The population of a town is decreasing at a rate of 2% per
year. In 2000 there were 1600 people.
a) Write an exponential decay function to model this situation.
b) Then find the population in 2008.
please help me, Thank you
Answers
Answer:
1362
Step-by-step explanation:
so
A=1600(1-0.02)^8
A = total population after 8 years
1600 = initial amount of people
0.02 = percent in decimal
8 = years after 2000
1- = decay
Related Questions
Drag and drop the angles and line segments into the correct category to identify those that are chords, inscribed angles, and central angles in the figure. The center of the circle is C.
Answers
Line DE and DF are chords, angle DCF is a central angle while angle DEF is an inscribed angle.
What is a circle?A circle is the locus of a point such that its distance from a fixed point known as the center is constant.
Chord is a straight line running across the circumference. Central angle are angles subtending from circle center.
Line DE and DF are chords, angle DCF is a central angle while angle DEF is an inscribed angle.
Find out more on circle at: https://brainly.com/question/24375372
Please help with this question
Answers
Answer:
Hope it helps ;)
Step-by-step explanation:
tan60 = √3 = 28/EG
=> EG = 28/√3 = 28/1.73
=> EG = 16.2 in.
sin60 = √3/2 = 28/EF
=> EF = 56/√3 = 56/1.73
=> EF = 32.4 in.
Work out percentage change when a price of £20 is increased to £50
Answers
Answer:
150%
Step-by-step explanation:
40 euro = 100% change
20 / 2 = 10 (50% of 20)
Add them
40 + 10 = 500
100 + 50 = 150
150%
50 is a 150% increase of 20.
In a math test, there are 16 multiple-choice problems. Correct answer will get 6 points, and wrong answer will deduct 2 points, and leaving the question not answered will get 0 point. Stan has one question not answered, at least how many correct answer(s) should he get in order to get total score not less than 60
Answers
So if he has one question not answered that stays at 0 points+ however many points he already has. He has to get at least 10 questions right. 10x6= 60
What is the equation of the line slope of 1/4 and a y-intercept of -2
Help me with these 3 equations please !!!!!!!
Answers
Hello.
We have the slope of the line and its y-intercept; this is enough information for us to write the line's equation in slope-intercept form:
y=mx+b
m = slope (1/4)
b= y-intercept
Equation:
[tex]y=\displaystyle\frac{1}{4} x-2[/tex]
I hope it helps.
Have a nice day.
[tex]\boxed{imperturbability}[/tex]
A square picture has a 2-in. frame around it. If the area of the frame alone is 72 in .2, what is the area of the picture?
Answers
The area of the picture is 68 square inches
How to calculate the area of a squareGiven the following parameters
Area of the frame alone = 72 square inches
Area of the square picture = 2 * 2 = 4 square inches
Determine the area of the picture
Area of the picture = 72 square in - 4 square in
Area of the picture = 68 square inches
Hence the area of the picture is 68 square inches
Learn more on area of square here: https://brainly.com/question/25092270
cole spent 55% of his money on a coat and the rest on food. if he spent $187 on the coat, how much did he spend on food?
Answers
( ( 187 / 55 ) * 100 ) - 187 = how much he spent on food
( ( 187 / 55 ) * 100 ) - 187 = $153 spent on food
A spinner has numbers from 1-5. What is the probability of spinning a multiple of 2?
Answers
The only multiples of two here are 2 and 4. That leaves you with two options out of 5, so the probability is 2/5.
Simplify polynomial: 10xyz(20xyz-30xyz)
Answers
find the value of x
Answers
Answer: 3
Step-by-step explanation:
Can someone please help me with this???
1.
Part A: If (26)x = 1, what is the value of x? Explain your answer. (5 points)
Part B: If (50)x = 1, what are the possible values of x? Explain your answer. (5 points)
Answers
Part A:
(26)x = 1
Solve for x by dividing both sides by 26:
X = 1/26
part B:
(50)x = 1
Solve for x by dividing both sides by 50:
X = 1/50
[tex]\\ \rm\Rrightarrow 26x=1[/tex]
[tex]\\ \rm\Rrightarrow x=1/26[/tex]
#B
[tex]\\ \rm\Rrightarrow 50x=1[/tex]
[tex]\\ \rm\Rrightarrow x=1/50=0.02[/tex]
9 + 4 to the third power x (20-8) / 2 + 6
Answers
Answer:
120.25
Step-by-step explanation:
4 to the third power is 64. so 64 + 9 = 83. 20-8 = 18. 6 + 2 = 8.
so 83 + 18 + 8 = 109. so 8 divided by 18 = 2.25. 109 + 9 + 2.25 = 120.25.
The longest chord in the diagram is:
UT
TV
SV
SU
Answers
Answer:
a ut is the longes cored
Step-by-step explanaton:
Please help me here's the question
Anthony answered 16 out of 20 questions on his reading midterm correctly. What percent of questions did Anthony answer correctly on his midterm?
Answers
A= 40%
B= 80%
C= 75%
D= 16%
Answers
Answer:
Anthony answered 16 out of 20 questions on his reading midterm correctly. What percent of questions did Anthony answer correctly on his midterm? 80%
Answer:
80 percent wich is letter B
Step-by-step explanation:
percent = 100
so 16/20 can also be written as 80/100 which is 80%
Select all the following that describe the association in the scatter plot
Answers
Answer:
Linear and positive
Step-by-step explanation:
Positive because its going up and linear because its not scattered, its more or less in a line going up
There are 6 red marbles, 7 green marbles 5 orange marbles and 9 pink marbles what is the probability of getting a red and green marble without putting it back.
Answers
total.
Hopes this help:)
Answer:
6/27
Step-by-step explanation:
because there is 6 red marbles and the total of 27 marbles
so there is 6/27 chances that you get a red marbles
HELPPP FOR BRIANSLST!!!
Answers
Answer:
5/16
Step-by-step explanation:
velvet and acoustic guitar (5) over total (16)
5/16 does not simplify
Given the arithmetic sequence an = 4 − 3(n − 1), what is the domain for n? All integers where n ≥ 1 All integers where n > 1 All integers where n ≤ 4 All integers where n ≥ 4.
Answers
All integers where n ≥ 1.
We have given that the sequence,
[tex]a_{n} =4-3(n-1)[/tex]
We have to find the domain for n.
What is the meaning of arithmetic sequence?Arithmetic sequence is a sequence of numbers such that the difference between the consecutive terms is constant. Difference here means the second minus the first.
That is, [tex]a_{n} =a+(n-1)d[/tex]
where a = first term of sequence.
d =common difference.
n =number of terms which belongs to natural numbers
By the definition of arithmetic sequence n starts with 1
Remember that,the natural number starts with 1
Now, in given sequence for nth term
[tex]a_{n} =4-3(n-1)[/tex]
The domain for n is All integers where n ≥ 1.
To learn more about the arithmetic sequence visit:
https://brainly.com/question/20118982
use the given information to find the missing angles
Answers
Answer:
m<CAD= 120 degrees
m<CBA= 30 degrees
Step-by-step explanation:
just trust me bro
if f(x) = 2 - x^1/2 and g(x) = x^2 – 9, what is the domain of g(x) divided f(x)?
Answers
~Shoto Todoroki here~
Let's consider what we are asked. The domain is defined as a set of points that satisfy the equation on the x-ordinate.
So, essentially, we need to find if and what the restriction on x is.
Let's now consider just f(x) because g(x) is completely irrelevant to the question.
f(x) = 2 - x^(1/2)
Since f(x) can never be 0 for a defined function, let's consider when f(x) = 0 to find a restriction on x.
2 - x^(1/2) = 0
2 = x^(1/2)
+-4 = x
But we can only take the positive 4 because inside a square root has to always be positive (unless you're dealing with complex numbers), so the only restriction is that x cannot be equal to 4.
Therefore, our domain is: x >= 0; x =/= 4hope this helps :D
Help me please it’s due by today
Answers
Answer:
D
Step-by-step explanation:
Lateral SA = area of the 4 triangles
Formula to be used :-
Area (triangle) = 1/2bh
=> 4 x 1/2 x 9 x 12
=> 108 x 2
=> 216 cm²
Total SA = LSA + area of the square
Formula to be used :-
Area (square) = side length x side length
=> 216 + 9 x 9
=> 216 + 81
=> 297 cm²
The correct option is (D).
LSA:-
Area of one triangle:-
1/2(Base)(Height)1/2(9)(12)6(9)54cm²LSA
4(54)216cm²TSA:-
Area of square:-
side²9²81cm²TSA:-
81+216=297cm²2x times -6x in multiplying polynomials
Answers
Answer:
- 1x2x3xX
Step-by-step explanation:
- 6x
One of the factors is - 1
If the coefficient is negative, one of its factors is - 1
⬇️
- 1x6x
Factor the monomial by writing the coefficient 6 as a product of prime numbers
⬇️
Solution
- 1x2x3xx
Find the distance between the points
(8,8) and (8,-2)
Answers
Answer:
10 is the answer
hello bro
The radius of a circle is 17 cm. Find its area in terms of pie
Answers
Answer:
289π cm²
Step-by-step explanation:
Area = πr²
= π x (17)²
= 289π cm²
Hurry please!
Find the slope
Answers
Answer:
0
Step-by-step explanation:
The slope is always 0 on a horizontal line.
48 divided by 9,853 and whats the r
Answers
The quotient and remainder of 9853 divided by 48 = 205 R 13
explained in image
Please answer! It is due in 20 min.
Answers
Answer:
33
Step-by-step explanation:
90-57=?
57+?=90
57+33=90
A fly was sitting on the ground in the front left corner of your classroom. He flew to the ceiling in the opposite corner of the room. How far did he fly if the room is 12 feet by 8 feet by 9 feet?
A- 12.0 feet
B- 17 feet
C- 14.4 feet
D- 864 feet
Answers
Answer: it should be either A or B
Step-by-step explanation:
sorry if I’m wrong
i do not know this answer
Answers
Answer:
(5, -5)
Step-by-step explanation:
The point J is 3 away form the line. so when reflected, it will be 3 away on the other side, thus (5, -5)
Can somebody help me please and thank you
Answers
We know that,
[tex]{ \longrightarrow \bf \qquad \: {(a + b)}^{2} = {a}^{2} + 2.a.b + {b}^{2} }[/tex]
Solution :
[tex]{ \longrightarrow \sf \qquad \: {4x}^{2} + 12x + 9 }[/tex]
We can also write it as,
[tex]{ \longrightarrow \sf \qquad \: {4x}^{2} + 12x + {3}^{2} }[/tex]
Now, using the formula, we'll solve the expression.
[tex]{ \longrightarrow \sf \qquad \: {2x}^{2} + 2.2x.3 + {3}^{2} }[/tex]
[tex]{ \longrightarrow \sf \qquad \: (2x + 3)^{2} }[/tex]
Since,
Area = (side)²Therefore,
The Length of one side is (2x + 3)