If you deposit $200 into an account that pays 9% annual interest compounded weekly, how much money willyou have after 8 years?

Answer:

  $28

Step-by-step explanation:

Each round trip will be double the price of a one-way trip, so will be ...

  2 × $3.50 = $7.00

Diego and his 3 friends will require a total of 4 round-trip tickets for a cost of ...

  4 × $7.00 = $28.00

Using the pattern, the next 4 numbers in the sequence would be

3.2; 4.0; 4.8; 5.6

The given sequence seems to follow a pattern where each term is obtained by adding 0.8 to the previous term.

hence this is an AP sequence, with a common difference of 0.8, adding 0.8 to each term gives the next consecutive term

2.4 + 0.8 = 3.2

3.2 + 0.8 = 4.0

4.0 + 0.8 = 4.8

4.8 + 0.8 = 5.6

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Based on the histograms, it appears that Los Angeles has a higher typical temperature than New York City during the summer month.

In statistics, a distribution is a way of showing how data is spread out or arranged. It describes the pattern of values in a dataset, and provides information on the frequency, range, and possible values of the data.

A distribution can take many forms, depending on the type of data being analyzed. For example, a distribution can be:

Symmetrical: where the data is evenly distributed around a central value, such as a normal distribution.

Skewed: where the data is not evenly distributed and is clustered more towards one end of the range than the other end, such as a positively skewed distribution.

Bimodal: where there are two distinct peaks in the data, such as in a distribution of test scores for a class with both high-performing and low-performing students.

There are many ways to represent a distribution, but some common methods include histograms, box plots, and probability density functions.

Understanding the distribution of data is important in statistics because it can help identify patterns, trends, and outliers in the data. It can also help inform decisions about which statistical methods to use when analyzing the data.

Here,

In the Los Angeles histogram, the peak of the distribution is around 80 degrees Fahrenheit, whereas in the New York City histogram, the peak is around 75 degrees Fahrenheit. However, the New York City histogram appears to have more variation in temperature than the Los Angeles histogram. This can be seen in the wider spread of the distribution, with a range of temperatures from around 65 to 95 degrees Fahrenheit, compared to the narrower range of temperatures in the Los Angeles distribution, which ranges from around 70 to 90 degrees Fahrenheit.

In other words, while the typical temperature in Los Angeles during the summer month is higher than in New York City, the temperature in New York City varies more widely from day to day.

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Answer:A unique line is defined by any two distinct (not identical) points. You have two distinct, which means you have a line. To find the equation for the line, we start with the slope-intercept equation for a line. This is only a template for a generic line, so we will have to find the specific values of m (slope) and b (y-intercept) that define your line.

The template: y = mx + b

b is the y-intercept, which, if you look at (0,–2), you will see is –2; it is where the line crosses the y-axis. Fill that value of b into our template to get:

y = mx – 2

Now, we only need the value of m, which is the slope. If you have two points on a line, you can calculate the slope of that line. The slope is the change (difference) of y over the change in x (difference) of x for two given points on the line. It's a fraction or ratio though sometimes it can be reduced to an integer.

So, taking your two points, you calculate the slope, m, in the following way:

(x1,y1) = (0,–2)

(x2,y2) = (5,1)

        y2 – y1                   1 – (–2)                1 + 2               3

m = ________   =     ________    =     ________  =    ____

       x2 – x1                      5 — 0            

Step-by-step explanation:

Answer:

C.

Step-by-step explanation:

We have five unshaded, 1 half of unshaded, and 1 shaded, Thus, It will be showed as \(\frac{1}{6}\)  ➗ \(2\)

Answer:

x = -4 and x = 6

Step-by-step explanation:

Factor using AC method.

1 × -24 = -24

Factors of -24 that add up to -2 are +4 and -6.

P(x) = (x + 4) (x − 6)

Therefore, zeroes of P(x) are x = -4 and 6.

The reasonable domain for the function is (b) x > 0

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

The function f(x) = 75x + 100

Where x is the number of hours

f(x) is the total cost.

In this case, the number of hours cannot be negative or 0

This means that the values of x in the function would be x > 0

These values of x are the domain

So, the reasonable domain for the function os (b) x > 0

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From the given below solution the value of m EF is 25%.

A circle graph, also known as a pie chart, is a type of data visualization that displays data as a circular graph, divided into sectors that represent numerical proportions.

Each sector of the circle represents a percentage or proportion of the total data set, and the size of each sector is proportional to its corresponding value.

To find m EF, we need to add the percentages of participation in sports E and F:

m EF = percentage of participation in sports E + percentage of participation in sports F

m EF = 11% + 14%

m EF = 25%

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Answer: $227,226.51

Step-by-step explanation:

First, we need to convert the period to weeks.

9 1/2 years = 9.5 years

1 year = 52 weeks

9.5 years = 494 weeks

Next, we can use the formula for the future value of an annuity:

FV = (PMT x (((1 + r/n)^(n*t)) - 1)) / (r/n)

where:

PMT = payment amount per period

r = annual interest rate

n = number of compounding periods per year

t = number of years

Plugging in the given values:

PMT = $300

r = 0.055 (5.5% expressed as a decimal)

n = 52 (compounded weekly)

t = 9.5 years = 494 weeks

FV = ($300 x (((1 + 0.055/52)^(52*494)) - 1)) / (0.055/52)

FV = $227,226.51

Therefore, the future value of the annuity is approximately $227,226.51.

The absolute value function for this problem is given as follows:

y = |x - 4| - 6.

An absolute value function of vertex (h,k) is defined as follows:

y = a|x - h| + k.

The coordinates of the vertex of the function are given as follows:

(4, -6).

The slope of 1 determines the leading coefficient a as follows:

a = 1.

Hence the function is given as follows:

y = |x - 4| - 6.

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The value x in the secant line using the Intersecting theorem is 4.

Intersecting secants theorem states that " If two secant line segments are drawn to a circle from an exterior point, then the product of the measures of one of secant line segment and its external secant line segment is the same or equal to the product of the measures of the other secant line segment and its external line secant segment.

From the figure:

First sectant line segment = ( x - 1 ) + 5

External line segment of the first secant line = 5

Second sectant line segment = ( x + 2 ) + 4

External line segment of the second secant line = 4

Using the Intersecting secants theorem:

5( ( x - 1 ) + 5 ) = 4( ( x + 2 ) + 4 )

Solve for x:

5( x - 1 + 5 ) = 4( x + 2 + 4 )

5( x + 4 ) = 4( x + 6 )

5x + 20 = 4x + 24

5x - 4x = 24 - 20

x = 4

Therefore, the value of x is 4.

Option C) 4 is the correct answer.

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The quotient of the given expression is 68.

What is the quotient?

A quotient in mathematics is the amount created by dividing two numbers. The term "quotient" is used frequently in mathematics and is sometimes known as the integer portion of a division, a fraction, or a ratio.

For the given problem,

To find out the estimation of the quotient, we first round the dividend and the divisor to the closest tens, hundreds, or thousands, and then divide the rounded figures to approximate the quotient.

Given, 3411 divided by 53

So, the rounding value becomes 3400 divided by 50,

then, 3400/50 = 68

Hence, the quotient is 68.

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The perimeter of the figure is the addition of the segments so in this case we have to find the sides so:

So:

So the perimeter will be:

The equation of the line that passes through the point (2, -2) and is parallel to the graph of y = -x - 2 is y = -x - 4.

What is the system of linear equations?

A system of linear equations is a group of one or more linear equations that can be solved by using a simultaneous equation or elimination method. Therefore, by using the substitution method and writing the solution of the system in terms of coordinate point (x, y) = (-1, 1).

To write the equation of a line in slope-intercept form (y = mx + b), we need to find the slope of the line (m) and the y-intercept (b).

To find the slope of the line, we can use the slope formula:

m = (y2 - y1)/(x2 - x1)

The equation y = -x - 2 is in slope-intercept form, so the slope of the line is -1.

The y-intercept is the point where the line intersects the y-axis. This point is (0, b), where b is the y-intercept.

Since the given line passes through the point (2, -2), we can substitute these values into the slope-intercept form of the equation to find the y-intercept:

-2 = -1 * 2 + b

Solving for b gives us:

b = -4

Therefore, the equation of the line that passes through the point (2, -2) and is parallel to the graph of y = -x - 2 is y = -x - 4.

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Answer:

x=10

Step-by-step explanation:

Answer:

x is 10 degrees

Step-by-step explanation:

180-90=90

(2x+3)+(5x+17) = 90

7x+20=90

7x=70

x=10

Accordingly, $1,700.00 would be your net income for the month if your taco truck company requires $4,500.00 in operating costs each month.

The amount that a company makes after reducing all of its costs from its total revenue is called net income, also known as operating earnings or bottom line. It serves as a gauge of a business's success and shows what more money is left over after the operating expenses have been covered. In order to calculate net profit, different costs are deducted, including the price of the goods sold, operating costs, accrued interest, taxes, and depreciation. A company that has a positive total income has made more money than it has spent, while one that has a zero net profit has lost money.

given

You must deduct all of your monthly expenditures from all of your monthly revenues in order to determine the taco truck business's net profit.

$6,200.00 is the total revenue.

Costs totaled $4,500.00.

Overall revenue minus total expenses equals net profit.

$4,500 - $6,200 is the net profit.

$1,700.00 = net profit.

Accordingly, $1,700.00 would be your net income for the month if your taco truck company requires $4,500.00 in operating costs each month.

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Answer:

83 kids total

Step-by-step explanation:

There are 54 girls on the playground. There are 25 fewer boys than girls on the playground. How many kids are on the playground?

girls = 54

boys = 54 - 25 = 29

54 + 29 = 83 kids total

kids that are on the playground are 83.

Merging objects and identifying them since one big bunch is done through addition. In arithmetic, addition is the technique of adding two or more integers together. The product can meet are the quantities that are included, and the outcome of the operation, or the final response, is referred to as the sum.

The total number of girls that are present is 54

The data given is that there are

25 fewer boys taht are4 present

The total number of boys will be

boys = 54 - 25 = 29

The number of kids that are present will be the total of boys and girls that are present.

Kids = boys + girls

54 + 29 = 83 kids total

The quantity of kids that are present in the playground is 83.

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9.  The stamp duty payable on a property with a purchase price of K45,000 is K1,350.

10. The stamp duty payable on a property with a purchase price of K150,000 is K7,500.

To calculate the stamp duty payable on properties with a purchase price of K45,000 and K150,000, we need to apply the corresponding rates of stamp duty based on the given information.

Given:

Value of Property:

Up to K35,000: Stamp Duty Rate - 2%

K35,000 to K70,000: Stamp Duty Rate - 3%

K70,000 to K140,000: Stamp Duty Rate - 4%

Over K140,000: Stamp Duty Rate - 5%

9. Calculate the stamp duty payable on properties whose purchase price is K45,000:

Since the purchase price of K45,000 falls within the range of K35,000 to K70,000, the stamp duty rate applicable is 3%.

Stamp Duty Payable = Purchase Price * Stamp Duty Rate

= K45,000 * 3%

= K45,000 * 0.03

= K1,350

Therefore, the stamp duty payable on a property with a purchase price of K45,000 is K1,350.

10. Calculate the stamp duty payable on properties whose purchase price is K150,000:

Since the purchase price of K150,000 is above K140,000, the stamp duty rate applicable is 5%.

Stamp Duty Payable = Purchase Price * Stamp Duty Rate

= K150,000 * 5%

= K150,000 * 0.05

= K7,500

Therefore, the stamp duty payable on a property with a purchase price of K150,000 is K7,500.

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Answer:

\(\huge\boxed{7.5 \ \text{cm}}\)

Step-by-step explanation:

When we scale a rectangle, we multiply both the length and the width by the scale factor - or a constant value.

We can use a proportion to see how much to multiply by, where we have \(\frac{\text{height}}{\text{length}}\).

\(\frac{5}{12} = \frac{x}{18}\)

To solve for this proportion, we can cross multiply to find the value of x.

\(18 \cdot 5 = 90\\\\90 \div 12 = 7.5\)

Therefore the height of the new rectangle is 7.5 cm.

Hope this helped!

Answer:

Step-by-step explanation:

Combine like terms, in this case there is only x

\(3x+2x-x+2x^2+4\\4x+2x^2+4\\2x^2+4x+4\\2(x^2+2x+2)\)

The interval of the graph at which Susan is running fastest is from point A ( 0 , 0 ) to B ( 10 , 3 )

Given data ,

Susan is running a 5k race. The graph of distance vs. time is shown

So , the slope of the first line is m₁

And , the slope of the second line is m₂

where the points are A ( 0 , 0 ) , B ( 10 , 3 ) , C ( 20 , 4 )

Now , slope of AB is

m₁ = ( 3/10 ) = 0.3

And , m₁ = 0.3 kilometers per minute

And , slope of BC is

m₂ = ( 4 - 3 ) / ( 20 - 10 )

m₂ = 1/10

m₂ = 0.1 kilometers per minute

Therefore , the interval is fastest at second line from B ( 10 , 3 ) , C ( 20 , 4 )

Hence , Susan is running fastest is from point A ( 0 , 0 ) to B ( 10 , 3 )

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The amount of depreciation to be recorded for year 2 using the straight-line method of calculating depreciation is $6,750.

Straight-line depreciation is calculated by dividing a fixed asset's depreciable base by its useful life. The depreciable base is the difference between an asset's all-in costs and the estimated salvage value at the end of its useful life.

By using the straight-line method of calculating depreciation, the annual depreciation expense would be calculated as follows:

= (Purchase Price - Salvage Value) / Useful Life

= ($60,000 - $6,000) / 8 years

= $54,000 / 8 years

= $6,750.

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The experimental (aka empirical) probability for your friend is 1/500 = 0.002 since she hit the bulls eye once out of 500 tries. This is a 0.2% chance.

To calculate the theoretical probability, we have to determine the area of each circle:

A = smaller circle area = pi*r^2 = pi*(0.25)^2 = 0.0625pi

B = larger circle area = pi*r^2 = pi*6^2 = 36pi

Divide A and B to get the theoretical probability

A/B = (0.0625pi)/(36pi) = 1/576 = 0.0017 approximately

This is fairly close to the 1/500 = 0.002 your friend got, which in my opinion means that her result is expected. She does seem a bit more skilled than expected since she managed to hit the bulls eye in 76 fewer tries (576-500 = 76). However, I would stick to the "result is expected" answer, since problems like this tend to have variability.

Answer:

Step-by-step explanation:

To find the new coordinate of a point after it has been scaled by a factor of 1/2, you can multiply the x- and y-coordinates of the point by 1/2.

For example, to find the new coordinate of point K', you can multiply the x-coordinate of K' (-8) by 1/2 to get the new x-coordinate, and multiply the y-coordinate of K' (8) by 1/2 to get the new y-coordinate. This gives you the new coordinate of K' as (-4,4).

You can use the same method to find the new coordinates of points L' and M'. The new coordinate of L' is (4,4) and the new coordinate of M' is (-2,4).

I hope this helps! Let me know if you have any questions.

Answer:

D. No solution

Step-by-step explanation:

Instead of solving everything I just plugged the numbers on equations and saw that for some of them the numbers satisfied one or two equation but not all.  Also for some I saw that a number set makes the equation have no solution. For eg, I plugged option B into equation 3 and got 1305=756 which is never true so it is no solution.

Hope you understand :)

a) On a coordinate plane, points are at (1, 48.1), (2, 50.9), (3, 62.4), (4, 67), (5, 76.5), (6, 83.9), (7, 86.8), (8, 88.1), (9, 79.2), (10, 69.9), (11, 59.5), (12, 49.6)  best represents the data.

This is because the data represents a set of paired values, with the months as the independent variable (x) and the average maximum monthly temperature as the dependent variable (y). A scatter plot is the appropriate graph for displaying this type of data.

Option a shows the correct placement of the data points on a scatter plot, with the x-axis representing the months and the y-axis representing the average maximum monthly temperature. The points are clearly organized in a sequence from January to December, with an upward trend in temperature from the winter months to the summer months, followed by a gradual decrease in temperature in the fall and winter months.

Option b has the correct range of temperatures, but the points are not arranged in a logical sequence and are scattered randomly across the graph. Option c also has a similar issue with random placement of points and does not reflect the actual values in the data set. Option d only has three points and does not represent the complete data set.

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Answer:

1a: 16

1b: 25

1c: 36

1d: 49

1e: 64

1f: 91

1g: 100

2a: 4

2b: 5

2c: 6

2d: 7

2e: 56 is not a perfect square

2f: 9

2g: 10

EXPERIMENT

PROBLEM

CONCLUSION

INFERENCE