Answer:
Growing at a rate of 3% per year : 200,000 x 3% = 6,000 population/ year
The population of this city in 21 years : 200,000 + ( 6,000 x 21 ) = 326,000 p
Step-by-step explanation:
The population of the city after 21 years is given by the exponential equation A = 372,059
What is exponential growth factor?The exponential growth rate is the value which increases exponentially over a period of time and
x ( t ) = x₀ ( 1 + r )ⁿ
x ( t ) is the growth at time t
x₀ is the initial value growth at time t = 0.
r is the growth rate expressed as percentage when r > 0
And , the decay rate when r < 0 , in percentage
t is the time in discrete intervals and selected time units
Given data ,
Let the exponential equation be represented as A
Now , the value of A is
Let the initial population of the city be x₀ = 200,000
Now , let the number of years be n = 21 years
Let the percentage of increase be r = 3 %
And , exponential growth formula is given by
x ( t ) = x₀ × ( 1 + r )ⁿ
x ( 21 ) = 200,000 ( 1 + 0.03 )²¹
On simplifying the equation , we get
x ( 21 ) = 200,00 ( 1.03 )²¹
x ( 21 ) = 200,000 ( 1.86029457 )
On further simplification , we get
x ( 21 ) = 3,72,058.914
On rounding the population , we get
x ( 21 ) = 372,059
Therefore , the value of A is 372,059
Hence , the exponential growth of the population after 21 years is 372,059
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Sally rolled a 6-sided number cube 40 times and it landed on 4 eight times. What is the experimental probability of Sally getting a 4?
Please I need help this is already late
the first would be A and hopes this helps
Mr. Santos signs up for a plan in which he is offered a discounted rate for cable service for four months. After this period, the cost will be an additional $5 per month. His total cost for cable service for the first year will be $304.
Use the equation below to determine the discounted rate Mr. Santos will pay each month for the first four months.
4(x) + 8(x+5) = 304
a- $24
b- $18
c- $25
d- $22
How many degrees is 1.2 rotations counter clockwise?
Answer:
The expression is already in decimal form.
1.2
Step-by-step explanation:
(づ￣ ³￣)づ
*HELP ME WITH THIS PROBLEM ASAP I COULD FAIL*
Solve the simultaneous equations
y = 4x + 1
y = 2x2 + 7x - 1
4) Graph the line 2x - 7y = 14 using X- and y-intercepts.
x-intercept y-intercept
Click to add text Click to add text
O
YA
6
5
4
3
2
1
-6-5-4-3-2
1 2 3 4
5 6
2
-3
-5
-6
10:45

Answer:
（0，-2） （7，0）
Step-by-step explanation:
find the HCF of the following numbers by prime factorization method 324 & 432
Answer:
108
Step-by-step explanation:
324 = 2 * 2 * 3 * 3 * 3 * 3
432 = 2 * 2 * 2 * 2 * 3 * 3 * 3
The HCF is 2 * 2 * 3 * 3 * 3 = 108
Let U = {q, r, s, t, u, V, W, x, y, z}
A = {q, s, u, w, y}
B = {q, s, y, z}
C ={v, w, x, y, z).
List the elements in the set (B'U C) U A'
Answer:
B'=U-B={q, r, s, t, u, V, W, x, y, z}-{q, s, y, z}={r,t, u, V, W, x, y}
A'=U-A={q, r, s, t, u, V, W, x, y, z}-{q, s, u, w, y}={r,t,v,w,x,z}
B'UC={r,t, u, V,W, x, y}U{v, w, x, y, z).={{r,t, u, V,W, x, y,z}
Step-by-step explanation:
(B'U C) U A'={{r,t, u, V,W, x,y,z}U{r,t,v,w,x,z}={{r,t, u, V,W, x,y,z}
Help me please please
Answer:
4. c = 10
5. True
6. t = 3
Answer:
#4. 10
#5. true
#6. 3
Guys please help it’s urgent!! I tried, my friend tried, my mom tried, my brother tried, and no one can get the answer she wants
Answer:
#13050
Step-by-step explanation:
lxw
30x35= 1050
Answer:
and now i tried
Step-by-step explanation:
hello new challenger (:<
What is the slope of the line that passes through the points (0,7) and (-4,3)
Answer:
The slope=1
Step-by-step explanation:
(0,7)=(x,y) and (-4,3)=(`x,`y)
The formula for finding slope= `y - y/`x - x
3-7/-4-0
-4/-4
1
Therefore, the slope=1
Find the value of F, correct to two decimal places
Answer:
F = 12.14 m
Step-by-step explanation:
F is the side opposite the given 36° angle and the given side length, 15m is adjacent. It's a cosine equation that's needed.
find the cosine of 36°
(calculator necessary)
cos(36) = 0.8090169944
We should be safe to round that to .809 for this.
cos = opp/adj
Substitute what we know:
.809 = F/15 Multiply both sides by 15
.809(15) = F
12.135 = F Round to two places.
Side F is 12.14m
Please help me!!!!!””
Answer:
d=45t
Step-by-step explanation:
to find speed you divide the distance by the time. 67.5/1 1/2 = 45
Answer:d=45t
Step-by-step explanation:
I took the i-Ready
Factor the expression using the greatest common factor
2x + 10 =
Answer:
2(x+5)
Step-by-step explanation:
2x+10
1.Factor our the 2 from the equation
2.Your answer after will be 2(x+5)
Answer:
Step-by-step explanation:
C 17. At high school A, the mean score of 50 students on a science test is 75.
At high school B, the mean score of 40 students on the same test is 80.
What is the mean score of the 90 students?
Answer:
Mean score of 90 students = 77.2
Step-by-step explanation:
Mean score of 50 students from school A = 75
Mean score of 40 students from school B = 80
We need to find mean score of the 90 students?
First we will find sum of scores of students from school A
We know that: [tex]Average=\frac{Sum\:of\:Terms}{Number\:of\:terms}[/tex]
We have Average = 75, Number of terms = 50, We need to find Sum of terms (scores)
[tex]Average=\frac{Sum\:of\:Terms}{Number\:of\:terms}\\75=\frac{Sum\:of\:Terms}{50}\\Sum\:of\:Terms= 75\times 50\\Sum\:of\:Terms=3750[/tex]
So, Sum of scores for School A = 3750
Now, we will find sum of scores of students from school B
We know that: [tex]Average=\frac{Sum\:of\:Terms}{Number\:of\:terms}[/tex]
We have Average = 80, Number of terms = 40, We need to find Sum of terms (scores)
[tex]Average=\frac{Sum\:of\:Terms}{Number\:of\:terms}\\80=\frac{Sum\:of\:Terms}{40}\\Sum\:of\:Terms= 80\times 40\\Sum\:of\:Terms=3200[/tex]
So, Sum of scores for School B = 3200
Now, We will find mean score of the 90 students?
Mean score of 90 students will be:
[tex]Average=\frac{Sum\:of\:Terms}{Number\:of\:terms}\\Average=\frac{3750+3200}{90}\\Average=\frac{6950}{90}\\Average = 77.2[/tex]
So, mean score of 90 students = 77.2
The graph below represents the linear equation y=1/2x-3 a second linear equation is represented by the data in the table. What is the solution to the system of e
ik its late but the correct answer is C:(2,-2)
Step-by-step explanation:
I got the answer correct on Edge 2020.
Hope this helps!!
In a large-sized fish tank, 65% of the fish are guppies. Which calculation finds the probability of getting less than 60%
guppies in a random sample of 100 fish?
Oplec
0.60 -0.65
.60.00
O Plzc
0.60 -0.65
0.65 (0.35)
100
o plec
0.65 -0.60
0.65(0.35)
100
<
0.50 -0.65
100(0.65)(0.35)
o pſz< 710010.65)(0.35)
Answer: b
Step-by-step explanation:
If Alexander has not sold all of the granola after 3 days, he sells the remaining bags for
60% of the cost. What is the sale price of the individual bags of granola?
Answer:
Cost Price of Each Bag is 2.5
Total Gain is 17.5
Step-by-step explanation:
Someone plz help me
Answer:
16 is the answer hope i helped!
Step-by-step explanation:
Answer:
i think it c
:D
Step-by-step explanation:
Help I nee this ASAP, What is the price of 1 tennis ball if a package of three tennis balls cost $4.95?
Answer:
$1.65
Step-by-step explanation:
4.95/3=1.65
Answer:
One tennis ball costs $1.65
Step-by-step explanation:
?= price of one tennis ball
1 - ?
3 - 4.95
Solve: 4.95×1÷3= 1.65
Find exact volume of the cylinder with a diameter of 10 feet and a height of 8 feet
Can somebody help me pls
Answer:
A. don't move either direction
Step-by-step explanation:
the number determines how many you move forward or backward 0 would mean u don't move at all
Answer:
a card with the number 0 would mean not to move at all south would be ''do not move in either direction''
What number solves the equation 5(x+12)=95?
Enter your answer in the box.
plz i need an answer asap!
Answer:
Step-by-step explanation:
5(x+12)=95 (multiply 5 in the brackets)
5x+60=95 (subtract 60 on both sides)
5x=35 (divide 5)
x=7
If 8x−5y=−3 is a true equation, what would be the value of 8x−5y+7?
Answer:
Value of 8x -5y + 7 is 4.
Step-by-step explanation:
Given that:
8x-5y = -3 Eqn 1
It is a true equation.
Now we have to find the value of the given expression
8x -5y + 7
Putting value of 8x-5y from Eqn 1 in the given expression
8x - 5y + 7
-3 + 7
4
Therefore,
8x - 5y + 7 = 4
Hence,
Value of 8x -5y + 7 is 4.
1/3r + 1/6 = 5 5/6
solve this?
Answer:
r=17
Step-by-step explanation:
Answer:
r=17
Step-by-step explanation:
1/3r+1/6= 35/6 (5 5/6)
35/6-1/6= 34/6 (5 4/6 or 5 and 2/3)
1/3r= 34/6 (5 4/6)
3*(1/3)r= (34/6)*3
r=17
The scatter plot shows the maximum noise level when different numbers of the people are in the stadium. The linear model is given by the equation y=1.5x+22.7, where y represents maximum noise level and x represents the number of people the number of people ,in thousands, in the stadium. y=1.5x+22.7
3. What is the y intercept of the linear model given? What does it mean in the context of the problem? Is this reasonable? Explain the reasoning?
The y-intercept of the equation is 22.7 and it represents the initial value of the noise at the y-axis.
What is a scatter plot?A scatter plot is a type of plot or mathematical diagram that displays values for two variables for a set of data using Cartesian coordinates. One more variable can be displayed if the points are coded.
Given that the scatter plot shows the maximum noise level when different numbers of people are in the stadium. The linear model is given by the equation y=1.5x+22.7, where y represents the maximum noise level and x represents the number of people,in thousands, in the stadium. y=1.5x+22.7
The equation for the maximum noise is given as, y=1.5x+22.7. In the given equation the slope of the line is equal to 1.5. The y-intercept of the equation is 22.7 which represents the initial value of the noise at the y-axis.
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2.3 - 7x + 5.1 - 3x
Please help I have 5 minutes
Answer:
2.3+5.1-7x-3x
7.4-10x
Question 2/5
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2
Find the area of the triangle below. The area of the triangle is
in
17 in
8in.
10 in.
15 in
6 in
i think the answer is 122,400
Try the following puzzle:
A bat and ball cost $1.10.
The bat costs one dollar more than the ball.
How much does the ball cost?
Answer:
10 cents
Step-by-step explanation:
the bat cost 1 dollar so subtract 1 dollar from 1.10 and you are left with .10 or 10 cents
Answer:
the ball costs $0.05
Step-by-step explanation:
if the total is $1.10, and the bat is $1 more than the ball, you do
1+2x=1.10. do the algebra, and you get 0.05. hope this helps.