1. The equation, 687.5 = 550(1 + 0.05t), represents the amount of money earned on a simple interest savings account. What does the value 550 represent?

The value 550 represents the initial balance in the account, which means the account started with $550.
The value 550 represents the final balance in the account, which means the account balance ended with $550.
The value 550 represents the final balance in the account, which means the account balance started with $550.
The value 550 represents the amount of interest earned, which means $550 was added to the initial balance.

2. A savings account is opened with an initial deposit of $425.00. Determine the account balance after 9 years if the account earns 2.7% simple interest annually.

$3,928.28
$1,457.75
$528.28
$103.28

3. An arithmetic sequence begins with 56, 59, 62, 65, 68, …

Which option below represents the formula for the sequence?

f(n) = 56 + 3(n − 1)
f(n) = 53 + 3(n − 1)
f(n) = 56 + 3(n)
f(n) = 53 + 3(n + 1)

4. The equation, 816 = 600(1 + 9r), represents the amount of money earned on a simple interest savings account. Solve for r.

r = 0.04
r = 0.14
r = 0.26
r = 0.40

Answers

Answer 1

1. In the simple interest equation, 687.5 = 550(1 + 0.05t), A. The value 550 represents the initial balance in the account, which means the account started with $550.

2. The account balance of a savings account opened with an initial deposit of $425.00, after 9 years if the account earns 2.7% simple interest annually, is C. $528.28.

3. The formula for the arithmetic sequence which begins with 56, 59, 62, 65, 68, … is C. f(n) = 56 + 3(n).

4. The equation, 816 = 600(1 + 9r), represents the amount of money earned on a simple interest savings account, where r is A. r = 0.04.

What is the simple interest system?

The simple interest system operates without compounding the interest.

Compounding implies that interest attracts interest.

1) 687.5 = 550(1 + 0.05t)

Principal = $550

Final amount after t years = $687.50

Simple interest rate = 0.05 or 5%

Time, t = [$687.5/$550 - 1]/0.05

= 5 years

2) Principal = $425.00

Time = 9 years

Simple interest rate = 2.7%

Amount after 9 years = $528.28 ($425 x 1 + (9 x 2.7%)

3) Arithmetic Sequence:

f(n) = 56 + 3(n)

Where n = 1:

f(n) = 56 + 3(1)

= 56 + 3

= 59

Where n = 2:

f(n) = 56 + 3(2)

= 56 + 6

= 62

4) Principal = $600

Amount after 9 years = $816

Simple interest rate = r

r = ($816/$600 - 1)/9

= 0.04

= 4%

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Answer 2

Answer:

Answer below

Step-by-step explanation:

1. The value 550 represents the initial balance in the account, which means the account started with $550.

2. (C) 528.28

425.00 x  2.7% x 9 = 103.275

Then we add 103.275 to the initial deposit of $425.00

425.00 + 103.275 = 528.275

Therefore the answer is (C) 528.28

3. The answer for this one is (A) f(n) = 56 + 3(n − 1)

So, as we can see the first value is 56 and the common difference is 3 and the rule for the nth term is [tex]a_{n} =a_{1} +d(n-1)[/tex] .

Therefore, its 56 + 3(n − 1)

4. For this one we solve for r and using a calculator its (A) r = 0.04

5. Oh also he doesn't have this one but its (C) 102

An auditorium has 30 seats in the first row, 38 seats in the second row, 46 seats in the third row, and so on. How many seats are in the 10th row?

60

93

102

110

As we can see the common difference is 8.

Then we use the rule for nth term which is [tex]a_{n} =a_{1} +d(n-1)[/tex]

[tex]a_{n} =30+8(n-1)[/tex]

[tex]a_{n} =30+8n-8[/tex]

[tex]a_{n} =22+8(10)[/tex]

[tex]a_{n} =22+80[/tex]

[tex]a_{n} = 102[/tex]

So therefore, the answer is (C) 102.


Related Questions

Write the linear equation in slope intercept form

Answers

The given linear equation (1/3)x+ y=2 in the slope-intercept form is

y=(-1/3)x+2.

Explain about slope-intercept form?

Where m is the slope and b is the y-intercept, the slope-intercept form is represented as y = mx+ b. By utilizing y=mx+ b, a line is typically simple to graph. The point-slope form and standard form of linear equations are further types. Example 1: A line with a slope of 1/2 and a y-axis crossing at (0, -3). Calculate the line's equation. It is y = x/2 - 3 that determines the line's equation. Example 2: Determine the equation utilizing the y-y-intercept axis's and the horizontal line's slope intercept formula (0, 8).

Finding the slope between two points on a line and then solving for the y-intercept in the slope-intercept equation y=mx+ b allow us to build an equation for that line.

Given linear equation is:

(1/3)x+ y=2

The following is the slope-intercept form of the given linear equation:

y=(-1/3)x+2

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PLEASE HELP WITH THIS PROBLEM

Answers

Answer:

y -2 = 2(x +7)y -2 = -1/2(x +7)

Step-by-step explanation:

You want equations of lines parallel and perpendicular to y = 2x -1 through the point (-7, 2).

Slope

The given equation is written in slope-intercept form:

  y = mx + b

where m = 2, and b = -1.

The slope of the line is m, the x-coefficient. For the given line, the slope is 2.

A parallel line will have the same slope: 2.

A perpendicular line will have the opposite reciprocal slope: -1/2.

Point-slope equation

When you have a point and slope, it is useful to use the point-slope form of the equation for a line:

  y -k = m(x -h) . . . . . . line with slope m through point (h, k)

For both of the desired lines, the point is (h, k) = (-7, 2). Using this point and the above slopes, we have ...

equation of parallel line: y -2 = 2(x +7)equation of perpendicular line: y -2 = -1/2(x +7)

50 points please help asap

Answers

The domain is set of all real numbers and the range is y ≥ -4

How to determine the domain and the range of the function?

From the question, we have the following parameters that can be used in our computation:

The equation is given as

g(x) = |x + 4|

The domain

The above equation is an absolute value equation

An absolute value equation can take any value as its input

This means that the domain is the set of all real numbers

When represented as an interval, we have

The domain is (-∝, ∝)

Also, we have

-∝ < x < ∝

Hence, the domain is the set of all real numbers

The range

Here, we have

g(x) = |x + 4|

The above equation is an absolute value function

An absolute value function represented as

y = a|x - h| + k

Where

Vertex = (h, k)

So, we have

Vertex = (-4, 0)

Remove the x value

y = -4

Because the leading coefficient is positive, then the vertex is a minimum

i.e.

[-4, ∝)

Another representation is

y ≥ -4

So, the range is y ≥ -4

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Cuál es la diferencia entre la ley de senos y la ley de cósenos

Answers

The law of sines uses only two sides and the angles that are opposite them, while the law of cosines uses all three sides and only one of the sides opposite an angle

What are the laws about?

An angle's cosine and sine are equal to each other, with the sine of an angle equal to the cosine of its complementary angle.

The law of cosines uses all three sides and only one of the sides that are opposite an angle, whereas the law of sines only uses two sides and the angles that are opposite them. The sine ratio is used by the law of sines, and the cosine ratio is used by the law of cosines.

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Complete question

What is the difference between the law of sines and the law of cosines

Q9.
Rachel, Samina and Tom share £600 between them.
2
Rachel gets 2/5 of the £600
ima
Samina gets 1/4 of the money that is left over.
Tom gets the rest of the money.
Tom says,
"I would have got more money if we had shared the £600 equally between us."
Is Tom correct?
You must show how you get your answer.

Answers

No. Tom is not correct.

If the money were split equally everyone would've gotten £200.

But, if everyone went by the mentioned distribution, then,

Rachel would get = 2/5 x 600 = £280

Remainder money = 600 - 280 = £320

Samina would get = 1/4 x 320 = £80

Tom would get the remaining money = 600 - (280 + 80)

                                                              = 600 - 360

                                                              =  £240      

Since, £240 > £200, Tom would be incorrect in saying he would have had more money if he had split the money equally.

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Graph the equation. y=-x^2-6x-3

Answers

Answer:

Step-by-step explanation:

It is easier to graph using a free online graphing utility, such as DESMOS.  See the attached graph.  If the goal is to make a graph with pencil and graph paper, then select a few values of x  and put them into the equation to find y.

A talble of a few random values is attached.  

The graph includes both the generated DEMOS line (a downwards parabola) and the calculated points from the attached table.  Add the points to a blank graph and draw a line as best you can that connects all the points.  It is clear that a few more points with negative values of x would help with the line drawing.

Here is the graph for one equation in a system of equations:
a) Write a second equation for the system so it has infinitely many solutions.
b) Write a second equation whose graph goes through (0, 1) so the system so it has no
solutions.

Answers

The answer to each part is -

for  infinitely many solutions, the equation will be y = (-3/4)x + 4.for no solution, the equation will be y = (-3/4)x + 1.

What is the general form of a straight line? What is a mathematical function, equation and expression?straight line equation : The general equation of a straight line equation is given by

        y = mx + c    

        where -

        [m] : slope of line
        [c] : y - intercept                    

function : In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function.expression : A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.equation : A mathematical equation is used to equate two expressions.

Given is the graph of a straight line as shown.

[A] - A second equation for the system so it has infinitely many solutions can be the one that overlaps the line given. So the second equation can be written as follows. The points are -

(0, 4) and (4, 1)

Let the line be -

y = mx + c

m = (1 - 4)/(4 - 0) = -3/4

m = -3/4

So, the equation will be -

y = (-3/4)x + 4

[B] -

For no solution, the line will be parallel to the given line. The equation of the line is → y = (-3/4)x + 4. The equation whose graph goes through (0, 1) so the system has no solutions as : y = (-3/4)x + 1.

Therefore, the answer to each part is -

for  infinitely many solutions, the equation will be y = (-3/4)x + 4.for no solution, the equation will be y = (-3/4)x + 1.

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What is the total cost of the rental is Dana drives the car for 15 miles?

Answers

The total cost of the rental if Dana drives the car for 15 miles is $90.2

How to determine the total cost?

From the question, we have the following parameters that can be used in our computation:

C = 73.25 + 1.13m

Where

m = number of miles

This means that

m = 15

SO, we have the following equation

C = 73.25 + 1.13 * 15

Evaluate

C = 90.2

Hence, the total cost is $90.2

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"Dana and her family are going to Six Flags Great America the sum- mer after her Sophomore year. She is excited, because she will be doing all driving: After doing some complicated analysis, she calcu; lates that it will cost a certain amount per mile to pick up everyone and drive to the park, plus flat amount for everyone's admission tickets. The equation below models the total cost, €,and the variable m represents the number of miles driven: C = 73.25 + 1.13m

Apples cost $1.47 per pound. Danielle buys an apple that weighs 0.62 pound. To the nearest cent, how much does Danielle's apple cost?

Answers

Answer:

x = 0.91

Step-by-step explanation:

x = 1.47 x 0.62

x = 0.9114

round x = 0.9114 to the required place

x = 0.91

The college graduate is hired at a law firm with a $10,000 signing bonus, that will be deposited into the savings account. The firm also agrees to immediately pay off
$25,000 in student loan debt. What is the college graduate's new net worth?
O$16,081
O $21,167
O$13,833
O $33,097

Answers

The college graduate's new net worth is given as follows:

$13,833.

How to calculate the net worth?

The net worth of a company or of a person is given by the sum of the values of all assets of the person subtracted by the sum of the values of all debts of the person.

The assets if the student are given as follows:

Signing bonus: $10,000.Furniture: $14,278.Savings Account Balance: $4,337.Car Value: $14,950.Computer and Software: $11,774.

The liabilities of the student are given as follows:

Car Loan: $3,250.Credit Card Balances: $5,129.Student Loans: $58,097 - $25,000 = $33,097.

Thus the student's net worth is calculated as follows:

(10000 + 14278 + 4337 + 14950 + 11774) - (3250 + 5129 + 33097) = $13,863.

Which is closest to the third option among those given.

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Answer:

the correct answer is 12057

Step-by-step explanation:

in order to calculate net worth, add up the assets, and then subtract the debt. be sure to pay attention to details

heres an UNRELATED TO THE QUESTION example:

i have...

$500 in my savings

$20 in my wallet

but im $200 deep in credit card debt..

(add 500 + 20, then subtract 200)

net worth: 320

Which expression is equivalent to 10d+d-2d?
d+8
9d9d
1+8d1+8d
11d11d
pls help

Answers

Answer: 9d

Step-by-step explanation:

10d+d-2d = 9d

In a group of 500 people determine how many are suspects in the following scenario.

A wallet was stolen from an office in a building with 500 employees. The suspect was wearing black pants, a white button-down shirt, and a multicolored tie. In one of the offices in the building, the following data was collected.

30 people total in the office

22 wearing a white button down shirts

16 wearing black pants

7 wearing a multicolored tie

Using the data, how many suspects are there?

Answers

Using the given data, the number of suspects is; 7

How to find the intersection of mathematical sets?

The union of two sets A and B is the set of all those elements which are either in A or in B, and which is denoted as A ∪ B.

However, the intersection of two sets A and B is defined as the set of all elements which are common. The intersection of these two sets is denoted by A ∩ B.

Now, we are told that;

Total number of people in the office = 30 people

Number of people wearing a white button down shirts = 22

Number of people wearing black pants = 16

Number of people wearing a multicolored tie = 7

Thus, by definition of intersection of sets, if the suspect was wearing black pants, a white button-down shirt, and a multicolored tie, then;

The number of suspects =  A ∩ B ∩ C = 7 people

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55 is 40% of what number?

Answers

Answer:

55 is 40% of 137.5.

Step-by-step explanation:

To find the number that 55 is 40% of, you can divide 55 by 40% to get 137.5. This means that 55 is 40% of 137.5.

Jaime y rocío están pintando una pared con cubos de pintura idénticos. Si Jaime ha gastado 2/5 de su pintura y rocío,3/5. ¿Quién ha gastado más? ¿Qué cubo de pintura estará más lleno?

Answers

Answer:

Step-by-step explanation:

Rocio ha gastado mas. El cubo de Jaime esta mas lleno.

Rocio gasto otro poco mas porque 3 esta mas grande que 2

What is the axis of symmetry? What are the coordinates of the vertex?
y=-x² +8x+12

Answers

Answer:

axis of symmetry : x = 4

coordinates of the vertex : (4, 28)

Step-by-step explanation:

Before we start solving, let's define what the coefficients of this quadratic equation is.

[tex]y = ax^2 + bx + c[/tex]

[tex]y = -x^2 + 8x + 12[/tex]

a = -1

b = 8

c = 12

What is the axis of symmetry?

the vertical line that cuts through the vertex and makes the parabola into 2 symmetrical halvesequation: x=

To find the axis of symmetry, we need to find the x-coordinate of the vertex.

Equation for the x-coordinate of the vertex:

[tex]x = \frac{-b}{2a}[/tex]

Substitute the values of a, b, and c into this equation and compute.

[tex]x = \frac{-(8)}{2(-1)}[/tex]

[tex]x = \frac{-8}{-2}[/tex]

[tex]x = 4[/tex]

The axis of symmetry is x = 4

What is the vertex of a parabola?

the absolute highest or lowest point of the parabola

To find the x-coordinate of the vertex, you can use the formula: [tex]x = \frac{-b}{2a}[/tex].

To find the y-coordinate of the vertex, substitute the x-coordinate of the vertex and compute.

x-coordinate: 4

y-coordinate:

[tex]y = -x^2 + 8x + 12[/tex]

[tex]y = -(4)^2 + 8(4) + 12[/tex]

[tex]y = -(16) + 32 + 12[/tex]

[tex]y = -16 + 44[/tex]

[tex]y = 28[/tex]

y-coordinate: 28

The coordinates of the vertex is (4,28)

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A student claims that the graph shows the player earned more points from Level 2 to Level 3 than from Level 4 to Level 5. Is the student correct?
O No, the player earned 67 points from Level 2 to Level 3 and 69 points from Level 4 to Level 5
O No, the player earned 42 points from Level 2 to Level 3 and 44 points from Level 4 to Level 5.
O Yes, the player earned 67 points from Level 2 to Level 3 and 69 points from Level 4 to Level 5.
OYes, the player earned 42 points from Level 2 to Level 3 and 44 points from Level 4 to Level 5.

Answers

No, the player earned 42 points from level 2 to level 3 and 44 points from level 4 to level 5. Explanation: 87-45=42 and 156-112=44, meaning from level 4 to 5 the player got more points.



John can ride his bicycle at a rate of 14 miles per hour. Convert this rate to
feet per second.
O 20.53 feet per second
O 25.03 feet per second
O205.33 feet per second
O250.33 feet per second

Answers

correct answer is a) 20.53 feet per second

John can ride his bicycle at a rate of 20.53 feet per second.

How do I calculate feet per second?

Multiplying your foot-per-minute speed by 60. This is how many seconds there are in a minute. Your speed in feet per second is the outcome. For instance, 88 feet per second is equal to 5,280 feet per minute divided by the 60 seconds in a minute.

How long is a second in feet?

One-degree of longitude equals 288,200 feet (54.6 miles), one minute equals 4,800 feet (0.91 mile), and one second equals 80 feet.

Is feet per second velocity?

A unit of velocity and speed (scalar) is the foot per second (plural feet per second) (vector quantity, which includes direction). It represents the traveled or displaced distance in feet (ft) divided by the time (in seconds) (s).

[tex]\frac{14 miles}{1 h}[/tex] × [tex]\frac{5280 ft}{1 mile}[/tex]= [tex]\frac{73920 ft}{1 hr}[/tex]

[tex]\frac{73920 ft}{1 hr}[/tex] × [tex]\frac{1 hr}{60 min}[/tex]= [tex]\frac{1232 ft}{1 min}[/tex] ×[tex]\frac{1 min}{60s}[/tex]= [tex]\frac{20.53ft}{1s}[/tex]

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Josiah began earning an allowance each day. At the end of 6 days he buys a video game that costs $150 and has $102 left over. How much money does he earn each day in allowance

Answers

Answer:

42

Step-by-step explanation:

150+102=252

252/6=42

150+102=252 (allowance over six days)
252/6=42 (allowance per day)

3, 1.6, 2.8, 2.5, 1.7, 2.8



What is the mean absolute deviation of these numbers?

Answers

The mean absolute deviation of the given numbers is 0.5.

What is a mean?

The mean is the sum of all values divided by the total number of values.

The mean of the given number is obtained by dividing the sum of the values by its total number of value.

i.e.  (1.6+1.7+2.5+2.8+2.8+3)/6 = 2.4

Then taking the difference of each number from the mean.

i.e. (1.6-2.4), (1.7-2.4),(2.5-2.4),(2.8-2.4),(2.8-2.4),(3-2.4)

i.e. -0.8,-0.7,0.1,0.4,0.4,0.6

Take the sum of the absolute value of the above numbers

i.e. |-0.8+-0.7+0.1+0.4+0.4+0.6| = 3

Divide 3 by 6 to obtain mean absolute deviation.

i.e 3/6 = 1/2 =0.5

Hence, 0.5 is the mean absolute deviation of the given numbers.

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The wholesale price for a chair is $169. A certain furniture store marks up the wholesale price by 16%. Find the price of the chair in the furniture store. Round your answer to the nearest cent, as necessary.

Need Help!

Answers

The price of the chair in the furniture store is $94.

How to calculate the price of the chair in the furniture store?

Given that the wholesale price for a chair is $169 and that a certain furniture store marks up the wholesale price by 16%.

The price of the chair in the furniture store will be:

= $169 + (16% × $169)

= $169 + $27.04

= $196

The price is $194.

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In the diagram below, the point O is referred to as the _____.

Answers

Answer:

d. Orthocenter

Step-by-step explanation:

⭐What is an orthocenter?

the point of concurrency of the altitudes of a triangle

⭐What is an altitude?

a perpendicular segment from the vertex to the opposite side of the vertexcreates a right angle (90°)

We can see that point O is the point of concurrency of the altitudes of this given triangle because there are 90° formed by the perpendicular lines.

Thus, O is referred to as the orthocenter.

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Which of the following equations has a solution different from the rest? (1 point)


¾ x+5=− ¼


½ x−3= ½

−1/7 x−34=¼

−0.35x−0.52=1.93

Answers

Answer: (-1/7)x - 34 = 1/4

Step-by-step explanation: The solution for all other equations is 7 and for the 3rd equation, the solution is 239.75 or 959/4

1) 3/4 X +5=-1/4

x=-7

2) 1/2X - 3 = 1/2

x=7

3) x = -137×7 /4

4) x= -7

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write a system of three linear equations with three variables each that has the unique solution . write your equations in standard form. use the variables , , and with non-zero coefficients.

Answers

the system of three linear equations with three variables each that has the unique solution is 2x + 3y + 4z = 30, 3x + 4y + 5z = 45 and 5x + 6y + 7z = 75.

2x + 3y + 4z = 30

3x + 4y + 5z = 45

5x + 6y + 7z = 75

The first equation is 2x + 3y + 4z = 30. The coefficients for the variables are 2, 3 and 4 which are all non-zero, meaning that this equation has a unique solution.

The second equation is 3x + 4y + 5z = 45. The coefficients for the variables are 3, 4 and 5 which are all non-zero, meaning that this equation also has a unique solution.

The third equation is 5x + 6y + 7z = 75. The coefficients for the variables are 5, 6 and 7 which are all non-zero, meaning that this equation also has a unique solution.

Therefore, the system of three linear equations with three variables each that has the unique solution is 2x + 3y + 4z = 30, 3x + 4y + 5z = 45 and 5x + 6y + 7z = 75.

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The bears in Alaska are limited to a certain area to live due to the resources available for
food and shelter. After years, the number of bears living in the area is modeled by the function below. Using the function, find the number of bears after 17 years.

Answers

The number of bears living in the area after 17 years is; 22555

How to solve exponential functions?

We are given the function;

f(t) = 103/(1 + 26e^(-0.31t))

Where f(t) is a function that models the number of bears living in the area after t period of years.

Thus, to find the number of bears living in the area after 17 years, we will just substitute 17 for t in the given function to get;

f(17) = 103/(1 + 26e^(-0.31*17))

f(17) = 103/0.00456653759

f(17) ≈ 22555 bears

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20
Write "less" or "greater" in the blank.
972 is
than 792

Answers

Answer:greater

Step-by-step explanation:

Answer:

972 is greater than 792.

Erica takes out a loan to purchase a car. She borrows 12,000 at 12% annual percentage rate. Complete the statements. The graph is [Drop Down 1]. Erica's loan is a [Drop Down 2] loan. The equation which models this loan is [Drop Down 3]. If Erica pays off the loan in six years, she will have paid [Drop Down 4].

Answers

The graph is that of an exponential function.The equation which models the loan is of: A(t) = 12000(1.12)^t.If Erica pays off the loan in six years, she will have paid $23,686.

What is the exponential function?

An increasing exponential function is modeled as follows:

A(t) = A(0)(1 + r)^t.

The parameters of the exponential function are given as follows:

A(0) is the initial value of the exponential function.r is the growth rate of the exponential function, as a decimal.

She borrows 12,000 at 12% annual percentage rate, hence the initial value and the growth rate are given as follows:

A(0) = 12,000, r = 0.12.

Then the function that describes her loan is given as follows:

A(t) = 12000(1.12)^t.

After six years, the value of the loan is calculated as follows:

A(6) = 12000(1.12)^6 = $23,686.

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according to a jhu study published in the american journal of public health, widows live longer than widowers. consider the following survival data collected on 100 widows and 100 widowers following the death of spouse: years lived widow widower less than 5 25 39 5 to 10 42 40 more than 10 33 21 can we conclude at 0.05 level of significance that the proportions of widows and widowers are equal with respect to the different time periods that a spouse survives after the death of his or her mate?

Answers

To determine whether the proportions of widows and widowers living different lengths of time after the death of their spouse are equal, you can conduct a chi-squared test of independence. This test compares the observed frequencies (the number of widows and widowers living different lengths of time) to the expected frequencies, which are the frequencies that you would expect to see if the two variables (widowhood and length of time survived) were independent.

To perform the chi-squared test, you will need to calculate the chi-squared statistic and the corresponding p-value. If the p-value is less than 0.05, you can conclude that there is a significant difference between the proportions of widows and widowers living different lengths of time after the death of their spouse. If the p-value is greater than 0.05, you cannot conclude that there is a significant difference between the proportions of widows and widowers.

To calculate the chi-squared statistic and p-value, you will need to follow these steps:

Calculate the expected frequencies for each group (widows and widowers) in each time period (less than 5 years, 5-10 years, more than 10 years). To do this, you will need to multiply the total number of widows (100) by the proportion of widows in each time period, and the total number of widowers (100) by the proportion of widowers in each time period.

Subtract the expected frequencies from the observed frequencies and square the result for each time period.

Divide each squared difference by the expected frequency and sum the results. This is the chi-squared statistic.

To calculate the p-value, you will need to consult a chi-squared table or use a statistical software program to determine the p-value corresponding to the chi-squared statistic and the degrees of freedom (which is equal to the number of time periods minus 1).

If the p-value is less than 0.05, you can conclude that there is a significant difference between the proportions of widows and widowers living different lengths of time after the death of their spouse. If the p-value is greater than 0.05, you cannot conclude that there is a significant difference between the proportions of widows and widowers

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What is transpose of matrix

Answers

Step-by-step explanation:

it is the process of changing rows to columb

An airplane is preparing to land at an airport. It is 55800 feet above the ground and is descending at the rate of 3,500 feet per minute. At the same​ airport, another airplane is taking off and will ascend at the rate of 2,700 feet per minute. When will the two airplanes be at the same altitude and what will that altitude​ be? Use pencil and paper. Use two other methods to solve the problem. Explain which methods are easier to use and which are more difficult to use for the situation.

Answers

By solving a linear equation, it can be calculated that-

The two planes will be in the same altitude after 9 minutes at an altitude of 24300 feet

What is a linear equation?

At first it is important to know about linear equation

Equation shows the equality between two algebraic expressions by connecting the two algebraic expressions by an equal to sign.

A one degree equation is known as linear equation.

Here, the linear equation is

Let the time taken by the airplane to meet the same altitude be t minutes

An airplane is preparing to land at an airport. It is 55800 feet above the ground and is descending at the rate of 3,500 feet per minute.

So altitude of the first airplane after t minutes = 55800 - 3500t

At the same​ airport, another airplane is taking off and will ascend at the rate of 2,700 feet per minute.

Altitude of second airplane = 2700t

By the problem,

The linear equation is

55800 - 3500t = 2700t

2700t + 3500t = 55800

6200t = 55800

t = 9 minutes

Altitude = 2700 [tex]\times[/tex] 9 = 24300 feet

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How many leave were longer then 7 centimeters

Answers

Answer:

You could pick as many as you like. Ideally you would use all the leaves on the tree, but that would be rather a large number to measure, and your parents might not be very happy if you stripped the tree bare!So let's try 100 leaves.How to get a random sample?Here is one way you could get a random sample:Try taking all the leaves on one branch of the tree. After you've discarded any that are broken, then see how many there are. If there are less than 100, then get the leaves from another branch until you have more than 100. Then write a different number (starting with 1) on each leaf with a marking pen.Write the same numbers on small pieces of paper.Fold the pieces of paper.Put them into a hat and mix them up.Draw 100 pieces of paper (without looking) from the hat. The first 100 pieces of paper you draw would give you the numbers of the leaves to use in the experiment.The next thing you need to decide is how to measure the leaves, andhow accurate your measurements should be:How to measure?Keeping your leaves flat, use a ruler to measure the length of each leaf from the pointy part at one end of the leaf to the point where the leaf joins the stalk at the other end. Maybe your leaves bend a bit, but don't follow the main rib of the leaf as this would make measurement too difficult.Just measure in a straight line as shown in the following diagram:leafHow accurate?You should measure the length of each leaf to the nearest millimeter.Now you're ready to begin.Measure the length of each leaf to the nearest millimeter and record you results in a table, as follows:

Step-by-step explanation:

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