Answer:
27 years.
Step-by-step explanation:
2000->100%
?->3.5%
=70 people growth each year
3900-2000=1900[expected growth]
70-per year
1900-?
1900*1/70=27.1
=27.|1
27 years
It will take 9 years for the town's population to reach 3900.
What is an exponential function?"An exponential function is a function of form f (x) = a^(x), where a is the base."
Exponential growth function:f(x) = a×(1+r)^x
where,
f(x) = exponential growth function
a = initial amount
r = growth rate
x = number of time intervals
For given situation,
initial population: a = 2000,
growth rate r = 3.5/100
⇒ r = 0.035
f(x) = 3900
We need to find the nearest year to reach the population 3900.
i.e., to find value of x(years)
Using the exponential growth function,
⇒ 3900 = 2000(1 + 0.035)^x
⇒ 3900/2000 = (1.035)^x
⇒ 1.95 = (1,035)^x
⇒ [tex]x=log_{1.035} 1.95[/tex]
⇒ x = 19.41
⇒ x ≈ 19
Therefore, it will take 19 years to reach 3900.
Learn more about exponential growth here:
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Find the measure of angle b
Answer:
130°
Step-by-step explanation:
a straight line is 180°
so you have
180°-50°= 130°
When the full season tickets first went on sale,2,000 Full season tickets sold for Section N. Two weeks after the tickets first went on sale, another 1,500 full season tickets were sold for section N. How much money spent on full season tickets for section N in total? How much more money was spent when the tickets first went on sale than after the first two weeks.
Image showing the arena ticket prices is missing, so i have attached it.
Answer:
$10000 more money was spent when the tickets first went on sale than after the first 2 weeks
Step-by-step explanation:
We are told that when the full season tickets first went on sale, that 2000 full season tickets were sold for section N.
Now, from the area ticket prices table attached, we can see that full season tickets for Section N costs $20
Thus, amount of money spent when the tickets first went on sale = 2000 × 20 = $40000
We are told that 2 weeks after the tickets first went on sale, they sold 1500 tickets. Thus, amount spent after 2 weeks release = 1500 × 20 = $30000
Difference in amount spent at the beginning and after 2 weeks = $40000 - $30000 = $10000
Thus, $10000 more money was spent when the tickets first went on sale than after the first 2 weeks
NEED HELP ASAP PLEASE.
Step-by-step explanation:
true i think i think its true
A circular dining room table top has a radius of 22 inches. What is the
diameter of the table top?
What is the circumference of the table top? Write your answer using m.
Show your work.
can some one please help me i’m begging
Answer:
Step-by-step explanation:
for 2.2 you would still have 5^2 in brackets still
same kind of error for 2.1
Is the statement true or false? If false, give a counterexample.
For all real numbers a, b and c, a(b + c) = ab + bc.
A. true
B. false; a(b + c) = ab − ac
C. false; if a = b = c = 1, then 1(1 + 1) ≠ 1(1) + 1(1)
D. false; if a = 1, b = 2, and c = 3, then 1(2 + 3) ≠ 1(2) + 2(3)
Answer:
D. false; if a = 1, b = 2, and c = 3, then 1(2 + 3) ≠ 1(2) + 2(3)
Step-by-step explanation:
A is false, because the a is being distributed/ being multiplied to all terms inside the parenthesis, and not the term b.
B is also false. There is no indicated negative signs.
C is also false because 1(1 + 1) is EQUAL to 1(1) + 1(1)
D is true.
While creating your résumé, what should you do before making a final copy to fix any typos or errors?
Answer:
you could ask a friend or someone you are close to, to proof read it. You could also but it through Grammarly to find all errors that someone could just overlook.
{(−7, 2), (−2, 2), (0, 1), (4, 5)}
Answer:
domain={-7,-2,0,4} and range={2,1,5}
Step-by-step explanation:
A negatively charged balloon comes close to a positively charged cloth. What will happen
Answer:
It will attract and move towards each other
Answer: The balloon will be attracted to the cloth i hope this helps :D
Step-by-step explanation:
HEP I WILL GIVE BRAINLIEST!!!
Answer:
dot 3
Step-by-step explanation:
What is the value of X?
A.11
B.9
C.7
D.6
Answer:
x=6
Step-by-step explanation:
10x+21x-6=180 ( straight angle)
31x=180+6
x=186/31
x=6
Given that R = 3x + 9y
Find x when y = 6 and R=7
Give your answer as an improper fraction in its simplest form.
Answer:
Step-by-step explanation:
R = 3x + 9y
They told us that R = 7, y = 6
So you can rewrite the equation as:
R = 3x + 9y
7 = 3x + 9(6)
7 = 3x + 54
Subtract 54 from both sides.
7 - 54 = 3x
-47 = 3x
To find x, you need to divide both sides by 3
3x = -47
x = -47/3
I need help plz!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
Bruh.
Step-by-step explanation:
Someone help please?
Step-by-step explanation:
If the whole bar is equal to 320 and you are given the numbers and variables, what would the equation be? Well, the line above the bar AND the bar are equal to each other. This means that the ORIGINAL EQUATION WILL BE: 4x + 12x = 320 (this will be your first answer).
Because 12x and 4x are LIKE TERMS, you can simplify them by adding them together like so: 12x + 4x = 16x. Now you can say that 16x is equal to 320 (this is your second answer).
Divide both sides by 16 to get the true value of ONE x. Like so:
16x / 16 = 320 / 16
x = 20 (this is your third answer)
The speed of a body falling freely from rest in a vacuum varies directly with the length of the time it falls. If after 6 seconds, a body was falling 58.8 m/s, how fast was it falling 4 seconds later? (Round off your answer to the nearest meter per second.)
Answer:
The body is falling at 98 m/s after 4 seconds later.
Step-by-step explanation:
The magnitude of the speed of a body dropped from rest is:
[tex] v = gt [/tex]
So, if the speed of a body dropped after 6 seconds is 58.8 m/s, after 4 seconds later is:
[tex] v = gt = 9.81 m/s^{2}*(4s + 6s) = 98.1 m/s = 98 m/s [/tex]
Hence, the body is falling at 98 m/s after 4 seconds later.
I hope it helps you!
Classify the system of equations.
2x = 5 - y
-3+y = -2x + 3
Click on the correct answer.
coincident
intersecting
parallel
Answer:
Parallel
Step-by-step explanation:
An equilateral triangle has a side length of 16 cm work out the area of the triangle.
Give your answer rounded to 1 DP.
Answer:
110.9 cm²
Step-by-step explanation:
The area (A) of an equilateral triangle is calculated as
A = [tex]\frac{s^2\sqrt{3} }{4}[/tex] ( s is the side length )
Here s = 16, thus
A = [tex]\frac{16^2\sqrt{3} }{4}[/tex]
= [tex]\frac{256\sqrt{3} }{4}[/tex] = 64[tex]\sqrt{3}[/tex] ≈ 110.9 cm² ( to 1 dec. place )
What is the DOMAIN of the given relationship?
(-2, 4), (1, 0), (3, -1), (4, 4)
Someone answer ASAP plsss
Answer:
(-2,4)
Step-by-step explanation:
Because -2 is the x minimum and 4 is the x maximum :)
Which function is a horizontal translation of the parent quadratic function, f(x) = x2
O A. ;(z) = x2 - 4
B. g(x) = (x - 4)
C. k(x) = -42
D. h(x) = 4,2
The function that represents the horizontal translation of the parent function is (b)g(x) = (x - 4)^2
How to determine the horizontal translation?The function is given as:
f(x) = x^2
An horizontal translation is represented using:
f'(x) = (x ± h)^2
Where h does not equal to 0
From the list of options. we have:
g(x) = (x - 4)^2
Hence, a function that represents the horizontal translation of the parent function is (b)g(x) = (x - 4)^2
Read more about translation at:
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four times the difference of a number and 71
is 32
please mark brainlist
Step-by-step explanation:
let the number be x
4(x-71) = 32
4x - 284 = 32
4x = 316
x = 79
You can ignore a and b but can someone help me with c and d plz :)
Answer:
(below)
Step-by-step explanation:
c) the angles are in the interior on the same side of the transversal, making them supplementary
equation: 2x + 20 + 120=180 and then when solved you would get x =20
d) the angles are corresponding, which makes them congruent
equation: 3x + 10 = 100 and then when solved you would get x = 30
Round the factors and estimate the products.
a.
656 x 106 -
น
b. 3,108 x 7,942 -
C.
425 x 9,311 -
what is this i wanna drop out
Answer:
a. 70,000
b. 24,000,000
c. 3,600,000
Step-by-step explanation:
You round all the numbers and multiply the rounded numbers.
So...
a. 656 = 700
106 = 100
7000*100= 70,000
b. 3108 = 3000
7942 = 8000
3000*8000= 24,000,000
c. 425 = 400
9311 = 9000
400*9000= 3,600,000
If the question is how many variable terms are in 3x^3y + 5x7 - 4y + x-z+9 the answer would be 7 because each of the variables are separated by the + and - signs and if you count them like that right now you would get 5 and if you add the 3 from the beginning you would get 7 saying that the variable terms are represented by the letters am I correct.
Given:
The expression is
[tex]3x^3y+5x^7-4y+x-z+9[/tex]
To find:
The number of variable terms.
Solution:
Constant values, variables, product of constants and variables are known as terms if they are separated by "+" sign.
The terms which contain atleast one variable is called variable terms.
We have,
[tex]3x^3y+5x^7-4y+x-z+9[/tex]
Here, the terms are [tex]3x^3y,5x^7,-4y,x,-z[/tex] and 9.
All terms contain variables except 9 which is a constant.
Therefore, the number of variable terms is 5.
Hence, your answer was not correct.
when y= 1.5x, if x= 6, what is y?
ANSWER IS 9
Explanation; mulitply 1.5 with 6
Answer:
9 is the answer I believe
Step-by-step explanation:
multiply 1.5 by 6.
Find the area of a circle with radius,
r = 5.68m.
Give your answer rounded to 2 DP.
Answer:
101.35
Step-by-step explanation:
pir^2
pi5.68^2
32.2624
pi(32.2624)
about 101.355
The diagram of a living room is shown below. What fraction of the living room is covered by the rug? need done ASAP
Answer:
[tex] \frac{10}{27} [/tex]
x2 + 10x + 25 = 0
Solve each equation by factoring
Answer:
x=-5
Step-by-step explanation:
This is a perfect square
(x+5)^2=0
x+5=0
x=-5
Graph x>-6 on a coordinate plane.
Identify the coordinate of the point shown on the number line. A number line from negative 30 to 10. Major tick marks are on every ten numbers and minor tick marks are on every number. A point is plotted three ticks to the left of 0 What is the coordinate of point P?
Answer:
The coordinates of the point P is -3
Please see attached number line
Step-by-step explanation:
The given information are;
The length of the given number line = The line extends from -30 to +10
The location of major tick marks = Every ten numbers
The location of minor tick marks = Every number
The location of the point P = Three ticks to the left of 0
Therefore, the coordinates of the point P = -3
5x+8y=6π solve equation for y