by 3/4 is just 5/8 x 4/3 which is 0.833333333
Divide: 5/8 : 3/4 = 5/8 · 4/3 = 5 · 4/8 · 3 = 20/24 = 4 · 5 /4 · 6 = 5/6
Dividing two fractions is the same as multiplying the first fraction by the reciprocal value of the second fraction. The first sub-step is to find the reciprocal (reverse the numerator and denominator, reciprocal of 3/
4 is 4/3) of the second fraction. Next, multiply the two numerators. Then, multiply the two denominators. In the next intermediate step , cancel by a common factor of 4 gives 5/6.
In words - five eighths divided by three quarters = five sixths.
The circumference of a circle is 15π in. What is the area, in square inches? Express your answer in terms of \piπ.
Answer:
the area would be 176.7
Step-by-step explanation:
You know the area of a circle is A = pi×r^2, so you need the radius.
You know C = 2pi×r, so r = C/(2pi)
r = 15pi / 2pi = 7.5
A = pi(7.5)^2 = 56.25pi ~ 176.715 square inches.
The area of the circle is about 176.7 square inches.
The radius of the circle is 7.5 inches. Therefore, the area of the circle will be 56.25π square inches.
What is the circumference and area of a circle?Let r be the radius of the circle. Then the area of the circle will be given as,
A = πr² square units
The circumference of the circle will be given as,
C = 2πr units
The circumference of a circle is 15π inches. Then the radius of the circle is calculated as,
15π = 2πr
r = 7.5 inches
The area of the circle is calculated as,
A = π x 7.5²
A = 56.25π square inches
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Please help I’m doing super bad
Answer:
Choice A: angle 6 and angle 7
Step-by-step explanation:
The meaning of adjacent angles is they are close to each other. That means they share a common point and share a common side.
Which expression is equivalent to (7h^2-7h+5)-(10h^2-3h+6)?
1. -3h²-4h-1
2. -3h²-10h+11
3. 17h²-4h-1
4. 17h²-10h+11
Answer:
\(-3h^{2} -4h-1\)
Step-by-step explanation:
Remove the parentheses and rewrite the expression as
\(7h^{2} -7h+5-10h^{2}+3h-6\)
Then we combine like terms
\((7h^{2} -10h^{2} )+(-7h+3h)+(5-6)\)
Simplify
\(-3h^{2} -4h-1\)