Answer:
[tex]f(x) = 63000(0.97)^x[/tex]
Step-by-step explanation:
Given
[tex]f(0) = 63000[/tex] ---x = 0, in 2012
[tex]f(5) = 54100[/tex] -- x = 5, in 2017
Required
Select all possible equations
Because there is a reduction in the population, as time increases; the rate must be less than 1.
An exponential function is represented as:
[tex]f(x) = ab^x[/tex]
Where
[tex]b = rate[/tex]
rate > 1 in options (a) and (b) i.e. 1.03
This implies that (a) and (b) cannot be true
For option (c), we have:
[tex]f(x) = 63000(0.97)^x[/tex]
Set x = 0
[tex]f(0) = 63000(0.97)^0 = 63000*1=63000\\[/tex]
Set x = 5
[tex]f(5) = 63000(0.97)^5 = 63000*0.8587=54098.1 \approx 54100[/tex]
This is true because the calculated values of f(0) and f(5) correspond to the given values
For option (d), we have:
[tex]f(x) = 52477(0.97)^x[/tex]
Set x = 0
[tex]f(0) = 52477(0.97)^0 - 52477* 1 = 52477[/tex]
This is false because the calculated value of f(0) does not correspond to the given value
For option (e), we have:
[tex]f(x) = 63000(0.97)^\frac{1}{5x}[/tex]
Set x = 0
[tex]f(0) = 63000(0.97)^\frac{1}{5*0} = 63000(0.97)^\frac{1}{0} =[/tex]undefined
This is false because the f(x) is not undefined at x = 0
For option (f), we have:
[tex]f(x) = 52477(0.97)^{5x[/tex]
Set x = 0
[tex]f(0) = 52477(0.97)^{5*0} = 52477(0.97)^0 =52477*1= 52477[/tex]
This is false because the calculated value of f(0) does not correspond to the given value
From the computations above, only (c) [tex]f(x) = 63000(0.97)^x[/tex] is true
What is the answer to this question?
Answer:
10
Step-by-step explanation:
70-30=40
50-40=10
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plz help me plz plz plz plz plz
Answer:
38
Step-by-step explanation:
The area of a kite is equal to half the product of the diagonals
To find the area we must first find the measures of the diagonals
short diagonal = 2 + 2 = 4
longer diagonal = 8 + 11 = 19
We then calculate the area by multiplying the two diagonals together and then dividing that by 2
A = 19 * 4 = 76
76 / 2 = 38
Hence, the area of the kite is 38m²
38m².
Answer:
Solution given;
diagonal 1=8+11=19m
diagonal 2=2+2=4m
the area of a kite =½*diagonal 1*diagonal 2
=½*4*19=38m²
The area of kite is 38m².
The surface area of a figure is 736 in^2. If the dimensions are multiplied by 22, what will be the surface area of the new figure?
Answer:
356 224 in²Step-by-step explanation:
If the dimansions of a figure are multiplied by 22 then its surface is multiplied by 22²
736 in²·22² = 736 in²·484 = 356 224 in²
A rectangular prism has a volume of 100 cm3. The length of the prism 25 cm, the height is 2 cm, but the width is unknown. What is the width of the rectangular prism?
4cm
2cm
3cm
none of the above
Answer:
w = 2 cm
Step-by-step explanation:
100 = 25 x 2 x w
w = 2 cm
The width of the rectangular prism is 2 cm.
What is volume?Volume is the amount of space occupied by a solid shape.
To calculate the width of the rectangular prism we use the formula below.
Formula:
V = lwh................. Equation 1Where:
l = Length of the prismw = Width of the prismh = Height of the prismV = Volume of the prismMake w the subject of the equation
w = V/lh................Equation 2From the question,
Given:
l = 25 cmh = 2 cmV = 100 cm³Substitute these values into equation 2
w = 100/(25×2)w = 100/50w = 2 cmHence, the width of the rectangular prism is 2 cm.
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The area of the
rhombus is 52 m2
What is the base of
the rhombus?
i have explained through pictures
Please help, Find the perimeter of the figure
Answer:
24
Hope that this helps!
Answer:
24 inches
Step-by-step explanation:
starting from 4 going clockwise, add the inches to get the perimeter:
4 + 5 + 1 + 5 + 9 = 24
Help a bab out with Geometry ☹️?
Answer:
1/3*9.7*pi7.6^2ft^3
Step-by-step explanation:
Then round to the nearest hundred,
=586.7ft^3
Emerson deposited $194 into the bank. What will the balance be if Emerson left the money there for 7 years with an interest rate of 7.67%?
Answer:
You just have to round to the cent place to get your answer
Step-by-step explanation:
Hope it helped!
-Brainly User
Answer:
298.16
Step-by-step explanation:
you divide 7.67 by 100 then you would take that number and multiply it by 194 and 7 and then add your total to 194
Two rectangles are similar. One is 2.5 meters by 9 meters. The longer side of
the second rectangle is 22.5 meters. What is the other side of the second rectangle?
please help asap!
thanks
Answer:
Option B
Step-by-step explanation:
By applying Pythagoras theorem in the given right triangle,
(Hypotenuse)² = (leg 1)² + (leg 2)²
Now substitute the measures of each side in the formula,
(13)² = x² + (12)²
169 = x² + 144
x² = 169 - 144
x² = 25
x = √25
x = 5
Therefore, Option B will be the correct option.
Factor each polynomial using the Greatest Common Factor.
Answer:
–9(3x³ – 8x + 9)
Step-by-step explanation:
–27x³ + 72x – 81
The above equation can be factorised as follow:
–27x³ = –3 * 3 * 3 * x * x * x
72x = 2 * 2 * 2 * 3 * 3 * x
–81 = –3 * 3 * 3 * 3
Common factor = 3 * 3
Greatest common factor = 9
Thus,
–27x³ + 72x – 81 = 9(–3x³ + 8x – 9)
–27x³ + 72x – 81 = –9(3x³ – 8x + 9)
Why do you think gas stations often quote a price per gallon that ends in 9/10 of a cent? Do you think this is an appropriate use of fractions? Why or why not?
The first three terms of arithmetic progression are -5,-1 and 3.Find the six term.
Answer:
15
Step-by-step explanation:
The pertinent general formula for this arithmetic progression is
a(n) = a(1) + d(n - 1), where d is the common difference. That difference is d = 4.
Here, a(n) = -5 + 4(n -1)
Therefore, a(6) = -5 + 4(5) = 15
Answer:
It is 15.
Step-by-step explanation:
Alright, first lets find the pattern. Since its a arithmetic sequence, it has something to do with adding/subtracting.
With the values, -5, -1, and 3. Notice something about them? -1 is 4 more than -5 & 3 is 4 more than -1. There's a pattern! The pattern is that for every new term, it is 4 more than the one before it.
With this, we can make a table to find the 6th term!
(Given)
1st Term: -5
2nd Term: -1
3rd Term: 3
Now, continue adding 4 to each term...
4th Term: 7
5th Term: 11
6th Term: 15
For the 6th term, it has been found that the answer's 15.
A man drops a ball from the top of a 300 foot cliff. The height of the falling ball is modeled
by h(t)=-16t2+300 where h is in feet and t is in seconds. How long does it take for the ball to be 44 feet above the ground?
Answer:
The ball reaches 44 ft above the ground after 4 sec.
Step-by-step explanation:
Set h(t)=-16t^2+300 equal to 44 feet and solve for time, t. Indicate exponentiation with " ^ "
-16t^2 + 300 = 44 becomes
-16t^2 + 256 = 0, or 16t^2 = 256. Then, taking the square root of both sides, we get:
4t = 16, or t = 4 sec. The ball reaches 44 ft above the ground after 4 sec.
The ball will take 4 seconds.
What are quadratic equations?A quadratic equation, or simply "quadratics," is a polynomial equation with a degree of two as its highest. This is how it is expressed:
a x² + b x + c = 0 where x is the unknown variable and the constant terms are a, b, and c.
Given equation of height h(t) = -16t² + 300...…..(1)
where h is height in feet and t is time in seconds,
and height at t = 0 is 300 feet
when ball is 44 feet above ground then time is,
put h = 44 in equation 1
44 = -16t² + 300
16t² = 300 - 44
t² = 256/16
t = √16
t = 4
Hence time taken by ball is 4 seconds.
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Pls pls help quick I rlly don’t know I just need a value for x
Step-by-step explanation:
3(x - 3) = 3(2x - 3)
3x - 9 = 6x - 9
- 3x - 9 = -9
-3x. = 0
x = 0
Which point would NOT be a solution to the system of linear inequalities shown below?
Answer:
(-1,1) would not be a solution to the system of linear inequalities presented in the problem. Simply substitute the x and y values in the coordinates provided to see if they would work as solutions.
Hope I helped, have a nice day :)
Answer:
(-1,1)
Step-by-step explanation:
If we try to substitute this values in the second inequality we have
1 > 4 (false)
Jenna multiplied four numbers together and then divided by -2 the result was a positive value which of the following statements must be true 1 an odd number of factors were negative 2 none of the factors were negative 3 and even number of factors were negative 4 all of the factors were negative
Answer:
1. An odd number of factors were negative
Step-by-step explanation:
The first is true.
If an odd number of factors were negative, you have a negative result.
When you divide a negative by a negative you have a positive.
In this case when you divide the negative product by - 2 you have a positive.
Tell whether the angles
are
complementary or supplementary. Then find the value of c.
(6x + 1)
290
Answer:
Complementary, x=10
Step-by-step explanation:
Complementary angles mean they add up to 90 degrees.
So 29+(6x+1)=90.
30+6x=90
6x=60
x=10
Answer:
Complementary-------- x= 10
Step-by-step explanation:
only 90 degrees
(6x-1)/2930+6x = 90-----------------------------
3. 6x = 60
=======================
x= 10
What is the circumference of the table top? Write your answer using
Show your work.
Answer
the diameter is 44
Step-by-step explanation:
the radius is just half of the diameter so to get the diameter from the radius just multiply it by two.
I have no clue what its asking me to do or what to do so do it for me please
Answer:
i cant see the question :(
Step-by-step explanation:
what is x? Options: 60 or 100
Answer:
60 degrees
Step-by-step explanation:
180 - 120= 60
Someone please help me I’ll give out brainliest please dont answer if you don’t know
Answer:
x≥−3
Step-by-step explanation:
Let's solve your inequality step-by-step.
2x+3/ −3 ≤1
Step 1: Simplify both sides of the inequality.
−2/ 3 x−1≤1
Step 2: Add 1 to both sides.
−2/ 3 x−1+1≤1+1
−2/ 3 x≤2
Step 3: Multiply both sides by 3/(-2).
( 3/ −2 )*( −2/ 3 x)≤( 3/ −2 )*(2)
x≥−3
Answer:
x≥−3
If the value of "y" varies directly with "x"
and y = -8 when x = 4.
Find "y" when x = -4.
Enter the number that belongs in the green box.
y = [?]
Use the rule to find the output when the input is –6.
Output = Input ÷ 2
a. –8
b. –3
c. 3
d. –4
Answer: C
Step-by-step explanation:
yes
Need help I u get it right I’ll mark u as branniest
Answer:
primero debemos resolver la ecuacion sumamos 3d mas 10d luego pasamos el mumero 8 al otro lado entonces se convertira en negativo 8 el resulatdo de esta ecuacion sera 13d elevado al cubo =-8
13d^{3}=-8 entonces
entonces remplazamos en la formula cuadratica 3d=a 0=b -8=c y lo rremplazas en la formula cuadratica
Step-by-step explanation:
First we must solve the equation we add 3d plus 10d then we pass the number 8 to the other side then it will become negative 8 the result of this equation will be 13d cubed = -8
13d 3 = - 8 then
then we replace in the quadratic formula 3d = a 0 = b -8 = c and you replace it in the quadratic formula
Find the volume of a right circular cone that has a height of 12.4 m and a base with a
diameter of 5.1 m. Round your answer to the nearest tenth of a cubic meter.
Answer:
84.4
Step-by-step explanation:
done
Volume of a right circular cone is 84.39 m³
What is volume?
The amount of space occupied by a three-dimensional figure as measured in cubic units.
Given:
height = 12.4 m. base diameter= 5.1 m, radius= 5.1/2 m
Volume of right circular cone= 1/3* π* r²*h
= 1/3*3.14* 2.55*2.55*12.4
= 84.39 m³
Hence, the volume of right circular cone is 84.39 m³
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PLEASE HELP WITH THIS
Answer:
a.2b.area of one triangular faces =9m²
2×9m²18m²Can someone please help me with math.
Answer:
D
Step-by-step explanation:
If you multiply all sides by 2 you get the same dimensions.
a shirt normally cost 26 pounds. the price was reduced by 25%. how much does the shirt cost now?
Answer:
19.5 pounds
Step-by-step explanation:
25% of 26 equals 6.5, so 26-6.5 is 19.5 pounds
Solve this
4( x + 4)=
Answer:
4x + 16 - simplified
Step-by-step explanation: