In 1996, Town M had a population of 30,500 people, and it has grown at a rate of 2% every year. In 1996, Town N had 32,500 people and the population has increased by a contrast rate of 600 people each year. In what year were the populations of the two towns approximately equal?
Answers
30500*(1.02)^x= 32500 + 600x The easiest way to handle this is either to use a spreadsheet or graph if. I don't see an algebraic way of doing it. I'll try the graph first.
The red line is y = 32500 + 600x
Now let's try a spreadsheet.
I can't copy and past a spreadsheet's contents, but it shows that they are about equal when x = 17.
y = 32500 + 600x gives 42700 when x = 17
y = 30500*(1.02)^17 gives 42707 when x = 17 You cannot get much closer than that.
Related Questions
In a certain state, license plates consist of three letters followed by three numbers.
a. how many
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If there are no repeats then the answer is 11,232,000
i think this is correct im srry if it is not
me n my dad share the cost of a meal the ratio of 2:3 i payed £52.20 whats the total cost of the meal
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52.20 / 2 = 26.1
26.1 * 3 = 78.30 ( amount dad pays)
total = 78.30 + 52.20 = 130.50
reuben deposits $700 into an account that pays simple interest at a rate of 5% per year. How much interest will he be paid in the first 3 years?
Answers
I=PRT
P=$700
R=0.05
T=3 years
thus
I=700×0.05×3=$105
At Pizza Pi, 9% of the pizzas made last week had broccoli on them. If 27 pizzas had broccoli, on how many pizzas in all were made last week?
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Given Information
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9% of pizza made had broccoli
27 pizza had broccoli
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Equation the information and find 1%
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9% = 27
1% = 27 ÷ 9
1% = 3
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Find 100%
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1% = 3
100% = 3 x 100
100% = 300 pizzas
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Answer: There were 300 pizzas made last week
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which term best describes the statement given below?
if a = b and b = c then a= c
Answers
Answer:
Syllogism law
Step-by-step explanation:
Given:
a ⇒ b, and b ⇒ c, then a ⇒ c
This is a transitive property and it is also called syllogism law.
For example,
if it rains (a), then the cricket field will be wet (b), this means a ⇒b
If the cricket field wet(b), then the game will be cancelled(c), this means b ⇒c
if it rains (a), then the game will be cancelled(c), this means a ⇒ c
So it is a valid conclusion. This is called syllogism law.
look i know its easy to u but can you help me with this one
Answers
I find it hard to tell what the question is asking you to do. Are you supposed to start with 14(T-shirt +socks) and expand that to 14*T-shirt +14*socks, or the other way around? Since I find it easier to do one multiplication, I chose the above approach.
What is the principal if the amount is $1056,the time is 4 years,and the rate is 8%?
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.. I = Prt
.. 1056 = P*.08*4 . . . . . . . . substitute the given values
.. 1056/0.32 = P = 3300 . . divide by the coefficient of P and evaluate
The principal is $3300.
The principal amount is calculated using the formula for simple interest. By rearranging the formula and inputting the given values for the amount, time, and interest rate, the principal is determined to be $800.
To find the principal if the amount is $1056, the time is 4 years, and the rate is 8%, we can use the formula for simple interest which is:
Amount = Principal + (Principal × Rate × Time)
Rewriting the formula to solve for principal (P), we get:
Principal = Amount ÷ (1 + Rate × Time)
Substituting the given values:
Principal = $1056 ÷ (1 + 0.08 × 4)
Principal = $1056 ÷ (1 + 0.32)
Principal = $1056 ÷ 1.32
Principal = $800
Therefore, the principal is $800.
if m 6 =50 then find m 11
Answers
The question about finding the value of m 11 based on m 6 cannot be answered with the information provided. Additional context or a specific formula is needed to make a calculation.
Explanation:It appears that there might be a misunderstanding in the question, as the provided information is not sufficient to determine the value of m 11 based on the value of m 6. The references provided deal with various scientific and mathematical concepts that do not seem directly related to one another and therefore do not give a clear method for calculating m 11 from m 6.
Additional context or information such as a specific formula, sequence, or relationship between m 6 and m 11 would be necessary to provide an accurate answer. Without this information, it's not possible to calculate m 11.
A square hamburger is centered on a circular bun. Both the bun and the burger have an area of 16 square inches. How far, to the nearest hundredth of an inch does each corner of the burger stick out from the bun? Explain.
Answers
.. 16 in^2 = πr^2
.. r = (4 in)/√π ≈ 2.25676 in
The distance from the corner to the center of the square hamburger is
.. d = 4 in/√2 = 2√2 in ≈ 2.82843 in
The burger will stick out
.. (2.82843 -2.25676) in ≈ 0.57 in
The Voyager 2 space probe took 2 years to make its closest approach to Jupiter. How many months did it take Voyager 2 to reach Jupiter? (1 year = 12 months)
Answers
2 YEARS=24 MONTHS
if f(x)=2x and g(x)=x^2-1 which statement is true?
A. (f*g)(x)=2x^2 -1
B.(f*g)(x)=2x(x^2-1)
C.(g*f)(x)=4x-1
D.(g*f)(x)=4x^2-1
Answers
We have then:
f (x) = 2x
g (x) = x ^ 2-1
Multiplying we have:
(f * g) (x) = (2x) * (x ^ 2-1)
Answer:
The following statement is correct:
B. (f * g) (x) = 2x (x ^ 2-1)
The status of a statement is either true or false geometry
Answers
Any given statement can also be "truth value unknown", or "nonsense", among other things.
On a trip, you had to change your money from dollars to British pounds. You got 560560 pounds for 800800 dollars. How many pounds will you get for 300300 dollars?
Answers
800,800÷300,300= 2.66666.... (recurring)
If $300,300 goes into $800,800 2.66666 times, then the amount of pounds you want to find goes into £560,560 2.66666 times as well. Let's write this as an equation to solve for x (where x is the amount of pounds you will obtain for $560,560):
2.66666x = 560,560
Divide both sides by 2.66666
x = 210,210
Therefore, you will get £210,210 for $300,000
Lucy is making a smoothie by following the recipe below
Answers
Ron needs paper for his class project. He buys 5 packs of paper and uses all but 3 pieces. If p stands for the amount of paper per pack, which expression can he use to find out the number of papers that he used?
Answers
1 pack = p pieces of paper
5 packs = 5p pieces of paper (multiply both sides by 5)
Ron uses 5 packs, so there are 5p pieces of paper total. He uses all but 3 pieces, meaning that he uses 5p-3 pieces of paper. So that's why 5p-3 is the answer
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Here's a more concrete example
Let's say p = 10. In other words, let's say there are 10 pieces of paper per pack.
If that's the case, then 5 packs yield 5*10 = 50 sheets total. This is the same as saying 5p = 5*10 = 50. All I've done is replace p with 10. The letter p is simply a placeholder.
If he uses all but three sheets of paper, then Ron uses 47 sheets since 50-3 = 47. A more longer way to see this is to plug p = 10 into the expression 5p-3 and we get
5p - 3 = 5*10-3 = 50 - 3 = 47
which helps us confirm we have the right expression. I recommend you try other values of p to generate more examples. Make sure p is a whole number and that it is a positive number.
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Once again the answer is 5p-3
A carnival game has 160 rubber ducks floating in a pool. The person playing the game takes out one duck and looks at it.
If there’s a red mark on the bottom of the duck, the person wins a small prize.
If there’s a blue mark on the bottom of the duck, the person wins a large prize.
Many ducks do not have a mark.
After 50 people have played the game, only 3 of them have won a small prize, and none of them have won a large prize.
Estimate the number of the 160 ducks that you think have red marks on the bottom. Then estimate the number of ducks you think have blue marks. Explain your reasoning. Show all work!
Answers
ωωωωωωωωωωωωωω
Answer:
17
Step-by-step explanation:
If 1 mile equal to 1.61 kilometers, how many kilometers are there in 50 miles
Answers
50m-x
There 50 x 1.61
80.5 km
the movie theater is twice as far from the school as the mall. if the movie theater is to the right of the school, at which location is the movie theater ?
Answers
Find the general solution of the given second-order differential equation. 25y'' − 15y' − 4y = 0
Answers
Final answer:
To solve the second-order differential equation 25y'' - 15y' - 4y = 0, we find the characteristic equation and its roots, then express the general solution as a linear combination of terms with the found roots as exponents, resulting in [tex]y(t) = C_1e^{-t/5} + C_2e^{4t/5}.[/tex]
Explanation:
We are given a second-order differential equation with constant coefficients: 25y'' − 15y' − 4y = 0. First, we will look for a characteristic equation that arises from this differential equation to find the general solution.
To find the characteristic equation, we substitute [tex]y = e^{rt}[/tex] (where r is a constant) into our differential equation, replacing y'' with [tex]r^2e^{rt}[/tex], y' with [tex]re^{rt}[/tex], and y with [tex]e^{rt}[/tex]. The equation becomes 25r² − 15r − 4 = 0.
Solving for r, we find the roots of the characteristic equation, which are the values of r that satisfy the equation.
Once we have the roots, which we'll call r₁ and r₂, the general solution to the differential equation is [tex]y = C_1e^{r_1t} + C_2e^{r_2t}[/tex], where C₁ and C₂ are arbitrary constants determined by initial conditions.
To find r₁ and r₂, we factor the characteristic equation:
25r² − 15r − 4 = (5r + 1)(5r - 4) = 0. Hence, r₁ = -1/5 and r₂ = 4/5.
Finally, the general solution to the differential equation is [tex]y(t) = C_1e^{-t/5} + C_2e^{4t/5}.[/tex]
For what values of m does the graph of y=mx^2-5x-2 have no x-intercepts
Answers
according the condition the graph mx²-5x-2 have no x-interception.
It means that D<0:
D=25+2*4*m=25+8m<0; ⇒ 8m+25<0; ⇔ m<-25/8; ⇔ m<-3.125.
answer: m∈(-oo;-3.125).
What is m? 128° 173° 192° 256°
173 is the answer
Answers
but i guess you already said that
so I'm just conferming it ig
The main span of Bridge A (2300 feet) is _____ percent shorter than the main span of Bridge B (4700 feet).
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To do this you divide the difference in lengths by the starting length. We start with the main bridge.
4700-2300=2400
2400/4700 is about 51.1% shorter.
The main span of bridge A is 51.1% shorter than the main span of bridge B.
Span of bridge A = 2300 feets
Span of bridge B = 4700 feets
Percentage difference in span length :
[(difference in span) / span of B] × 100%
Difference in span = 4700 - 2300 = 2400
Percentage difference = (2400 ÷ 4700) × 100%
Percentage difference = 0.5106 × 100% = 51.1%
Therefore, the main span of bridge A is 51.1% shorter than the main span of bridge B.
Learn more :https://brainly.com/question/13218948
The cover of a jacuzzi is a regular pentagon. If the side measures 2.5 feet and the apothem is 1.7 feet, find the area of the lid used to cover the Jacuzzi
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[area of a regular pentagon]=5 *[Area of triangle with side 2.5 ft and height (apothem) 1.7 ft]
[area of a regular pentagon]=5 *[2.5*1.7/2]-------------> 5*[2.125]-----> 10.625 ft²
the answer is 10.625 ft²
this math problem is hard
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It is the only one that makes sense
find the missing number 1.2 equals 3. what
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x= unknown number
1.2 * x= 3
1.2x= 3
divide both sides by 1.2
x= 3/1.2
x= 2.5
Hope this helps! :)
Gerald graphs the function f(x) = (x – 3)2 – 1. Which statements are true about the graph? Check all that apply. The domain is {x| x ≥ 3}. The range is {y| y ≥ –1}. The function decreases over the interval (–∞, 3). The function increases over the interval (–1, ∞). The axis of symmetry is x = –1. The vertex is (3, –1).
Answers
Statement 2 is true.
Statement 3 is true because when we graph f, it is a parabola opening upwards with vertex (3, -1). Since it is opening upward, then the value of x from -∞ to 3 is decreasing while increasing from 3 to ∞.
Statement 4 is false because we just stated above that f is decreasing from -∞ to 3. Hence, f is also decreasing from -1 to 3. Hence, f is not increasing from -1 to ∞.
Statement 5 is false because the axis of symmetry is x = 3.
Statement 6 is true.
Hope this helps! :)
Answer:
2,3,6 are true on edg
Step-by-step explanation:
According to these three facts, which statements are true?
Circle W has center (−3, 0) and radius 8.
Circle V is a translation of circle W, 2 units down.
Circle V is a dilation of circle W with a scale factor of 2.
Select each correct answer. (You can choose more than one).
A. Circle V and circle W are similar.
B. Circle V and circle W have the same center.
C. The radius of circle V is 16.
D. The center of circle V is (−5, 0).
Answers
1)Circle W has center (−3, 0) and radius 8
the equation of a circle W is
(x+3)²+(y)²=8²
2)Circle V is a translation of circle W, 2 units down.
the center of circle V--------> (-3,0-2)---------> (-3,-2)
3)Circle V is a dilation of circle W with a scale factor of 2.
then the radius circle V is 8*2------> 16 units
the equation of a circle V is
(x+3)²+(y+2)²=16²
therefore
case A. Circle V and circle W are similar.---------> is correct
because I can transform circle V to circle W using only translations, rotations and scaling (In the case of circles, no rotations are necessary).
case B. Circle V and circle W have the same center.-------> is not correct
case C. The radius of circle V is 16.-----------> is correct
case D. The center of circle V is (−5, 0).----------> is not correct
the answer is
case A. Circle V and circle W are similar.---------> is correct
case C. The radius of circle V is 16.-----------> is correct
Circle V and Circle W are similar and the radius of Circle V is 16; however, Circle V and Circle W do not have the same center, and the center of Circle V is not (-5, 0), but rather (-3, -2).
Given the information that Circle W has center (-3, 0) and radius 8, and Circle V is a translation of Circle W 2 units down and a dilation with a scale factor of 2, the following statements can be evaluated:
Circle V and Circle W are similar: This statement is true. Both circles maintain their shape after a translation and dilation.Circle V and Circle W have the same center: This statement is false. Translation moves the center of Circle V 2 units down, changing its coordinates.The radius of Circle V is 16: This statement is true. The radius is doubled through the dilation process.The center of Circle V is (-5, 0): This statement is false. The correct center after translation would be (-3, -2).(I will give the brainliest! Please answer quickly)
Leia cuts congruent triangular patches with an area of 21 square centimeters from a rectangular piece of fabric that is 14 centimeters long and 6 centimeters wide. How many of the patches can Leia cut from 31 pieces of the fabric?
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if 30% of the students in Miss World was class like chocolate ice cream then how many students are in her class if 6 students like chocolate ice cream
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How many triangles can be constructed with angles measuring 80 degrees 80 degrees and 40 degrees
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The sum of these angles is 200°. The sum of angles in a triangle must be 180°. These angles cannot be used to form a triangle.
Answer:
None
Step-by-step explanation:
The angles inside a triangle add to 180. If the angles are 80, 80 and 40, then they must add to 180 to form a triangle.
80+80+40 = 200
This can't be a triangle.