Suppose Tommy walks from his home at (0, 0) to the mall at (0, 6), and then walks to a movie theater at (7, 6). After leaving the theater Tommy walks to the store at (7, 0) before returning home. If each grid square represents one block, how many blocks does he walk? Blank Tommy walks blocks.

The Annual Percentage Yield (APY) for the savings account with an APR of 6.2% and monthly compounding is approximately 6.22%.

To calculate the Annual Percentage Yield (APY) for a savings account that compounds monthly, we can use the following formula:

APY = (1 + r/n)^n - 1

Where:

r is the annual interest rate expressed as a decimal (6.2% = 0.062)

n is the number of times the interest is compounded per year (monthly compounding = 12)

Let's plug in the values and calculate the APY:

APY = (1 + 0.062/12)^12 - 1

APY = (1.0051667)^12 - 1

APY ≈ 0.062161 (rounded to five decimal places)

To convert the APY to a percentage and round it to two decimal places, we multiply the result by 100:

APY ≈ 6.22%

Therefore, the Annual Percentage Yield (APY) for the savings account with an APR of 6.2% and monthly compounding is approximately 6.22%. This indicates the effective annual rate of return you would earn on your savings, taking into account the compounding of interest over the course of a year.

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Answer:

Step-by-step explanation:

A) 2x - 8

x is called variable

Option 2

B) 5 - 4x  is not a equation

Option 1

The values of given conditions are:

1. median=70

2. Lower quartile=40

3. Upper quartile=87

4. Range=170

5. IQR=47

6. Lower outlier threshold=-20.5

7. Upper outlier threshold=160.5

In statistics, the median is the value separating the higher half from the lower half of a dataset. In other words, it is the middle value of a dataset when it is ordered in ascending or descending order.

Here,

To find the median time, we need to arrange the data in order from least to greatest and find the middle value.

10, 15, 30, 35, 40, 40, 45, 55, 60, 62, 64, 64, 66, 68, 70, 70, 72, 75, 75, 80, 82, 84, 90, 90, 105, 110, 120, 180

There are 28 values in the data set, so the median is the average of the 14th and 15th values:

Median = (70 + 70)/2

= 70

To find the lower quartile, we need to find the median of the lower half of the data set:

10, 15, 30, 35, 40, 40, 45, 55, 60, 62, 64, 64, 66, 68

There are 14 values in the lower half, so the lower quartile is the median of these values:

Lower quartile = (40 + 40)/2

= 40

To find the upper quartile, we need to find the median of the upper half of the data set:

72, 75, 75, 80, 82, 84, 90, 90, 105, 110, 120, 180

There are 14 values in the upper half, so the upper quartile is the median of these values:

Upper quartile = (84 + 90)/2

= 87

To find the range, we subtract the smallest value from the largest value:

Range = 180 - 10

= 170

To determine if there are any outliers in the data set, we need to calculate the interquartile range (IQR):

IQR = Upper quartile - Lower quartile

= 87 - 40

= 47

Any value that is more than 1.5 times the IQR below the lower quartile or above the upper quartile is considered an outlier.

Lower outlier threshold = Lower quartile - 1.5IQR

= 40 - 1.547

= -20.5

Upper outlier threshold = Upper quartile + 1.5IQR

= 87 + 1.547

= 160.5

To draw a box-and-whisker plot, we need to plot a box from the lower quartile to the upper quartile, with a line inside the box representing the median. We then draw whiskers extending from the box to the smallest and largest values that are not outliers. The box extends from 40 to 87, with a line at 70 representing the median. The whisker on the left extends to the smallest non-outlier value of 10, and the whisker on the right extends to the largest non-outlier value of 120.

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Answer:

1, 2, 4, 8, 16, 32, 64

Step-by-step explanation:

1, 2, 4, 8, 16, 32, 64

Answer:

y=\(\frac{3}{2} x+3\)

Step-by-step explanation:

Generally the value of y would be 34 because same two square roots of n multiplying each others would equal to n by the definition.

\( \large \boxed{ \sqrt{a} \times \sqrt{a} = ( \sqrt{a} )^{2} = a}\)

Although it is easy to predict the solution of y-value, I will be showing you how to solve the radical equation for y-term which will be useful.

\( \large \boxed{ \sqrt{a} \times \sqrt{b} = \sqrt{ab} }\)

So from the equation, convert √34 × √y to √34y

\( \large{ \sqrt{34} \times \sqrt{y} = 34} \\ \large{ \sqrt{34y} = 34}\)

Then we square both sides to get rid of the square root.

\( \large{ {( \sqrt{34y} )}^{2} = {34}^{2} } \\ \large{34y = 1156}\)

Divide both sides by 34 so we can finally isolate the y-term.

\( \large{ \frac{34y}{34} = \frac{1156}{34} } \\ \large \boxed{y = 34}\)

Hence the value of y is 34.

Answer

x=-2

y=2

Explanation

Step 1

isolate y in equation (1) and replace in equation (2)

now, replace equation (3) in equation(2)

Step 2

now replace the x value in equation (3) to find y

I hope this helps you

Answer:

-4

Step-by-step explanation:

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

m=(-7-(-19))/(-2-1)

m=(-7+19)/-3

m=12/-3

m=-4

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The total cost of principal, interest, down payment, and amount of intangible tax is $871,596.00.

Down payment:

Down payment=452,000×0.2

Down payment=90,400

Principal:

Principal=452,000−90,400

Principal=361,600

Total interest

30years=30×12months=360months

Total interest=($2167.98×360)−361,600

Total interest=$780,472.80-$361,600

Total interest=$418,872.80

Intangible tax:

Intangible tax=$361,600×0.002

Intangible tax=$723.2

Total cost of principal, interest, down payment, and intangible tax:

=$90,400+$361,600+$418,872.80+$723.2

=$871,596.00

Inconclusion the total cost of principal, interest, down payment, and amount of intangible tax is $871,596.00.

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Answer:

1/9

Step-by-step explanation:

Answer:

check the file above and got any confusion then comment it .

hope this helped you,

That we added a real number (2/3) and subtracted a real number (3), but the imaginary part of the result is still (5/3)i.

First, let me clarify what 1ị represents. In mathematics, the imaginary unit i is defined as the square root of -1. Therefore, 1ị means 1 times the imaginary unit i.

To write three more equations for 1ị that are all true and all different, we can use the fact that i satisfies the equation i^2 = -1. We can also use the fact that any multiple of i, such as 2i, 3i, and so on, is also an imaginary number. Finally, we can use the fact that adding or subtracting real numbers to or from an imaginary number does not affect the imaginary part of the number.

Here are three possible equations for 1ị:

(2 + 1/3)i = 1ị + 2i

Explanation: We can add 2 times the imaginary unit i to 1 times the imaginary unit i to get 3 times the imaginary unit i, which is equal to (2 + 1/3) times the imaginary unit i.

(-1/3)i = 1ị - 4/3i

Explanation: We can subtract 4/3 times the imaginary unit i from 1 times the imaginary unit i to get -1/3 times the imaginary unit i.

(5/3)i = 1ị + 2/3 + 3i - 3

Explanation: We can add 2/3 and 3i - 3 to 1 times the imaginary unit i to get (5/3) times the imaginary unit i. Notice that we added a real number (2/3) and subtracted a real number (3), but the imaginary part of the result is still (5/3)i.

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After w weeks, the expression for the total cost of games is 250 + 4000w.

What is Expression?

Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation. An expression's structure is as follows: Expression: (Math Operator, Number/Variable, Math Operator)

An algebraic expression known as a linear expression has terms that are either constants or variables raised to the first power. Alternatively put, none of the exponents can be greater than 1.

As an illustration, while x is a variable raised to the first power, x2 is a variable raised to the second power. An illustration of a constant is 5.

Linear expressions are what the two expressions are. One variable raised to the power of one makes up a linear expression.

250 + 1000g.

Where: g(w) = 4w.

250 + 1000(4w).

250 + 4000w.

Therefore, number of games produced in w weeks is 250 + 4000w.

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Answer:

the answer should be B, 1/12 > 0.083

The statement is true. Simple random sampling is a method of selecting a sample from a larger population in which every member of the population has an equal chance of being selected for the sample.

This method is associated with a high degree of generalizability because it ensures that the sample is representative of the population. When a sample is representative of the population, the findings from the sample can be generalized to the entire population with a high level of confidence.

Simple random sampling is considered to be one of the most reliable and unbiased methods of sampling, making it a popular choice in many research studies.

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Answer:1442.41086

Step-by-step explanation:

So first it would continue 3% higher so not 18% higher

first 3% higher 1200

So 1236

Then 3% of 1236

so 1273.08

The 3% of that to 1311.2724

The 3% of that to 1350.61057

The 3% of that to 1400.39889

The 3% of that to 1442.41086

Answer:

1251

Step-by-step explanation:

Use the formula for calculating compound interest A=P0ert where A is the unknown, P0=1200, r=0.014, and t=3. Substitute the values into the formula and simplify.

A=1200e0.014⋅3

A=1200e0.042

A=1200(1.0428...)

A=1251.47

Therefore, after three years, the balance in the account is A≈1251.

C

The mistake the arrangers made is in the second inequality. They considered the number of caps to be bought should be at least 5 times greater than the number of blouses, not the other way around. The correct inequality should be C

The correct answer is D) The first inequality should be s + h ≤ 1800.

The organizers made an error in the first inequality. The given inequality 10s + 8h ≤ 1800 represents the total cost of buying shirts (10s) and hats (8h) should be less than or equal to $1800. However, this does not take into account the fact that the organizers want to buy at least 5 times as many shirts as hats, as indicated by the second inequality h ≥ 5s.

The correct way to represent this constraint is by using the equation s + h ≤ 1800, which ensures that the total number of shirts and hats purchased does not exceed $1800 in cost. This is because the organizers want to make sure that the total cost of shirts and hats combined does not exceed the budget of $1800.

The Area of Trapezium is 50, 267 mm².

We have,

base 1 = 224 mm

base 2 = 77 mm

Height = 334 mm

Now, Area of Trapezium

= 1/2 (Sum of parallel side) x height

= 1/2 (224 + 77) x 334

= 1/2 x 301 x 334

= 50, 267 mm²

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Answer:

12

Step-by-step explanation:

factors of 24- 1*24, 2*12, 3*8, 4*6

factors of 36-1*36, 2*18, 3*12, 4*9,

factors of 72-1*72, 2*36, 3*24, 4*18, 6*12, 8*9,

The greatest common factor is 12

Answer:

\(-16\)

Step-by-step explanation:

\(f(5)=4(5)-1=19 \\ \\ g(5)=2^5+3=35 \\ \\ (f-g)(5)=f(5)-g(5)=19-35=-16\)

Answer:

32

Step-by-step explanation:

\( \sqrt{54 \\ } \)

Step-by-step explanation:

The answer is in the image above

Answer:        

Step-by-step explanation:

Apply  distributive property.

5i(3+2i)

5i⋅3+5i(2i)

Multiply

3 by 5.15i+5i(2i)

Multiply

5i(2i) .

15i + 10i2

Simplify each term.

Rewrite

i2 as −1.15i+10⋅−1

Multiply

10 by −1.15i−10

Reorder

15i and −10.−10+15i

hope it helps :)

Answer:

Y= x+2 " substituting value of y

Step-by-step explanation:

Y=5x-4y = 5x - 4

or, 5x - 4(x+2) = 5x - 4

or, 5x - 4x+ 8 = 5x-4

or, x +8 = 5x - 4

or, 0= 5x - x - 4-8

or, 0= 4x - 12

The type of sampling described in the scenario is c. Cluster sampling.

Cluster sampling involves dividing the population into clusters or groups and randomly selecting some of these clusters. In this case, the state is subdivided into counties, which act as the clusters. Seven counties are selected at random, and further sampling is concentrated on these seven counties.

Cluster sampling is commonly used when it is not feasible or practical to directly sample individuals from the entire population. Instead, clusters or groups are randomly selected, and then a sample is taken from each of these clusters. This approach can be more efficient and cost-effective compared to other sampling methods, especially when the clusters are internally heterogeneous.

In this scenario, the initial random selection of the seven counties represents the cluster sampling, as subsequent sampling is focused on these specific clusters.

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26 square feet is the exact surface area of the composed figure with two cones.

The composed figure has two cones.

The formula to find the surface area of cone is A=πr(r+√h²+r²))

Where r is radius and h is height of the cone.

Both the cones have radius of 1 ft and height of 2ft and 4 ft.

Area of cone 1=3.14×1(1+√4+1)

=3.14(1+√5)

=10.16 square fee

Area of cone 2=3.14×1(1+√16+1)

=3.14(1+√17)

=16.01square feet.

Total surface area = 10.16+16.01

=26.17 square feet.

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The weekend hours that can be purchase now that the weekday hours have increased is 16 hours.

From the information, the initial cost is given as $2 per hour. When the cost is tripled,the new cost will be:

= $2 × 3

= $6

The total cost of weekday parking hours will be:

6(26 - x) + (10 × x) = 220

156 - 6x + 10x = 220

Collect like terms

4x = 220 - 156

4x = 64

x = 64/4

x = 16 hours.

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The answer would be aas

Answer:

The answer to this question would be AAS (Angle-Angle-Side)

Step-by-step explanation:

The triangles both have the same side and another same angle as shown in the image, but to make this AAS, there must be another angle, which is the center point of both triangles... these are the same because they are vertical angles.

Answer:

We have, 80% × x = 100

or,

80/100×1 x = 100

Multiplying both sides by 100 and dividing both sides by 80,

we have x = 100 × 100/80

x = 125

If you are using a calculator, simply enter 100×100÷80, which will give you the answer.

Answer:

It's the same as increasing by 100%

Answer:

the subject of the story