Solution :
Initial population, P = 752,000 .
Rate of decrease, r = 1.4 % .
Now, population decrease in 1st year :
[tex]P_1 = P( 1 - 0.014 )[/tex]
Also, population decrease in 2nd year :
[tex]P_2 = P_1( 1 -0.014 )\\\\P_2 = P( 1 - 0.014)^2[/tex]
Similarly for each next x year, population will be :
[tex]P_x = P( 1-0.014)^x[/tex]
Therefore, population after x years is given by :
[tex]P_x = 752000 ( 1-0.014)^x[/tex]
Find x and y so that the quadrilateral is a parallelogram.
Answer:
Result:
The value of x = 12The value of y = 21Step-by-step explanation:
Given
The parallelogram DEFG
DE = 6x-12
FG = 2x+36
EF = 4y
DG = 6y-42
We know that the opposite sides of a parallelogram are equal.
As DE and FG are opposite sides, so
DE = FG
substituting DE = 6x-12 and FG = 2x+36 in the equation
6x-12 = 2x+36
6x-2x = 36+12
simplifying
4x = 48
dividing both sides by 4
4x/4 = 48/4
x = 12
Therefore,
The value of x = 12
Also, EF and DG are opposite sides, so
EF = DG
substituting EF = 4y and DG = 6y-42 in the equation
4y = 6y-42
switching sides
6y-42 = 4y
6y-4y = 42
2y = 42
dividing both sides by 2
2y/2 = 42/2
y = 21
Therefore,
The value of y = 21
Result:
The value of x = 12The value of y = 21How to use substitution to solve
Given:
A. Evaluate [tex]\dfrac{3}{8}x-4.5[/tex] when x=0.04.
B. Evaluate [tex]8.4n-3.2p[/tex] when n=2 and p=4.
To find:
The values of the given expression at the given values.
Solution:
A.
We have,
[tex]\dfrac{3}{8}x-4.5[/tex]
Putting x=0.04 in the above expression, we get
[tex]\dfrac{3}{8}(0.04)-4.5[/tex]
[tex]=0.015-4.5[/tex]
[tex]=-4.485[/tex]
Therefore, the value of the expression at x=0.04 is -4.485.
B.
We have,
[tex]8.4n-3.2p[/tex]
Putting n=2 and p=4 in the above expression, we get
[tex]8.4(2)-3.2(4)[/tex]
[tex]=16.8-12.8[/tex]
[tex]=4[/tex]
Therefore, the value of the expression at n=2 and p=4 is 4.
(7, 11)
(3, 6)
(5,8)
Is this relation a function?
Answer:
yes
Step-by-step explanation:
because the inputs are repeated to the same number.
Example of what im talking about: (3,7), (4,9), (3,9) this isn't a function
A recipe needs 1/2 teaspoon of vanilla for every 2 1/2 cups of sugar. If you plan to use 5 cups of sugar, how much vanilla will you need?
Please Help Me
Find the premiter of the semi circle l. Round to the nearest hundredth ( use Pi key)
Answer:
circumference of a circle = πd
π12 = 37.6991118
37.6991118/2 = 18.8495559
18.8495559 + 12 = 30.8495559
perimeter = 30.85
I need help with this
Answer: option #2
Step-by-step explanation:
each new number equals the previous number x4.
in the figure shown, line AB is parallel to line CD.
Part A: What is the measure of angle x? Show your work. (5 points)
Part B: Explain how you found the measure of angle x by identifying the angle relationships that you used along the transversal.
Helpppp
Part A = 46
64+70=134, 180-134=46
Part B
PRD and BPR are same side interior meaning they are supplementary so
BPR=70 and APB is a straight line meaning it = 180 which gives you
64+70+x=180
The measure of angle x is 50 degrees.
What are supplementary angles?Two angles whose sum is 180° are called supplementary angles. If a straight line is intersected by a line, then there are two angles form on each of the sides of the considered straight line. Those two two angles are two pairs of supplementary angles.
We can see that Angle BPR and angle PRD are supplementary angles, thus their sum is equal to 180
Angle BPR + 115 = 180
Now subtract 115 from both sides;
BPR = 65
Also, the angles APQ, x, and BPR form a straight line and their sum is equal to 180
65 + x + 65 = 180
Now add like terms;
130 + x = 180
x = 50
Learn more about supplementary angles here:
https://brainly.com/question/2882938
#SPJ2
Is (4,3) a solution of the graphed inequality?
what is one way to multiply 178x56
Answer:
Uh.. by just multiplying them.. 178x56= 9968
Step-by-step explanation:
Hav a gud day :P
-10 is 9 less than a number w
Answer:
-1
Step-by-step explanation:
To figure this answer out, you add 9 to -10, which is -1
Hope this helps
Corey bought 2 1/2 liters of paint for$60
Last year, 11 students tried out for the
debating team. This year 15 students tried
out. What was the percent of increase in the
number of students who tried out?
The graph represents a function related to a train's movement over time.
12
11
10
9
8
6
5
4
2
0 1 2 3 4
7 8 9 10 11 12
Time
Which function could this graph represent?
A.
the speed of a train as it decreases its rate of acceleration
B.
the speed of a train as it slows down when approaching a station
C.
the distance of a train from a station it has departed as it accelerates
D.
the distance of a train from a station it approaches at a constant speed
Answer:
Where is the question?
Step-by-step explanation:
2x+6+7=?
i need help
Answer: 26
6 plus 7 is 13 so 13 x 2 is 26
Step-by-step explanation:
Divide: 15m^2n + 20mn/5mn
The scatter plot shows the number of passengers at a major airport over a 15-year period from the year 2000. About how many passengers traveled through this airport in the year 2011?
Answer:
The answer is 65
Step-by-step explanation:
First, determine the x-value that corresponds to the given year.
Since x corresponds to the number of years since 2000, the year 2009 corresponds to an x-value of 9.
Next, find the y-value on the trend line that corresponds to an x-value of 9. The problem statement has been updated to show lines traced from the x-value of 9 to the trend line and then to the y-value.
Notice that the point (9,70) appears to lie on the trend line.
Therefore, in 2009, approximately 70 million passengers travelled through the airport.
Question is complete.
Answer:
Step-by-step explanation:
gulp
Serenity has some pennies and some nickels. She has no less than 18 coins worth at most $0.66 combined. If Serenity has 12 pennies, determine the maximum number of nickels that she could have. If there are no possible solutions, submit an empty answer.
Answer: 10 nickels
Step-by-step explanation:
A pennie is a cent or $0.01. Serenity has 12 pennies so the amount she has from pennies is:
= 12 * 0.01
= $0.12
The amount she has in nickels at most is therefore:
= 0.66 - 0.12
= $0.54
A nickel is $0.05 so the number of nickels are:
= 0.54/0.05
= 10.8 nickels
= 10 nickels
If she has 10 nickels then the total she would have is:
= (12 * 0.01) + (10 * 0.05)
= $0.62
This fits the parameters
help me out with this so confused
Answer:
The answer is 3.
Step-by-step explanation:
A rational number means the number can be written as a fraction of two integers. [tex]5\sqrt{9}[/tex]=5*3=15, so it is the only rational number. The other answers cannot be written as a fraction of two integers.
what is 3856 times 4656 equal
(4656) (3856) = 17,953,536
HELP ASAP 15 points
What is the domain of the relation {(-4,1),(-2,0), (8,-1)}?
a {-1,1)
b. {-1, 0, 1)
C. {-4,-2,8)
d. (-4,-2,-1, 0, 1, 8}
The measure of an interior angle of a regular polygon is 174. Find the number of sides in the polygon.
Answer:
6
Step-by-step explanation:
it as a interior angle of a regular polygon is 23
8(x+9) =
dhjsjandkwkks
This recipe makes 4 portions of porridge.
Complete the amount of each ingredient that is needed to make just 3 portions.
Recipe: Serves 4
240 g oats
1.2 L milk
60 g sugar
Can someone help
Answer:
180 g oats
0.9 L milk
45 g sugar
Step-by-step explanation:
those are all divided by 3/4 making just 3 portions :D
What is the length of segment AB?
A) 2
B)2.5
C) 5
D) 10
Answer:
10..................
find the are of this rectangle write answer in simplest form
Answer:
9 7/9 0r 88/9
Answer the question............
Hey there!
The answer to your first question is 4.5 inches by 6 inches.
We can solve this by doing 3 x 1.5 and 4 x 1.5, which equals 4.5 and 6.
The answer to the second part is 27 inches²
The formula for area is length times width, so you can do 4.5 x 6
The answer to the third part is Ralph is incorrect because he probably found the area of the original dimensions, and then multiplied it by 1.5. You have to find the actual dimensions first, and then find the area.
Hope this helps. Good luck, have a great day, and let me know if there's more.
△ABC is given with line m drawn through A parallel to BC¯¯¯¯¯¯¯¯. In the course of proving that the interior angle measures of △ABC sum to 180°, which of the following will be shown? Select the two correct answers.
A. ∠1≅∠B
B. m∠BAC+m∠C+m∠2=180°
C. m∠1+m∠BAC+m∠2=180°
D. ∠1≅∠C
E. ∠2≅∠A
Answer:
I think a) and c is correct.
click to see the question
A and C is the answer
hope you'll learn from your teacher how?
lan ran a total of 15.75 miles over 6 days. How many miles did he run per day?
Answer:
2.625
Step-by-step explanation:
Divide 15.75 by 6 days
Answer:
2.625 mi each day cuz 15.75 divided by 6 is 2.625
the length of the red line segment is 6
Answer:
What is the question or image?
Step-by-step explanation:
Need it to solve