In the year 2000, the population of a city was 600,000 citizens. The population increases at a rate of 1.8% per year.
a. Create and graph a function to model the population, y , (in thousands), x years after 2000.
b. In complete sentences, interpret the relationship between the rate of change of the function and its graph.
c. Predict the population of the city in the year 2012.
In your final answer, be sure to include your model, graph, interpretation, and prediction of the function.
Answer:
a) 600,000 (1.018)ᵗ, the graph is below:
* "t" is the years. 2000 is the first year, so "t" would be 1. 2012 is the 12th year so "t" would be 12.
b) As the years go by, the population increases. The years (X), and population (Y) both increase together. The graph shows that when the years increase the population increases.
c) In 2012, which would be 12 years later, I predict the population would be around 743,232 people.
Step-by-step explanation:
MRK ME BRAINLIEST PLZZZZZZZZZZZ
can someone please make a word problem for this I have no idea what to do
Answer: The ans is always c
Step-by-step explanation:
What is the coefficient of the fifth term in a binomial that is raised to the sixth power?
15
5
20
6
Answer:
It is 15. Therefore, the coefficient's of the fifth term of binomial expression raised to the power six is 15
solve for the value of n
Answer:
N = 27
Step-by-step explanation:
The total value would be 90 , as it is a right triangle . Starting from the aforementioned number and subtracting it by the given values above shall reward you with the correct answer .
90 - ( 6 + 3 ) = 81
81 / 3 = 27
ALSO GIVE ME BRAINLIEST PLEASE :)
Answer:
i think 27??
Step-by-step explanation:
n+6 +90+2!+3=180
Find the lines of symmetry for each shape. Select all that apply.
Answer:
It is T and R
Step-by-step explanation:
The graph of y = f(x) is shown below. Find the value of f(9).
Answer:
f(9) = 4
Step-by-step explanation:
Locate x = 9 on the x- axis, go vertically up to meet the line at (9, 4 ) , then
The value of f(9) = 4
I bought 10 shirts. Some were R4 and some were R4,50. If the total cost was R43,50. How many of each type did I buy?
Answer:
Step-by-step explanation:
Solution:
Given dimensions of the rectangular sheet
Length = 28 cm
Breadth =22 cm
If the sheet is rolled to form a cylinder then the length becomes height and breadth becomes circumference of the base of a cylinder.
So Height of the cylinder (h)= 28 cm
Circumference of the base of a cylinder
I will mark you brainliest if correct
Answer:
i think its 8.2
Step-by-step explanation:
You have a moving box with a volume of 16 ft3. You know that the box has a length of 2 ft and a height of 4 ft, but you don’t know the width. You need to know all three dimensions to make sure it can fit in the back of the truck. What is the width of the box?
3 ft
4 ft
2 ft
5 ft
Answer:
2ft
Step-by-step explanation:
The width of the box is 2 ft.
Here,
Volume of box = 16 ft^3
Length of box = 2 ft
Height of box = 4 ft
We have to find the width of box.
What is Volume of box?
The volume of box is defined as, the multiply of length, width, height.
Now,
Volume of box = 16 ft^3
Length of box = 2 ft
Height of box = 4 ft
Since, Volume of box = Length x width x height
Let width of box is x ft.
Volume of box = 2 * x * 4
16 = 8x
x = 2
Hence, The width of the box is 2 ft.
Learn more about the volume visit:
https://brainly.com/question/15102472
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how do i do this? please help with answer and explanation
Answer:
x=7
Step-by-step explanation:
180=25x+5
175=25x
7=x
Answer:
x = 7
Step-by-step explanation:
Now we have to,
→ Find the required value of x.
We know that,
→ Sum of all angles in a line is 180°.
Forming the equation,
→ (13x + 2) + (12x + 3) = 180°
Then the value of x will be,
→ (13x + 2) + (12x + 3) = 180°
→ 13x + 2 + 12x + 3 = 180°
→ (13x + 12x) + (2 + 3) = 180°
→ 25x + 5 = 180°
→ 25x = 180 - 5
→ 25x = 175
→ x = 175/25
→ [ x = 7 ]
Hence, the value of x is 7.
What is the value of h(−3) when h(x)= 6x2 − 2x + 12?
72
342
48
−36
−306
Step-by-step explanation:
h(-3)=6×2 - 2(-3) + 12
12+6+12
=30
Jason used the commutative property to write an expression that is equivalent to 3 4 + 5.6b + 9. 3 4 + 5.6b + 9 is equivalent to 9.0 + 56b + 3.4. Is Jason’s work correct?
Answer:
Yes, Jason's work is correct.
Step-by-step explanation:
When you use the commutative property, you can swap the numbers position and still get the same answer.
Hope this helps!!
Answer:
The answer is A No, he changed the terms
Step-by-step explanation:
in which of the expression below does n=3 ? select all that apply.
Answer:
B and C
if n=3 then 5ⁿ=5³=5×5×5=125
n³=3³=3×3×3=27
hope it helps :)
solve the equation for y
1/2y - 21/4 = -35/4
Answer:
[tex]1/2y - 21/4 = -35/4[/tex]
[tex]1/2y = 21/4 -35/4[/tex]
[tex]1/2y = - 7/4[/tex]
[tex]y = - \frac{7}{2} [/tex]
PLEASE HELP WITH THIS
Answer:
a.2b.area of one triangular faces =9m²
2×9m²18m²A triangle has angle measurements of 53°, 37°, and 90°. What kind of triangle is it?
Joey has $350 in his bank account. He pays $15.50 each month for 6 months. 6 months is done how much does joey have in his bank account?
Answer:
Joey has $257 dollars after 6 months.
Step-by-step explanation:
6*$15.50 = $93
$350 - $93 = $257
Have a nice day! :-)
Answer:
he has 257 in his bank account
Step-by-step explanation:
[tex]15.5 \times 6 = 93[/tex]
[tex]350 - 93 = 257[/tex]
The zoo charges $4 admission fee
along with a $2 charge for each
exhibit you visit. what is the initial value, rate of change, and table values
Answer:
Intial Value; $4 (charged)
Rate of change: $2 every exhibit visited
Admission: $4
1 exhibit visited: $6
2 exhibits visited: $8
3 exhibits visited: $10
4 exhibits visited: $12
5 exhibits visited: $14
6 exhibits visited: $16
7 exhibits visited: $18
8 exhibits visited: $20
etc.
Step-by-step explanation:
4+2x = C
C= Cost
X = amount of exhibits visited
To find the total cost.
PLZ HELP I MAKE YOU BRAINILY!!!!!
Answer:
755.3
Step-by-step explanation:
The cylinder volume formula is pi*r^2*height. The r symbolizes the radius, which is 4. The height is 5. Thus, the volume of the cylinder is 5*16*pi = 80pi.
The rectangle's volume is length*width*height. The length is 6, the width is 14, and the height is 6. Therefore, the volume is 6*6*14, which is 504 in.
Now all you have to do is add the two volumes together. 80pi is around 251.3, so 251.3 + 504 = 755.3.
Answer:
I think the answer is B: 755.3^3.
Step-by-step explanation:
Don't hate me if I'm wrong please!!!
To find the volume of multiple figures, just find the volume of each of them and add them together.
Volume of rectangular prism: V = lwh; 14 * 6 * 6 = 504
Volume of cylinder: V = pi * r^2 * h; 16 * 3.14 * 5 = 251.2
504 + 251.2 = 755.2
Since this is the closest answer, the answer is B: 755.3^3.
Please mark me as brainliest!!!!!
how do I do this? I'm confused.
Step-by-step explanation:
[tex]\huge\mathcal\blue{here's \: your \: solution} \\ \\ x = 2y - 14 \: \: \: (given) \\ \\ equation \: = 5x - 7y = - 43 \\ \\ now \: put \: the \: value \: of \: x \: in \: equation \\ \\ 5(2y - 14) - 7y = - 43 \\ \\ 10y - 70 - 7y = - 43 \\ \\ 3y - 70 = - 43 \\ \\ 3y = + 70 - 43 \\ \\ 3y = 27 \\ \\ y = 27 \div 3 \\ \\ y = 9 \\ \\ now \: put \: the \: value \: of \: y \: in \: equation \\ \\ x = (9 \times 2) - 14 \\ \\ x = 18 - 14 \\ \\ x = 4 \\ \\ \huge\mathfrak\red{hope \: it \: helps..}[/tex]
I need help with 13 ABCD
Answer:
a. n (table) : 1 2 3 4 5 6
s (students):4 6 8 10 12 14
b. Arithmetric, since it is adding and corresponding with the numbers
d. 32
not sure about c though. hope this helped.
5. If two angles are complementary and one angle is 40°, what is the other angle?
6. If two angles are supplementary and one angle is 40°, what is the other angle?
5. complementary angles = 90°
90 - 40 = 50
50°
6. supplementary angles = 180°
180 - 40 = 140
140°
5) complimentary angles = 90
If one is 40 then the other is = 90-40= 50
6) Supplementary angles = 180
If one is 40 then the other is = 180 - 40 = 140
Hope u understand
Please mark as the brainliest
Thank You
2+2
I really struggle with this one plz help
Answer:
4
Step-by-step explanation:
lol ur kidding . of not u should work really hard :)
Plz answer i'll give brainliest but it has to be right.
What is the value of x in the equation 3x − 2 = x + 8?
Answer:
x=5
Step-by-step explanation:
We need to find the value of x the given equation: 3x-2=x+8
the goal when solving for equations is to isolate the variable onto one side, and have the number (value of what x is) on the other side
here's the equation:
3x-2=x+8
first, add 2 to both sides
3x-2=x+8
+2 +2
___________
3x=x+10 (2 goes away on the left side, as -2+2=0)
now, subtract x from both sides
3x=x+10
-x -x
______
2x=10 (x goes away on the right side, as x-x=0)
we have the variable isolated on one side, with the number on the other, but we need the value of x by itself (1x)
divide both sides by 2
x=5 (because 2x/2=1x, or x. 10/2=5).
therefore, the value of x is 5
Hope this helps!
Select the correct answer from each drop-down menu.
The director of a community playhouse developed the function (1) = 40t to model the total revenue from ticket sales when t tickets are sold.
In the directors function, the number of tickets sold is the (independent, dependent) variable, and the total revenue from ticket sales ( changes by constant rate, changes by a constant factor) for each ticket sold.
Answer:
dependent & changes by a constant rate
Step-by-step explanation:
dependent because it involves something that involves something else
1) which rule best describes the following pattern?
8,4,10, 6, 12, 8, 14, ...
1) Divide by 2, add 6, subtract 4, repeat
) Subtract 4, add 6, repeat.
» Subtract 4, add 6, subtract 6, repeat.
Divide by 2, add 6, repeat
Answer:
Step-by-step explanation:
Option C is the correct answer
a farmer has 20,000 soybeans seeds he has already planted 6,000 seeds he is planting 2,000 seeds on each acre of land how many acres can the framer plant with the remaining seeds
Answer: Acres he can plant with the remaining seeds
Step-by-step explanation: hope this helps sry if wrong pls don’t be mad but if right you welcome
solve for the value of k
Answer:
k = 42
Step-by-step explanation:
This is a complementary angle, meaning that the angles formed equal 90 degrees. We know it is complementary because the angle is shown was a tiny square, a sign that it is 90 degrees. Thus, the two angles (k+1) and 47 added together must equal 90. So, we can write an equation:
(k+1) + 47 = 90
k + 1 = 43
k = 42.
What is the end behavior of the function f(x)=8x^5-3x^3 +8x+5
Answer:
x → +∞, y → +∞
x → -∞, y → -∞
Step-by-step explanation:
The trick to identify its behavior is to determine the degree of the function and the coefficient of the term with the highest exponent.
Negative coefficient and odd degree (x → +∞, y → -∞) (x → -∞, y → +∞).Negative coefficient and even degree (x → +∞, y → -∞) (x → -∞, y → -∞).Positive coefficient and odd degree (x → +∞, y → +∞) (x → -∞, y → -∞).Positive coefficient and even degree (x → +∞, y → +∞) (x → -∞, y → +∞).