can you please help me

Answers

Answer 1

The relation between arcs AB and CD and angle x is:

[tex]m\angle x=\frac{1}{2}(m\hat{AB}+m\hat{CD})[/tex]

Substituting with data, we get:

[tex]\begin{gathered} m\angle x=\frac{1}{2}(110+160) \\ m\angle x=\frac{1}{2}\cdot270 \\ m\angle x=135\text{ \degree} \end{gathered}[/tex]


Related Questions

The beam of light house makes one complete revolution every 20 seconds how many degrees is it rotate in five seconds

Answers

Answer:

Every 5 seconds the beam rotates 90 degrees;

[tex]90^{\circ}[/tex]

Explanation:

Given that the beam of a lighthouse makes one complete revolution every 20 seconds.

one complete revolution is;

[tex]360^{\circ^{}}[/tex]

The rate of rotation is;

[tex]r=\frac{360^{\circ}}{20}=18^{\circ}\text{ per second}[/tex]

The number of degrees it will rotate in 5 seconds is;

[tex]\begin{gathered} x=5\times r=5\times18^{\circ}per\text{ second} \\ x=90^{\circ} \end{gathered}[/tex]

Therefore, every 5 seconds the beam rotates 90 degrees;

[tex]90^{\circ}[/tex]

The graph of an inequality has a closed circle at 4.3, and the ray moves to the right. What inequality is graphed?x > 4.3x ≥ 4.3x ≤ 4.3x < 4.3

Answers

From the question, we were told that the graph of an inequality has a closed circle at 4.3 and the ray moves to the right also.

We are to determined the inequality that is graphed from the options.

From what is seen, we want x to be greater than or equal to 4.3.

The closed circle tells us that it can be equal to 4.3. The ray to the right tells us that we are looking for numbers larger than 4.3.

So the inequality graphed is that of x is greater than or equal to 4.3

So the correct option is the second option which is x ≥ 4.3.

Ivanna bought a desktop computer and a laptop computer. Before finance charges, the laptop cost $450 less than the desktop. She paid for the computers using two different financing plans. For the desktop the interest rate was 6.5% per year, and for the laptop it was 9% per year. The total finance charges for one year were $409. How much did each computer cost before finance charges?

Answers

Solution:

According to the problem, the laptop costs $450 less than the desktop. Let x the cost of the laptop, then we get the following equation:

[tex]x\text{ + 450 = cost of the desktop}[/tex]

now, the total finance charge of $409 is from 9% of the cost of the laptop and 6.5% of the cost of the desktop. According to this, we get the following equation:

[tex]0.09(x)+0.065(x+450)=409[/tex]

Applying the distributive property, we get:

[tex]0.09x+0.065x+29.25=409[/tex]

now, placing like terms on each side of the equation, we get:

[tex]0.09x+0.065x=409-29.25[/tex]

this is equivalent to:

[tex]0.155x\text{ = 379.75}[/tex]

solving for x, we get:

[tex]x\text{ = }\frac{379.75}{0.155}=2450[/tex]

this means that:

The cost of the laptop is x = 2450

and

The cost of the desktop is x+450 = 2450 +450 = 2900.

So that, we can conclude that the correct answer is:

Cost of the laptop = 2450

Cost of the desktop =2900.


desktop price be x
laptop price (x+450)
For the desktop the interest rate was 9% per year,
Interest = 9%x
and for the laptop it was 6% per year.
Interest = 6%(x+450)
The total finance charges for one year were $300

9%x + 6%(x+450) = 300
9x+6(x+450) = 300*100
9x+6x +2700=30000
15x= 30000-2700
15x=27300
x= 1820

which table represents points on the graph of h (x) = 3 root -x+2

Answers

Given the function :

[tex]h(x)=\sqrt[3]{-x+2}[/tex]

To find which table represents the given function, let x with the numbers given in the table and find the corresponding value of h(x)

So, when x = 0

[tex]h(0)=\sqrt[3]{0+2}=\sqrt[3]{2}[/tex]

Now look to the tables which table has y = 3root of 2

We can deduce that the first two tables are wrong

Now, substitute with x = 2

[tex]h(2)=\sqrt[3]{-2+2}=\sqrt[3]{0}=0[/tex]

So, this result will be agreed with the third table

so, the answer is: Table 3

I need the answer to number 2 please answer it like the paper so that I can understand it better. Please

Answers

Elijah made an error of subtracting the numbers and not including the imaginary sign (letter i)

The correct midpoint is (6, 3i)

Explanation:

The two points are 8 + 4i and 4 + 2i

Elijah got the midpoint as (2, 1).

To determine Elijah's error, let's calculate the midpoint of a complex number:

[tex]\text{Midpoint = (}\frac{a\text{ + b}}{2}),\text{ (}\frac{c\text{ + d}}{2})i[/tex]

let 8 + 4i = a + ci

let 4 + 2i = b + di

The real numbers will be added together. The imaginary numbers will also be added together.

substituting the values in the formula:

[tex]\begin{gathered} \text{Midpoint = (}\frac{8\text{ + 4}}{2}),\text{ (}\frac{4\text{ + 2}}{2})i \\ \text{Midpoint = }\frac{12}{2},\text{ }\frac{6}{2}i \\ \\ \text{Midpoint = (6, 3i)} \end{gathered}[/tex]

Elijah made an error of subtracting the numbers. Also Elijah didn't include the letter representing the imaginary numbers (i).

The correct midpoint is (6, 3i)

Suppose tortilla chips cost 32.5 cents per ounce what would a bag of chips cost if it contained 20oz round the answer to the nearest cent

Answers

The Solution:

Given:

cost per ounce = 32.5 cents

Required:

To find the cost of a bag of chips that contains 20 oz.

Recall:

ounce = oz

[tex]\begin{gathered} 1\text{ oz}=32.5\text{ cents} \\ \\ 20\text{ oz }=20\text{ ounces} \\ \\ Cost\text{ of 20 oz is :} \\ \\ 20\times32.5\text{ cents=650 cents }=\text{\$}6.50 \end{gathered}[/tex]

Therefore, the correct answer is $6.50

Find the z-score location of a vertical line that separates anormal distribution as described in each of the following.a. 15% in the tail on the rightb. 40% in the tail on the leftc. 75% in the body on the rightd. 60% in the body on the left

Answers

Answer:

a. z = 1.0364

b. z = -0.2533

c. z = -0.6745

d. z = 0.2533

Explanation:

We can represent each option with the following diagrams

So, for each option, we need to find a z that satisfies the following

a. P(Z > z) = 0.15

b. P(Z < z) = 0.40

c. P(Z > z) = 0.75

d. P(Z > z) = 0.60

Then, using a normal table distribution, we get that each value of z is

a. z = 1.0364

b. z = -0.2533

c. z = -0.6745

d. z = 0.2533

Evaluate: 4+8/2 x (6 - 3)163325

Answers

We have to evaluate the expression:

[tex]\begin{gathered} 4+\frac{8\cdot(6-3)}{2}_{} \\ 4+\frac{8\cdot3}{2} \\ 4+\frac{24}{2} \\ 4+12 \\ 16 \end{gathered}[/tex]

To solve this, we have to solve the operations in this order:

- First, the operations within the parenthesis.

- Second, the multiplications and quotients.

- Lastly, the additions and substractions.

Answer: 16

What is the radius of Earth, in meters, written as a single-digit number multiplied by a power of 10?

Answers

Given:

The Radius of earth = 6,378,100 meters

To find:

The radius of earth in single-digit number multiplied by power of 10.

Step by step solution:

R = 6,378,100 meters

R = 6.3781 × 10^6

From here we have calculated the value of the radius in terms of single digit number.

What is the logarithmic form of 9^2=81

Answers

Given the equation:

[tex]9^2=81[/tex]

Let's write the equation in logarithmic form.

To write in logarithmic form, take the logarithm of base 9 of the right side of the equation equal to the exponent (2).

Thus, we have:

[tex]log_981=2[/tex]

Therefore, the logarithmic form of the given equation is:

[tex]log_981=2[/tex]

• ANSWER:

[tex]log_981=2[/tex]

May 10, 12:38:01 AMA survey was given to a random sample of 195 residents of a town todetermine whether they support a new plan to raise taxes in order toincrease education spending. Of those surveyed, 39 respondents saidthey were in favor of the plan. At the 95% confidence level, what is themargin of error for this survey expressed as a proportion to thenearest thousandth? (Do not write +).Submit AnswerAnswer:

Answers

It is given as,

x= 39.

n= 195.

Estimate for sample proportion= 0.75

Z critical value(using Z table)=1.96

Confidence interval formula is ,

[tex]p\pm Z\times\frac{\sqrt[]{p\times(1-p)}}{\sqrt[]{n}}[/tex][tex]0.75\pm1.96\times\frac{\sqrt[]{0.75\times(1-0.75)}}{\sqrt[]{195}}[/tex][tex]0.75\pm1.96\times\frac{0.433}{1.396}[/tex][tex]1.358\text{ , 0.14206}[/tex]

Lower limit for confidence interval=0.14206

Upper limit for confidence interval= 1.38.

The margin error is determined as,

[tex]1.38-0.14206=\text{ 1.237.}[/tex]

For each value of w, determine whether it is a solution to w < 9.Is it a solution?W5?YesNo75914

Answers

Answer: 5 and 7

Explanation:

we need to determine if a number is a solution to

[tex]w<9[/tex]

That reads as "w is less than 9, and not equal to 9"

so we find in our options wich ones are less than 9. The options are:

• 7

,

• 5

,

• 9

,

• 14

The ones smaller or less than 9 are: 5 and 7

The ones greater than 9 or equal to 9 (the ones that are not the solution) are: 9 and 14.

So the solutions are: 5 and 7

Does the point (–48, –47) satisfy the equation y = x − 1?

Answers

To find the answer to the question, we will substitute "-48" into "x" and "-47" into "y" and see if the equation holds true or not.

[tex]\begin{gathered} y=x-1 \\ -47\stackrel{?}{=}-48-1 \\ -47\neq-49 \end{gathered}[/tex]

Thus, the point (-48, -47) does not satisfy the equation y = x - 1.

AnswerNo

As smart phones have grown in popularity, regular cell phones have fallen out of favor. As aresult, one electronics retailer estimates that 20% fewer regular cell phones will be sold everyyear. If the retailer sells 605,390 regular cell phones this year, how many will be sold 3 yearsfrom now?If necessary, round your answer to the nearest whole number.

Answers

309960

Explanation

exponential decay function is a function that shrinks at a constant percent decay rate. The equation can be written in the form

[tex]\begin{gathered} y=a(1-b)^x \\ \text{where a is the initial cost} \\ b\text{ is the decrease percnetage ( in decimal)} \\ x\text{ is the time} \end{gathered}[/tex]

so

Step 1

Let

[tex]\begin{gathered} a=605390 \\ b=20\text{ = 0.2} \\ x=\text{ 3 ( years)} \end{gathered}[/tex]

replace

[tex]\begin{gathered} y=a(1-b)^x \\ y=605390(1-0.2)^3 \\ y=605390(0.8)^3 \\ y=605390(0.512) \\ y=309959.68 \\ \text{rounded to the whole number} \\ y=309960 \end{gathered}[/tex]

therefore, the answer is

309960

I hope this helps you

what is 6q - q please

Answers

To solve this expression, we just have to subtract because they are like terms

[tex]6q-q=5q[/tex]

Hence, the answer is 5q.

vertex, domain and range, and zeros in this parabola, could you tell me them?

Answers

The vertex, domain, range and zeros of the parabola are  -2, (-∞, +∞), (-2,+∞) and -0.5 and 2.5 respectively.

What is parabola ?

Parabola is a curve like shape, in which any point is equal distance from a fix point.

The vertex of the parabola in the given graph is -2.

The domain of parabola is all the possible values of x,

in the given graph, the value of x is from -∞ to +∞

So the domain of parabola is (-∞, +∞)

The range of parabolas is all the values of y corresponding to values of x,

in the graph, the value of y≥-2

The range of parabola is (-2,+∞)

Zeros are values on the x-axis, which are 0.

So there are two zeros, -0.5 and 2.5.

To know more about Parabola on:

https://brainly.com/question/4074088

#SPJ1

Six office desks that are 7 1/12 feet long are to be placed together on a wall that is 42 7/12 feet long. Will they fit on the wall? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. Yes, if no more than a total of foot is needed for spacing between desks. (Type an integer or a simplified fraction.) B. No, they do not all fit along the wall.

Answers

Answer:

[tex]\text{Yes, If no more than a total of }\frac{1}{12}foot\text{ is needed for spacing between desks}[/tex]

Explanation:

Given that six office desks that are 7 1/12 feet long are to be placed together.

The length of the six desks is;

[tex]\begin{gathered} 6\times7\frac{1}{12} \\ =6\times7+6\times\frac{1}{12} \\ =42\frac{6}{12} \end{gathered}[/tex]

Given that the wall is 42 7/12 feet long.

Then the length of the six desks is shorter than the length of the wall.

[tex]42\frac{7}{12}-42\frac{6}{12}=\frac{1}{12}[/tex]

Therefore, it will fit on the wall if no more than a total of 1/12 foot is needed for spacing between desks.

[tex]\text{Yes, If no more than a total of }\frac{1}{12}foot\text{ is needed for spacing between desks}[/tex]

The ratio between the radius of the base and the height of a cylinder is 2:3. If it's volume is 1617cm^3, find the total surface area of the cylinder.

Answers

Solution:

The ratio of the radius to the height of the cylinder is

[tex]2\colon3[/tex]

Let the radius be

[tex]r=2x[/tex]

Let the height be

[tex]h=3x[/tex]

The volume of the cylinder is given below as

[tex]V=1617cm^3[/tex]

Concept:

The volume of a cylinder is given below as

[tex]V_{\text{cylinder}}=\pi\times r^2\times h[/tex]

By substituting values, we will have

[tex]\begin{gathered} V_{\text{cylinder}}=\pi\times r^2\times h \\ 1617=\frac{22}{7}\times(2x)^2\times(3x) \\ 1617=\frac{22}{7}\times4x^2\times3x \\ 1617\times7=264x^3 \\ \text{divdie both sides by 264} \\ \frac{264x^3}{264}=\frac{1617\times7}{264} \\ x^3=\frac{343}{8} \\ x=\sqrt[3]{\frac{343}{8}} \\ x=\frac{7}{2} \end{gathered}[/tex]

The radius therefore will be

[tex]\begin{gathered} r=2x=2\times\frac{7}{2} \\ r=7cm \end{gathered}[/tex]

The height of the cylinder will be

[tex]\begin{gathered} h=3x=3\times\frac{7}{2} \\ h=\frac{21}{2}cm \end{gathered}[/tex]

The formula for the total surface area of a cylinder is given below as

[tex]T\mathrm{}S\mathrm{}A=2\pi r(r+h)[/tex]

By substituting the values, we will have

[tex]\begin{gathered} TSA=2\pi r(r+h) \\ TSA=2\times\frac{22}{7}\times7(7+\frac{21}{2}) \\ TSA=44(7+\frac{21}{2}) \\ TSA=44\times7+44\times\frac{21}{2} \\ TSA=308+462 \\ TSA=770cm^2 \end{gathered}[/tex]

Hence,

The total surface area of the cylinder is = 770cm²

ASGC is also considering adding tennis racquets to the product lines it produces. This would require a $500,000 modification to its factory as well as the purchase of new equipment that costs $1,600,000. The variable cost to produce a tennis racquet would be $55, but John thinks that ASGC could sell the racquet at a wholesale price of $75. John thinks that if ASGC sells the racquet at a lower price, many other retailers might decide to carry it. However, the vice president of ASGC thinks that the tennis racquet is a superior product and that ASGC should sell it for $99.99 to upscale country clubs only. The higher price would give a prestige image. Questions based on the above (10 pts)7. If ASGC produces tennis racquets, how many racquets must it sell at $75.00 and $99.99 to break even? •Breakeven units at 75.00 _______________________________. •Breakeven units at 99.99 _______________________________. •Which price do you recommend and why? __________________________

Answers

Solution

[tex]undefined[/tex]

Write the following Equation as a EXPONENTIAL equation do not simplify your answer

Answers

Answer:

[tex]V=14^5[/tex]

Explanation:

Given the logarithmic equation:

[tex]\log_{14}(V)=5[/tex]

The relationship between the logarithm and exponential forms is given below:

[tex]\log_ba=c\implies b^c=a[/tex]

That is:

• The base (b) in the logarithmic form becomes the base of the exponent.

,

• The answer (c) in the logarithmic form becomes the exponential form.

Thus, the given equation in exponential equation is:

[tex]V=14^5[/tex]

12 ft-What is the volume of atriangular pyramid that is12 ft tall and has a basearea of 5 square ft?cubic feet

Answers

EXPLANATION:

Given;

We are given a triangular pyramid with the following dimensions;

[tex]\begin{gathered} Base\text{ }area=5ft^2 \\ Height=12ft \end{gathered}[/tex]

Required;

We are required to calculate the volume of this pyramid from the dimensions given.

Step-by-step solution;

The volume of a triangular pyramid is given by the formula;

[tex]Volume=\frac{1}{3}Bh[/tex]

Where the variables are;

[tex]\begin{gathered} B=base\text{ }area \\ h=height \end{gathered}[/tex]

The volume now will be calculated as follows;

[tex]\begin{gathered} Volume=\frac{1}{3}\times5\times12 \\ \\ Volume=20 \end{gathered}[/tex]

Therefore,

ANSWER:

[tex]V=20ft^3[/tex]

Volume = 20 cubic feet

Calculate the value of the expression 3x-7 when x = 2

Answers

Given:

The expression is,

[tex]3x-7[/tex]

To find:

The value when x = 2.

Explanation:

Substitute x = 2 in the given expression, we get

[tex]\begin{gathered} 3(2)-7=6-7 \\ =-1 \end{gathered}[/tex]

Thus, the value of the expression when x = 2 is -1.

Final answer:

The value of the expression when x = 2 is,

[tex]-1[/tex]

The area of Square A is 36 square cm. The area of Square A’(A Prime) is 225 ᶜᵐ². What possible transformations did the square undergo? 

Answers

A possible transformation is a scale. Since the area changed by

[tex]\frac{225}{36}=\frac{25}{4}[/tex]

then a possible transformation was a scale by 25/4. A scale by a ratio bigger than one is a dilation.

Then the answer is B.

-Solve the system of equations – X – 8y = 49 and —x – 2y = 7 by combining theequations.

Answers

ANSWER

x = 7

y = -7

EXPLANATION

Given:

- x - 8y = 49 ..........(equ 1)

- x - 2y = 7 ............(equ 2)

Desired Outcome

The values of x and y.

Multiply Equation 2 by -1

[tex]equ\text{ 2}\times-1\Rightarrow x+2y\text{ = -7 ............}(equ\text{ 3})[/tex]

Add Equation 1 with Equation 3

[tex]\begin{gathered} -\text{ x - 8y = 49} \\ x\text{ + 2y = -7} \\ ------ \\ -6y\text{ = 42} \\ y\text{ = }\frac{42}{-6} \\ y\text{ = -7} \end{gathered}[/tex]

Solve for x from equation 3

[tex]\begin{gathered} x\text{ + 2y = -7} \\ x\text{ + 2}(-7)\text{ = -7} \\ x\text{ - 14 = -7} \\ x\text{ = -7 + 14} \\ \text{x = 7} \end{gathered}[/tex]

Hence, the values of x and y are 7 and -7 respectively.

In general, the y-intercept of the function F(x) = a • bx is the point _____.A.(0, b)B.(0, a)C.(0, x)D.(0, 1)

Answers

The y-intercept of a function is the point where the function crosses the y axis and where x = 0

[tex]\begin{gathered} We\text{ are asked to find the y intercept of an exponential function, y = a*b}^x \\ When\text{ x = 0, b}^x\text{ =1 for any value of b} \\ We\text{ are then left with y = a*1 when x =0} \end{gathered}[/tex]

The y intercept is therefore given by:

(0,a) --> option B

Geometry Question: Given segment EA is parallel segment DB, segment EA is congruent to segment DB, and B is the mid of segment AC; Prove: segment EB is parallel to segment DC (reference diagram in picture)

Answers

Construction: Join ED.

The corresponding diagram is given below,

According to the given problem,

[tex]\begin{gathered} AE=BD \\ AE\parallel BD \end{gathered}[/tex]

Since a pair of opposite sides are parallel and equal, it can be claimed that quadrilateral ABDE is a parallelogram.

Then, as a property of any parallelogram, it can be argued that,

[tex]\begin{gathered} AB=DE \\ AB\parallel DE \end{gathered}[/tex]

Given that B is the mid-point of AC,

[tex]\begin{gathered} AB=BC \\ AB\parallel BC \end{gathered}[/tex]

Combining the above two results,

[tex]\begin{gathered} BC=DE \\ BC\parallel DE \end{gathered}[/tex]

It follows that ABCD also forms a parallelogram.

Again using the property that opposite sides of a parallelogram are equal and parallel. It can be claimed that,

[tex]\begin{gathered} EB=DC \\ EB\parallel DC \end{gathered}[/tex]

Hence proved that segment EB is parallel to segment DC,

[tex]\vec{EB}=\vec{DC}[/tex]

9. You want to be able to withdraw the specified amount periodically from a payout annuity with the given terms. Find how much the account needs to hold to make this possible. Round your answer to the nearest dollar. Regular withdrawal: $4500 Interest rate: 4.5% Frequency quarterly Time: 24 years Account balance: $

Answers

This is a question on Future Value of Annuity. There is a present sum from which withdrawals will be made. We therefore employ the formulae thus:

[tex]PVA=\text{PMT(}\frac{1-(1+\frac{i}{m})^{-mn}}{\frac{i}{m}}\text{)}[/tex]

Where:

PVA = Present Value of Annuity

PMT = Periodic sum

i = Interest Rate

n = Number of interest periods

m = Compunding frequency

Substituting, we have:

[tex]\begin{gathered} P\text{VA}=4500(\frac{1-(1+\frac{0.045}{4})^{-(4\times24)}}{\frac{0.045}{4}}) \\ P\text{VA}=263,340 \end{gathered}[/tex]

PVA = $263,340

Can you please help me out with a question

Answers

the figure is composed by a 4 triangles and a cube

to find the area of a triangle we need the base and height. the base is 15ft

to find the height we mut use the pithagorean theorem

h= height of the traingle

[tex]h^2=(15ft)^2+(7.5ft)^2[/tex]

resolving we have

[tex]h=\sqrt[\square]{281.25}\text{ = 16.78 aprox}[/tex]

and now he have all the measures

each triangle at the top has an area equal to

[tex]A=\frac{16.78ft\cdot15ft}{2}=127.78sq\text{ ft}[/tex]

now we multiply that by 4: 127.78sq ft*4=503.1 sq ft

for the bottom part, there are 5 squares of side 15ft

each square has an area = 15ft*15ft = 225 sq ft

multipliying that by 5: 225sqft*5=1125 sq ft

the total area is 1125 sq ft+503.1sqft=1628.1 sq ft rounded is 1628 sq ft

For the volume of the piramid, we use

[tex]V=\frac{1}{3}A\cdot h[/tex]

where A is the area of the base and h is the height

so volume of piramid:

[tex]V=\frac{1}{3}\cdot225\text{sqft}\cdot15ft=1125ft^3[/tex]

for the volume of the cube we multiply the side length 3 times:

[tex]V\mleft(cube\mright)=(15ft)^3=3375ft^3[/tex]

Adding the two volumes:

1125ft^3+3375ft^3=4500 cubic feet

A triangle has angles that are 38º and 47º. Find the measure of the third angle. 177 ° 95° 133 °85 °

Answers

hello,

As we know, a triangule has 3 angles and the sum of them must be equal to 180º. So, let's calculate the question:

38 + 47 + x = 180

85 + x = 180

x = 180 - 85

x = 95º

hi! I have the answers to A. AND B. which are k=1.243% for a and k= 0.20% for bWhere y is the population after t time, A is the initial population and k is the growth constant.Therefore, for each case, we calculate the value of k:(a)t = 4y = 1375000A = 1309000Solving for k:1375000=1309000⋅ek⋅4e4k=137500013090004k=ln(13750001309000)k=ln(13750001309000)4k=0.01229≅0.0123→1.23%(b)t = 4y = 1386000A = 1375000Solving for k:1386000=1375000⋅ek⋅4e4k=138600013750004k=ln(13860001375000)k=ln(13860001375000)4k=0.00199≅0.002→0.20%(c)To compare we calculate the quotient between both periods:

Answers

Solution

The population growth rate formula is given as

[tex]P=P_0e^{rt}[/tex]

Where P is the final population

Po= is the initial population

P is the final population

r is the rate

t is the time taken

If it has been calculated that the growth rate from 2012 to 2016 is 1.23% and from 2016 to 2020 is 0.20%

(c) From these two growth rates, it can be seen that 1.23% is greater than 0.20%, we can conclude that the growth rate from 2012 to 2016 is greater than the growth rate from 2016 to 2020

(d) If the current growth rate continues,, the time it will take for the population to reach 1.5million is as shown below:

[tex]\begin{gathered} P=1500000 \\ P_0=1386000 \\ r=0.20 \\ t=\text{?} \\ P=P_0e^{rt} \\ P=P_0e^{0.2t} \end{gathered}[/tex]

This becomes

[tex]\begin{gathered} 1500000=1386000e^{0.2\times t} \\ \frac{1500000}{1386000}=e^{0.2t} \\ 1.08225=e^{0.2t} \\ \ln e^{0.2t}=\ln 1.08225 \\ 0.2t=\ln 1.08225 \end{gathered}[/tex][tex]\begin{gathered} t=\frac{\ln 1.08225}{0.2} \\ t=\frac{0.0790432}{0.2}=0.395 \end{gathered}[/tex]

Answer Summary

(a) The growth rate from 2012 to 2016 is 1.23%

(b) The growth rate from 2016 to 2020 is 0.20%

(c) In comparison, the growth rate from 2012 to 2016 is greater than the growth rate from 2016 to 2020

(d) The time it will reach the 1.5 million if the current growth rate continues is 0.395years

Other Questions
Two of the angles in a triangle measure 56 and 6 what is the measure of the third angle I would like to work through how to determine whether this is even, odd or netiher. Part DWhat if the second six-sided die is replaced by an eight-sided die. How can you change the table to show the sample space for rolling a six-sideddie and then an eight-sided die? Explain. 2. Kylie wants to earn $100 a month. She rakes leaves for $7 an hour and cleans windows for $6 an hour. Kylie cannot work more than 30 hours a week. Write the system of inequalities that represents this situation. Be sure to define your variables. What is the answer to 720x+(-20x) marina recently visited a psychologist to receive help with formulating questions for the next time she visits the doctor. her specific focus was on having a clear sense of her goals, sharing her concerns and symptoms without anxiety, and being sure to get more information. the psychologist is engaged in what type of intervention in marina's case? factor the equation 3x^2y^2-15xy^2 determine the distance that light travels in a year.How long does it take light to travel 10 km? how long does it take sound to travel 10 km? How long does it take light to travel from the moon to earth? if 5 ibs apples cost $2.99, how much would 3 ibs cost? Evaluate the expression.sin2 360 + cos2 360 Use the following figure and information to complete the proof. Given: mn Line l is a transversal of lines m and n. Prove: 35 6. Let the measurement of ZBAC be 86 & ZBAD be 52. What is the measurement of ZDAC? 1380 24 52 340 What country is the earliest middle eastern culture was sumei? Monica has to solve the following problem: Warren travels 4,200 meters every hour. How far does he travel in four hours?Which picture gives Monica all the information she needs to solve the problem? Which is the correct translation?TO NEED O enseignerO avoir besoin deO se passerO terminer the nurse is caring for a patient in the icu who has been diagnoses with multiple organ dysfunction syndrome (mods). the nurse's plan of care should include ... Read the excerpt from "Annabel Lee," by Edgar Allan Poe.It was many and many a year ago, In a kingdom by the sea,That a maiden there lived whom you may know By the name of Annabel Lee;And this maiden she lived with no other thought Than to love and be loved by me.How does the rhythm of the excerpt support the theme of the poem?The rhythm is consistent, and Poe celebrates the predictability of history.The rhythm is consistent, and Poe celebrates the simplicity of young love.The rhythm is unpredictable, and Poe warns readers to guard their hearts.The rhythm is unpredictable, and Poe warns readers of natures strength. my brain is divided, and each half is housed in a new body. both resulting people have my character and apparent memories of my life. what happens to me? i need help with math What is the factorization of the trinomial below?x^3 - 2x - 35x