The answer is:
The population in 2015 will be 1,412,415.
Why?Since from the statement we know that the population is increasing, we know that we are working with an exponential growth problem.
We can calculate the exponential growth using the following equation:
[tex]Population(t)=StartPopulation(1+growthpercent)^{t}[/tex]
Where,
P, is the population after t (years, months, days or hours)
Start Population, is the starting population.
Growth percent, is the percent of growth
t, is the time elapsed (years, months, days or hours)
So, we are given the following information:
[tex]StartPopulation=478434\\\\GrowthPercent=7(percent)=\frac{7(percent)}{100}=0.07\\\\TimeElapsed=2015-1999=16years[/tex]
Now, substituting and calculating, we have:
[tex]Population(t)=StartPopulation(1+growthpercent)^{t}[/tex]
[tex]Population(t)=478434(1+0.07)^{16}=141241.5=1412415[/tex]
Hence, the population in 2015 will be 1,412,415.
Have a nice day!
Heyy ! I need help , how does one find the volume of an octagonal prism ?
The formula would be V
=
2
(
1
+
2
)
a
2
h
help plz ...................................
Answer:
Last Choice: 6 * 3 * 3 square inches
Step-by-step explanation:
The net is made up of 6 squares. Each square measures 3 inches by 3 inches. The area of one square is 3 * 3 square inches. The total surface is 6 times the area of one square.
Answer: 6 * 3 * 3 square inches
graph the line with slope -1/4 and y-intercept 4
Answer:
y = (-1/4)x + 4 is the equation of the line in slope-intercept form.
Step-by-step explanation:
When graphing the line I like to do it from left to right. Start at the point (0,4) which is the y-intercept as a coordinate. Slope is rise over run so now go down 1 unit and 4 units to the right. Keep doing that pattern and then connect the points to form a line. Make sure to put arrows on the ends to represent that the line goes on forever in both directions. Going right to left you could go up 1 unit and 4 units to the left as well. I hope this helps.
y = (-1/4)x + 4 is the equation of the line in slope-intercept form.
What is the equation of a line?A straight line's general equation is y = mx + c, where m denotes the gradient and y = c denotes the point at which the line crosses the y-axis. On the y-axis, this value c is referred to as the intercept. Key Concept. Y = mx + c represents the equation of a straight line with gradient m and intercept c on the y-axis.
Given
m = -1/4
c = 4
y = mx+c
y = -1/4 x + c
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If n is at least 6, which inequality best represents the values of n? (1 point) n ≥ 6 n > 6 n < 6 n ≤ 6
At least means that the number could either equal 6 or be greater than 6.
The inequality would be: n ≥ 6
Answer:
the answer would be your first option n > 6
Step-by-step explanation: It is the first option because at least means no less than (blank). In this case, it is 6. And having the greater than and less than signed underlined means you can have it up to your number and including that number.
Hope this helped!!! (pardon the confusing explanation)
Any help on this question would be very helpful
Answer:
All values at which g has a local maximum = {-2, 3}
All local maximum values of g = {-3, -1}
Step-by-step explanation:
All values at which g has a local maximum can be found by locating all points of crest which are at (-2,3), (3,-1)
All values at which g has a local maximum means write the x-coordinates only so the answer is given by {-2, 3}
All local maximum values of g means write the y-coordinates only so the answer is given by {-3, -1}
Hence final answer is given by:
All values at which g has a local maximum = {-2, 3}
All local maximum values of g = {-3, -1}
Find the circumference and the area of the
Answer:
65.97 - Circumference
346.36 - Area
Sorry if this was incorrect ^^'
What is the difference of the given values to the correct level of precision?
22.108 L
– 5.80 L
16.308 L
16.31
16.3 L
16L
Answer: 16.31 L
22.108 L - 5.80 L = 16.308 L
The reason that the answer is only precise up to 2 decimals is because our least precise measurement goes as far as 2 decimals and you can only be as precise as your least precise measurement
John goes out to eat at a local restaurant. The bill comes to $47.83. John want to leave a 20% tip. How much of a tip should he leave
The answer is $9.56.
Hope this helps!
He should leave $ 9.566 as tip.
What is a tip ?
A tip is the % of the total value of your bill you leave for the waiter or the person who gave you the service.
It is completely optional and the % is a variable depending upon various factors.
It is given in the question that
John goes out to eat at a local restaurant
The bill comes to $47.83.
John want to leave a 20% tip
the value of tip in $ = ?
The tip will be equal to
(20/100) * 47.83
(1/5) * 47.83
$ 9.566
Therefore he should leave $ 9.566 as tip.
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What’s the y-intercept for the quadratic equation:y=3x^2+5x-2? Would really appreciate it if someone knew. :)
recall that to find the x-intercept we set y = 0 and solve for "x".
and to find the y-intercept, we set x = 0 and solve for "y", so let's do so
x = 0, so then the equation turns into
y = 3x² + 5x - 2
y = 3(0)² + 5(0) - 2
y = -2
when x = 0, y = -2, ( 0 , -2 ).
What is the value of x?
Answer:
[tex]\large\boxed{x=8\sqrt2}[/tex]
Step-by-step explanation:
[tex]\bold{METHOD\ 1}\\\\\text{Use the Pythagorean theorem:}\\\\leg^2+leg^2=hypotenuse^2\\\\\text{We have}\ leg=8,\ leg=8,\ hypotenuse=x.\\\text{Substitute:}\\\\x^2=8^2+8^2\\\\x^2=2(8^2)\to x=\sqrt{2(8^2)}\qquad\text{use}\ \sqrt{ab}=\sqrt{a}\cdot\sqrt{b}\\\\x=\sqrt2\cdot\sqrt{8^2}\qquad\text{use}\ \sqrt{a^2}=a\\\\x=8\sqrt2[/tex]
[tex]\bold{METHOD\ 2}\\(look\ at\ the\ picture)\\\\\text{We have}\ a=8.\ \text{Therefore}\ a\sqrt2=8\sqrt2[/tex]
Without using a protractor to measure exactly, choose the BEST possible measurement of the angle above.
A. 90°
B. 45°
C. 85°
D. 160°
Answer:
Step-by-step explanation:
The slanting line has a slope of approximately 1, so the angle this line makes with the horiz. axis is approx. 45 degrees.
Answer:
B
Step-by-step explanation:
It's not going to be a right angle. The two lines of a right angle are perpendicular. A is incorrect.
C is incorrect. 85o is pretty close to 90 degrees. That angle is nowhere's near that large.
D is incorrect. 160 degrees is nearly a straight line. The angle shown isn't.
That leaves B.
B looks to be 45 degrees and since the others are incorrect, B must be your answer.
which student solved the equation w/13.5 = 9.7 correctly?
Answer:
Kwan's work
Step-by-step explanation:
The given equation is:
[tex]\frac{w}{13.5}=9.7[/tex]
We multiply both sides by 13.5 to obtain:
[tex]\frac{w}{13.5}\times 13.5=9.7\times 13.5[/tex]
We simplify to get;
[tex]w=9.7\times 13.5[/tex]
We multiply out the RHS to get:
[tex]w=130.95[/tex]
Answer:
kyan's work
Step-by-step explanation:
i did the test
Which best describes a system of equations that has infinitely many solutions
Answer:
see explanation
Step-by-step explanation:
Either both equations are equal or are multiples of each other
As an example consider the 2 equations
4x - y = 2 → (1)
- 12x + 3y = - 6 → (2)
Multiply (1) by - 3
- 12x + 3y = - 6 → (3)
Subtract (3) from (2) term by term
(- 12x - (- 12)x) + (3y - 3y) = (- 6 - (- 6)), that is
(- 12x + 12x) + 0 = - 6 + 6
0 = 0
This indicates the solution has infinite solutions
let x = k, k is a real number then from (1) y = 4x - 2 ⇒ y = 4k - 2
Thus (k, 4k - 2) will generate solutions to the system of equations
The given figure is a square pyramid the side length of the base of the pyramid is 5 inches the height if the pyramid is 3.3 inches what is the volume of the pyramid
Answer:
53
Step-by-step explanation:you have to do it youself
Please need help badly. If the area of BAC=15, what is the area of EDF
Similar triangles are those triangles whose corresponding sides are in the same ratio. The area of the ΔDEF is 9.6 inches².
What are similar triangles?Similar triangles are those triangles whose corresponding sides are in the same ratio. And the corresponding angles measure the same.
For similar triangles, the ratio of their area is equal to the square of the ratio of their sides. Therefore, we can write for the given triangles,
(Area of ΔDEF)/(Area of ΔABC) = (4/5)²
Area of ΔDEF = (16/25) × 15 in²
Area of ΔDEF = 9.6 in²
Hence, the area of the ΔDEF is 9.6 inches².
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What is 25% of 75?
Answer now! High value question on the market!
[ Really! ]
Step-by-step explanation:
[tex]p\%=\dfrac{p}{100}\\\\25\%=\dfrac{25}{100}=0.25\\\\25\%\ of\ 75\to 0.25(75)=18.75[/tex]
[tex]75 \div x = 100 \div 25[/tex]
[tex]x = \frac{75 \times 25}{100} [/tex]
[tex]x = 18.75[/tex]
(HELP ASAP PLEASE)
Zoe often orders party trays from her favorite Mexican food restaurant for company events. For a recent company party, she spent $239 on 4 burrito platters and 5 taco platters. For a company meeting, she spent $208 on 3 burrito platters and 5 taco platters. How much does each type of platter cost?
Each burrito platter costs $___ and each taco platter costs $___ .
Answer:
Each burrito platter costs $_31_ and each taco platter costs $_23__ .
Step-by-step explanation:
Let's first express both orders into equations. Let's simply use b for the burritos platters and t for the tacos platters:
4b + 5t = 239
3b + 5t = 208
We can use the subtraction method easily on this one:
4b + 5t = 239
-
3b + 5t = 208
==============
1b + 0t = 31
b = 31
So, the burrito platters ost $31 each.
Now, let's find how much are the tacos ones. Just take the first equation:
4(31) + 5t = 239
124 + 5t = 239
5t = 115
t = 23
Taco platters cost $23.
Let's test that with the second equation:
3b + 5t = 208
3(31) + 5(23) = 208
93 + 115 = 208
208 = 208
Verified!
You want to hang a painting in the center of a 12-
foot wall. The painting is 2 feet wide. How far from
the edge of the wall do you place the nail to hang the
painting?
Answer:
6 feet from the edge of the wall
Lisa and Julia are selling cookie dough for a school fundraiser. Customers can buy packages of sugar cookie dough and packages of chocolate chip cookie dough. Lisa sold 13 packages of sugar cookie dough and 6 packages of chocolate chip cookie dough for a total of $252. Julia sold 8 packages of sugar cookie dough and 12 packages of chocolate chip cookie dough for a total of $288. Find the cost of each of one package of sugar cookie dough and one package of chocolate chip cookie dough.
x = ______________________________ y = _______________________________
Equations:
1.
2.
solution: _______________________
Final answer:
The problem is a linear system where we find the cost of sugar cookie dough (x) at $12 per package and chocolate chip cookie dough (y) at $16 per package by forming and solving two linear equations.
Explanation:
The problem presented is one of linear systems, where we are asked to find the cost of one package of sugar cookie dough (x) and one package of chocolate chip cookie dough (y). To solve for x and y, we need to create two equations based on the information given:
13x + 6y = $252 (Lisa's sales)
8x + 12y = $288 (Julia's sales)
By solving this system of equations, we can determine the cost of each type of cookie dough. Using either substitution or elimination method will lead us to the solution. For this example, I'll use the elimination method:
Multiply each side of the first equation by 2, and the second equation by -1, and then add them together to eliminate y:
26x + 12y = $504
-8x - 12y = -$288
18x = $216
x = $216 / 18
x = $12
Substitute x back into any one of the original equations to find y:
13($12) + 6y = $252
$156 + 6y = $252
6y = $252 - $156
6y = $96
y = $96 / 6
y = $16
So the cost per package is $12 for sugar cookie dough and $16 for chocolate chip cookie dough.
Eight people were asked what the balance of their bank accounts at the beginning of the past week was and how much it increased or decreased by the end of the past week.
Create a s scatter plot that represents the data that is shown in the table. The x-axis represents the beginning balance in thousands of dollars and the y-axis represents the change in the bank account in hundreds of dollars.
Someone please help me
The scatter plot diagram that represents the data that is shown in the given table is; Attached below
How to draw a scatter plot diagram?
We are told that;
x-axis represents the beginning balance in thousands of dollars.
y-axis represents the change in the bank account in hundreds of dollars.
Now, this means the values on the x-axis in plotting order from left to right with their corresponding y-values are;
x - values = 4, 7, 2, 3, 1, 5, 2, 4
y - values = 7, 5, 3, 4, 6, 3, 1, 2
Thus, to plot the scatter diagram, we will enter the correpsonding x and y cordinate values which is seen in the scatter diagram attached.
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Answer: For future students, this is the answer. Check the photo. I'm from k12, Have a great day :)
Step-by-step explanation:
A bed room set is being sold for $5500 if bought cash. The set can be bought on
hire purchase by making a down payment of $1500 followed by 24 months
payments of $175 each. Calculate:
the total installments paid
the hire purchase price
the amount saved by paying cash.
Dion bought a new keyboard on hire-purchase. The cash price was $2400. He
paid a 25% deposit followed by 24 monthly payments of $120 each. Calculate
the amount of the deposit paid
the total monthly payments made
the hire purchase price
the difference between the cash price and the hire purchase price
Mr. Baker bought a gas stove on hire-purchase. The cash price was $850. H
a 15% deposit followed by 18 monthly payments of $42 cach.
Calculate:
Answer:
A bed room set is being sold for $5500 if bought cash. The set can be bought on hire purchase by making a down payment of $1500 followed by 24 months payments of $175 each. Calculate:
the total installments paid
24 ($175) = $4200
the hire purchase price
$1500 + $4200 = $5700
the amount saved by paying cash.
$5700 - $5500 = $200 saved by paying cash
Dion bought a new keyboard on hire-purchase. The cash price was $2400. He paid a 25% deposit followed by 24 monthly payments of $120 each. Calculate
the amount of the deposit paid
$2400 * .25 = $600
the total monthly payments made
$120 * 24 = $2880
the hire purchase price
$600 + $2880 = 3480
the difference between the cash price and the hire purchase price:
$3480 - $2400 = $1920
Mr. Baker bought a gas stove on hire-purchase. The cash price was $850. H
is 15% deposit followed by 18 monthly payments of $42 each.
amount of deposit paid: $ 850 * .15 = $127.50
total monthly payments: $42 * 18 = $756
hire purchase price: $127.50 + $756 = 977.50
difference between cash price and hire purchase price:
$883.50 - $850 = $33.50
***since the last one didn't have extra info to ask...I used the same information from the 2nd one***
Step-by-step explanation:
A circular plate has a crack along the line AB, as shown below:
A circular plate is shown. The center of the plate is labeled as A. B is a point on the circumference of the plate. A straight line joins the points A and B.
If A is the center of the plate, what is the segment AB called?
a. Tangent of the plate
b. Chord of the plate
c. Radius of the plate
d. Secant of the plate
Answer:
the awnser would be a tangent of the plate i hope this helps
Step-by-step explanation:
Answer:
c. Radius of the plate
Step-by-step explanation:
The radius of a circle is a segment that goes from the center of the circumference to any point of the perimeter of the circumference, as the plate is a circle, and you have a straight line going from the center of the circumference to a point in the perimeter it is a radius.
Norma sells sports equipment. She earns a salary of $240 per week plus commission of 3% on all
sales. One week she had sales of $3500. HOw much did she earn that week?
well, that week she earned her salary $240 plus 3% of 3500, hmmmm what is 3% of 3500?
[tex]\bf \begin{array}{|c|ll} \cline{1-1} \textit{a\% of b}\\ \cline{1-1} \\ \left( \cfrac{a}{100} \right)\cdot b \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{3\% of 3500}}{\left( \cfrac{3}{100} \right)3500}\implies 105~\hspace{7em} \begin{array}{|c|ll} \cline{1-1} total~salary\\ \cline{1-1} 240+105\\ 345 \\ \cline{1-1} \end{array}[/tex]
A sport's ball has a diameter of 29 cm. Find the volume of the ball.
4064.8 pi or 12763.6
The volume of a sports ball with a diameter of 29 cm can be calculated using the formula for the volume of a sphere, resulting in approximately 12,719 cubic centimeters for its volume.
Explanation:The volume of a sphere (such as a sports ball) can be determined using the formula V = 4/3πr³, where V represents volume and r represents the radius of the sphere. In the situation you described, the sports ball has a diameter of 29 cm which means the radius (r) is half of that or 14.5 cm. Plugging these values into the formula gives us:
V = 4/3π(14.5)³ ≈ 12,718.951 cm³
So, the volume of the sports ball is approximately 12,719 cubic centimeters.
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A merchant paid $3 each for golfing hats that he sold for $4 each. He therefore earned a
gross profit of $1 per hat. By what per cent was the cost price increased to provide for this
profit?
20%
O 30%
331%
300%
o none of these
Step-by-step explanation:
The cost increase is:
(4 - 3) / 3 × 100%
33%
The answer is none of these.
Answer:
Option E. None of these.
Step-by-step explanation:
A merchant paid $3 each for golfing hats and sold for $4 each. He earned a gross profit of $1 per hat.
We have to calculate the percent of increase in cost price Or percentage profit.
Percentage profit = [tex]\frac{\text{(Selling price - Cost price)}}{\text{cost price}}(100)[/tex]
= [tex]\frac{(4-3)}{3}.(100)[/tex]
= [tex]\frac{100}{3}=33.33[/tex]%
Which not in any option.
Therefore, Option E. None of these is the answer.
simplify the following question
Answer:
{(3^-1)(5^2)/(3^2)(5^-4)}^1/3= 25/3
Step-by-step explanation:
(3^-1)(5^2)/(3^2)(5^-4)
=(5^6/3^3)^1/3
=(5^6/27)^1/3
=∛5^6/27 (find the cube root)
=5^2/3
=25/3
IF YOU ANSWER THIS ILL GIVE YOU BRAINLY-EST
The graph below shows the distances, in miles, that a dragonfly can travel in a certain number of hours:
A graph titled Motion of a Dragonfly shows Time in hours on the x axis and Distance in miles on the y axis. The scale on the x axis shows number from 0 to 10 at increments of 2, and on the y axis, the numbers are shown from 0 to 200 at increments of 40. A straight line joins the ordered pairs 0, 0 and 2, 40 and 4, 80, and 6, 120
Based on the graph, what is the dependent variable, the equation relating the two variables, and how far will the dragonfly travel in 24 hours if it continues to fly at the same speed?
The dependent variable is distance, the equation is x = 20y, and the dragonfly will travel 360 miles.
The dependent variable is distance, the equation is y = 20x, and the dragonfly will travel 480 miles.
The dependent variable is time, the equation is x = 20y, and the dragonfly will travel 360 miles.
The dependent variable is time, the equation is y = 20x, and the dragonfly will travel 480 miles.
Answer:
it would be
The dependent variable is distance, the equation is y = 35x, and the dragonfly will travel 840 miles
Step-by-step explanation:
By the graph it can be seen that the distance a dragonfly can travel is dependent on the certain number of hours.
∴ Dependent variable : Distance (on y axis)
The equation of straight line is given by :-
, here m is the slope of the line and c is the initial value of y at x=0.
From the given graph, the slope of the given line passing from (0,0) and (2,70) will be :-
Also, the value of y = 0 at x=0.
∴ The equation of the given line :
At x=24,
∴ The dragonfly will travel 840 miles in 24 hours.
What is the perimeter of the pentagon?
Regular pentagon with each side labeled twelve feet.
Answer:
60 feet
Step-by-step explanation:
Pentagon = 5 sides
We need to find the perimeter of the pentagon and we know that one side is 12 feet so,
1 side = 12 feet
( Multiply by 5 to get 5 sides )
5 sides = 60 feet
Answer:
60 feet.
Step-by-step explanation:
A regular pentagon has 5 sides equal in length.
Therefore the perimeter of this one is 5 * 12 = 60 feet.
What is the volume of this cube?
Answer:
The answer is 3 Cubic centimeters
Step-by-step explanation:
Answer:
1 cubic centimeter
Step-by-step explanation:
The equation for the volume of a cube is Length x width x height
1 x 1 x 1 = 1
Volume is always cubic.
amber makes 8.50 an hour working in a boutique. what is her gross pay if she works 38 hrs in a week?
The answer I think is 1615
The gross pay if she works 38 hrs in a week will be $ 323.The pay of one hour is 8.50.
What is gross pay?The total amount of the money a peson obtained for his work as salary is the gross pay.
The amount amber makes in an hour = $ 8.50
The gross pay when she work 38 hrs in a week is found as;
Gross pay = 38 ×8.50
Gross pay =$ 323
Hence, the gross pay if she works 38 hrs in a week will be $ 323.
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