Answer:
(a) P(t) = 12100*(1.04^t)
(b) in 2008, estimate of population is 16560 (to the nearest integer)
Step-by-step explanation:
Population in 2000, P(0) = 12100
Growth rate = 4% each year
(a) function model for the t year after 2000 (exponential model)
P(t) = 12100*(1.04^t)
(b) for 2008,
P(2008-2000)
= P(8)
= 12100*(1.04^8)
= 12100 * 1.368569
= 16559.7
= 16560 (nearest integer)
If the rule is y=x+6, what is the y-coordinate for this ordered pair? (8,y)
Answer:
[tex]\boxed{y=14}[/tex]
Step-by-step explanation:
[tex]y=x+6[/tex]
[tex](x, y)[/tex]
The x coordinate is given.
[tex](8,y)\\x=8[/tex]
Plug x as 8.
[tex]y=8+6\\y=14[/tex]
Select the best answer for the question.
2. Find the sum of the first 8 terms of a geometric series in which a1 = 3 and r= 2.
=============================================
Work Shown:
a = 3 is the first term
r = 2 is the common ratio
Sn = a*(1-r^n)/(1-r) ... sum of the first n terms
S8 = 3*(1-2^8)/(1-2) ... sum of the first 8 terms
S8 = 3*(-255)/(-1)
S8 = 765
----------
We can generate the first 8 terms to get 3, 6, 12, 24, 48, 96, 192, 384. Each new term is found by multiplying the previous one by 2.
Then add them up to get 3+6+12+24+48+96+192+384 = 765. We get the same result.
Answer: Answer: 765
Work Shown:
a = 3 is the first term
r = 2 is the common ratio
Sn = a*(1-r^n)/(1-r) ... sum of the first n terms
S8 = 3*(1-2^8)/(1-2) ... sum of the first 8 terms
S8 = 3*(-255)/(-1)
S8 = 765
Please help me with this geometry question :((
Answer:
95
Step-by-step explanation:
GH = SR
SR = 30
FG =TS
TS = 39
104-39 =65
30+65 =95
posts does Tom need and what are the
dimensions of the fence?
I postdyards Therefore, Dimensions are
A bag of marbles can be shared equally among 3,
or 6 students with none left over. What's the least
amount of marbles that can be in the bag?
If there are 150 people born in the world every
minute; how many are bom every Hour? Day?
Year?
Answer:
1) 3 marbles
2) The number of people born every hour is 9000 people
The number of people born every day is 216,000 people
The number of people born every year = 78,840,000 people
Step-by-step explanation:
1) The given information are;
The number of students = 3 or 6
Amount of marbles remaining after sharing = None
Least amount of marbles that can be shared equally among the students = Condition each student gets one marble = 1 × 3 = 3 marbles
The least amount of marbles that can be shared equally among the students = 3 marbles
2) The number of people born int eh world every minute = 150 people
The number of minute in one hour = 60 minutes
∴ The number of people born every hour = 150 × 60 = 9000 people
Given that the number of hours in one day = 24 hours
∴ The number of people born every day = 9000 × 24= 216,000 people
Given that the number of days in one year = 365 days
∴ The number of people born every year = 216,000 × 365= 78,840,000 people
When a business company increased its profit from 20% to 25% the amount of profit increased to Rs 26,04,000. If the company decided to distribute 50 % bonus to its 20 employees equally from the increased amount of profit, how much bonus will each employee receive?
Answer:
1 Employee gets = Rs 13,020
Step-by-step explanation:
25% profit = Rs 26,04,000
Bonus is always 20% of the profit
So, Bonus:
=> 26,04,000/5
=> Rs 520,800
50% bonus from the profit = 520,800/2
=> Rs 260,400
This was divided equally among 20 employees.
So, Each Employ gets:
=> 1 Employee = 260,400/20
=> 1 Employee gets = Rs 13,020
Sam purchased 3 1/4 pounds of cheese. He used half of the purchased cheese for a casserole and 1/4 pound for sandwiches. Express as a mixed number the number of the number of pounds of cheese he has left.
Answer:
1 3/8 lbs.
Step-by-step explanation:
3 1/4 x 1/2 = 1 5/8
1 5/8-1/4=
1 5/8-2/8=
1 3/8
please help! sketch :y = 3x − 2 on a graph
Answer:
The graph of the equation y=3x-2 is shown in the picture below!!
Step-by-step explanation:
I hope this helps, if it does please mark brainliest!! Thank you!! Have a great day!
Which of the following are true statements about minerals?
I. Minerals are naturally occurring substances.
II. Each mineral has a specific chemical makeup.
III. Minerals can be solids, liquids, or gases.
IV. Rocks are made of minerals.
Answer:
1,2 and 4 are correct.
Step-by-step explanation:
A mineral cannot be a liquid or a gas.
Answer:
|, ||, |V
Step-by-step explanation:
Only I, II, and IV are true. Minerals are solid, naturally occurring inorganic substances, each having a specific chemical makeup. Each mineral also has a particular type of ordered internal structure. Rocks are made of two or more minerals.
PLEASE READ BEFORE PROCEEDING! I want you all to get the answer without wasting money so you can still answer with something but I will still place the answer at the end of the question. What are two factors of the composite number 46 other than 1 and 46? A. 3 and 7 B. 2 and 13 C. 2 and 23 D. 3 and 33 ANSWER : C. 2 and 23
Answer:
The answer is C:2 and 23
Step-by-step explanation:
Answer:
U have told the answer in the ques. then why r u asking question.
U know the answer already...
QUESTION 8
Simplify the expression
(5-4 (25)*)?
expressing the answer as a power of 5.
Step-by-step explanation:
Do you mean (5-4)*(25) or 5-4(25)
(5-4) * (25)
= 5^2
Or
5-4(25)
=5 - 100
=-95
?
Write an equation of the line passing through the given point and satisfying the given condition. Give the equation (a) in slope-intercept form and (b) in standard form.
(8,6); perpendicular to 2x - y = 4
(a) Write the equation of the line in slope-intercept form.
Answer:
y = -[tex]\frac{1}{2}[/tex]x + 10
Step-by-step explanation:
To find the equation of a line that passes through the point (8,6) and perpendicular to the equation 2x - y = 4, we will follow the steps below:
first write the equation 2x - y = 4 in a standard form
we will find the slope of our equation using this equation
2x - y = 4
y = 2x -4
comparing the above with
y = mx + c
m = 2
[tex]m_{1}[/tex][tex]m_{2}[/tex] = -1 ( slope of perpendicular equations)
2[tex]m_{2}[/tex] = -1
[tex]m_{2}[/tex] = -1/2
our slope m = -1/2
We can now go ahead and form our equation
[tex]x_{1}[/tex] =8 [tex]y_{1}[/tex] =6
y-[tex]y_{1}[/tex] = m (x-[tex]x_{1}[/tex])
y-6 = -[tex]\frac{1}{2}[/tex](x-8)
y-6 = -[tex]\frac{1}{2}[/tex]x + 4
y= -[tex]\frac{1}{2}[/tex]x+4+6
y = -[tex]\frac{1}{2}[/tex]x + 10
Which statements about this system of equations are true? Check all that apply 2 x minus 7 y = negative 13. Negative 2 x + 11 y = 1. The x-variable will be eliminated when adding the system of equations. The y-variable will be eliminated when adding the system of equations. The sum of the system of equations is 4 y = negative 12. x = 17 y = negative 3 There are infinitely many solutions to the system of equations.
Answer:
1 and 3.
Step-by-step explanation:
The given system of equations
[tex]2x-7y=-13[/tex] ...(1)
[tex]-2x+11y=1[/tex] ... (2)
Here, coefficients of x have same values with opposite signs.
The x-variable will be eliminated when adding the system of equations.
Add (1) and (2), we get
[tex]2x-7y-2x+11y=-13+1[/tex]
[tex]4y=-12[/tex]
Divide both sides by 4.
[tex]y=-3[/tex]
Put y=-3 in (1).
[tex]2x-7(-3)=-13[/tex]
[tex]2x+21=-13[/tex]
[tex]2x=-13-21[/tex]
[tex]2x=-34[/tex]
Divide both sides by 2.
[tex]x=-17[/tex]
So, the given system of equations have unique solution, i.e., (-17,-3).
Therefore, the correct options are 1 and 3.
If you can buy one can of pineapple chunks for $2 then how many can you buy with $10?(WITH PROPORTIONS PLEASE)
Answer:
5 cans
Step-by-step explanation:
$2/1 can = $10/x cans
x = 5
Answer:
5
Step-by-step explanation:
10 divided by 2 equalls 5
Question, listed below
Answer: 3/5
Step-by-step explanation:
This spinner has 5 sections, 3 of which are pink. Thus, you have a 3/5 chance to get pink.
Total outcomes: 5
Favored outcomes: 3
Hope it helps <3
Answer:
P = [tex]\frac{3}{5}[/tex]
Step-by-step explanation:
Total Parts = 5
Pink Parts = 3
Probability = [tex]\frac{No. OfPossible Outcomes}{No.OfFavourable Outcomes}[/tex]
P = [tex]\frac{3}{5}[/tex]
Hows everyone today? Heres the question of the day! 5 + 34 x 19
Answer:
I'm doing good. The answer is 651.
Step-by-step explanation:
Using the order of operations, you would multiply the 34 x 39=646. Then add 5 to it: 646+5=651.
Answer:
651Step-by-step explanation:
Using BODMAS Rule:
B = Bracket
O = Of
D = Division
M = Multiplication
A = Addition
S = Subtraction
Now, Let's solve
[tex]5 + 34 \times 19[/tex]
Multiply the numbers
[tex] = 5 + 646[/tex]
Calculate the sum
[tex] = 651[/tex]
Hope this helps!
(07.04 LC)What is the solution to the equation fraction 1 over 6x = 2?
Answer:
x = 12
Step-by-step explanation:
multiply both sides by the reciprocal of [tex]\frac{1}{6}[/tex], which is 6
x = 12
Answer: x is 12
Step-by-step explanation:
(10 points!) Help is appreciated!! :)
Answer:
D) f(x)=(1/2)^x, g(x)=(1/8)^x, h(x)=(2/3)^x.
Step-by-step explanation:
Michelle is changing her health care insurance and deciding between two different plans that charge the
same premium. Plan A has a $1,700 deductible with 20% coinsurance. Plan B has a $1,450 with 30%
coinsurance. Michelle had a total of $8,450 in medical bills last year. Under which plan would Michelle's
share have been less? Support your answer with mathematical calculations. Answer in complete
sentence.
plan B would share less
because, 20% of 1700 is 340 and 30% of 1450 is 435
I hope this helps!!
Answer:
plan A
Step-by-step explanation:
Plan A
1700-8450=6750*.20=1350+1700=3050
Plan B
1450-8450=7000*.30=2100+1450=3550
Answer=Plan A
PLEASE HELP!!!! I WILL GIVE BRAINLIEST AND LOTS OF POINTS!!! Please provide an explanation and answer only if you know the answer for sure. In the following diagram, BC is parallel to DE. What is the measure of angle х? **Angles are not necessarily drawn to scale.**
Answer:
x = 29
Step-by-step explanation:
If the lines are parallel
< CBA = < DAB due to the fact that they are alternate interior angles
42 = DAB
We also know that
DAB + BAC + CAE = 180 since they form a straight line
Substituting the given values
42+ 109 + x = 180
Combine like terms
151 + x = 180
151+x-151 = 180-151
x = 29
Can someone help with this.... thanks!
Answer:
3244.5
Step-by-step explanation:
LxW=A
You must buy bags of cement to pour a cement pad for a hot tub. You need to fill the pad frame which is a square frame measuring 8 feet long and 1 foot high. Each bag of cement will fill 5 cubic feet. How many bags will you need to buy to ensure enough to fill the entire frame?
please show all steps
Answer:
13
Step-by-step explanation:
volume of pad : 8x8x1=64
64/5=12.8
so you would need 13 bags
Answer:
Step-by-step explanation:
Since the pad frame is a square frame measuring 8 feet long and 1 foot high, we would determine its volume by applying the formula for determining the area of a cuboid which is expressed as
Volume = length × width × height
Volume of pad frame = 8 × 8 × 1 = 64 cubic feet
Since each bag of cement will fill 5 cubic feet, then the number of bags that you will need to buy to ensure enough to fill the entire frame is
64/5 = 16.8
Approximately 17 bags
HERE a question........
Answer:
6
Step-by-step explanation:
Split the shape into two shapes, one square and one triangle.
Find the area of the square and area of triangle.
area of square = 2 × 2 = 4
The height of the triangle is 4 - 2 = 2 units.
area of triangle = 2 × 2 × 1/2 = 2
Add the areas.
4 + 2 = 6
The area is 6 units².
Answer:
6
Step-by-step explanation:
It would be easier to divide this shape into a square and a triangle.
square = 2*2 = 4
triangle = [tex]\frac{2*2}{1/2}[/tex] = 2 (2 triangles make squares so 1 triangle is half)
And 4 + 2 = 6
Describe how the graph of the equation relates to the graph of y = x2.
f(x) = -x + 5)2
Answer:
Step-by-step explanation:
It's y = x^2, not y = x2. The graph of y = x^2 is a parabola with vertex (0, 0) and which opens up.
The graph of y = (x + 5)^2 has the same shape as that of y = x^2, but has been translated 5 units to the left.
The graph of the function f(x) = - (x + 5)² will rotate along the x-axis and shift 5 units to the left.
What is translation?There are four different kinds of translation: stretching, shrinking, rotating, and shifting.
When shifting, the entire graph is moved in the XY direction. When expanding and contracting a graph, we do so by a factor of k. When rotating a graph, we do so either clockwise or counterclockwise.
We know the graph of the equation y = x² is a parabola that opens upwards.
Now, the graph of equation f(x) = - (x + 5)² will first rotate 180° along the x-axis as there is a change in sign y and shift x + 5 = 0 ⇒ x = - 5 shift 5 units to the left.
learn more about translation here :
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The height of the trunk is 26 inches the length of the trunk is 50 inches. The tv is 54 inches wide. And 96 inches in height. Assuming the trunk is at least 96 inches deep can the tv fit into the trunk? Explain
Answer:
It states that assuming the trunk is 96" long. So with that information assuming the trunk is at least 96 inches deep and the tv is 96” long and the length of the trunk diagonal is 56.36” which is greater than the TV length 56”, so the TV will fit diagonally in the trunk.
Step-by-step explanation:
The length of the diagonal of the trunk is 56.356011 inches.
What is Pythagoras Theorem?A theorem stating that the square of the length of the hypotenuse of a right triangle is equal to the sum of the squares of the lengths of the other sides.
Given:
height of the trunk= 26 inches
length of the trunk= 50 inches
using Pythagorean theorem,
diagonal length of the trunk=√(height² +length²)
=√(26²+50²)
=√3176
=56.356011 inches
Hence, the length of the diagonal of the trunk is 56.356011 inches.
Learn more about this concept here:
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whats 1,112,433 rounded to nearest ten thousand
Answer:
1,110,000
Step-by-step explanation:
1,112,433
↑ this is the digit in the ten thousand place
We look at the digit below to determine if we need to round up
2 is less than 5 so we leave the digit in the ten thousands place alone
1,110,000
Answer:
1110000
Step-by-step explanation:
2 is smaller than 5 so it will round to 0 and so will everything under it.
A. There is no solution, and it is shown by region B
B. There is no solution
C. There is a solution, and it is shown by region C
D. There is a solution, and it is shown by region A
Answer:
A
Step-by-step explanation:
What is the value of x to the nearest tenth? The figure is not drawn to scale.
5.4
6.3
11.2
x
Answers:
A. x=2.1
B. x=3.4
C. x=9.6
D. x=13.1
Answer:
we need picture
Step-by-step explanation:
probaby d tho
Which expressions are equivalent to (5g+3h+4)⋅2
Select all that apply:
(5g+3h)⋅8
(5g+3h)⋅6
None of the above
Answer:
The answer is
None of the above
Hope this helps you
Answer:
None of the above
Step-by-step explanation:
Plss who can solve this plsss
Answer:
The answer is B.
Step-by-step explanation:
First you have to find the angle of ATB. Given that ∠TAB and ∠TBA have the same angle and the total angle in a triangle is 180°. So you have to subtract :
∠TAB + ∠TBA + ∠ATB = 180°
∠ATB + 62° + 62° = 180°
∠ATB + 124° = 180°
∠ATB = 180° - 124°
∠ATB = 56°
A tangent to a circle will always be 90°, so ∠TAO and ∠TBO are 90°. In a quadrilateral, total angles is 360°. So the angle of AOB is :
∠ATB + ∠TAO + ∠TBO + ∠AOB = 360°
56° + 90° + 90° + ∠AOB = 360°
236° + ∠AOB = 360°
∠AOB = 360° - 236°
∠AOB = 124°
Find how many quarts of 6% butterfat milk and 1% butterfat milk should be mixed to yield 75 quarts of 3% butterfat milk.
The mixture should contain quarts of the 6%
Answer:
30 gallons of 6% milk, and 45 gallons of 1% milk.
Step-by-step explanation:
x=quarts of 6% butterfat
First, write an equation.0.06x+0.01(75-x)=0.03*75
Multiply both sides by 100.0.06x*100+0.01*100(75-x)=100*0.03*75
Simplify6x+75-x=3*75
6x+75-x=225
Solve5x=225-75=150
5x=150
x=30
75-30=45
So, we need 30 gallons of 6% milk, and 45 gallons of 1% milk.
So, the mixture contains 60 quarts of 6% milk and 15 quarts of 1% milk
Linear Equation:The linear equations are defined for lines in the coordinate system. When the equation has a homogeneous variable of degree 1
Let [tex]x[/tex] quats and [tex]y[/tex] quats of 6% and 1% butterfat milk then,
[tex]x+y=75...(1)[/tex]
And
[tex]\frac{6x}{100} +\frac{y}{100} =375\\6x+y=375...(2)[/tex]
Now, solving equations (1) and (2) we get,
[tex]x=60\\y=15[/tex]
Learn more about the topic linear equations:
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