Find the mean, median, and mode of 3, 5, 1, 5, 1, 1, 2, 3, 15.

The total amount of interest Alexandra will earn, after taxes is, $51.05.

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Now, To calculate the total amount of interest Alexandra will earn, we first need to calculate the annual interest rate.

Since the APR is 4%,

Hence, we can calculate the quarterly interest rate by dividing 4 by 4 = 1%.

Next, we need to calculate the number of quarters in 3 years which is,

⇒ 3 x 4 = 12 quarters.

Now, Using the formula for compound interest, we can calculate the balance of Alexandra's account at the end of the 3-year period:

Balance = Principal (1 + (rate/n))ⁿˣ

where, P = Principal = $400

r = Annual interest rate = 4%

n = Number of times interest is compounded per year = 4 (quarterly)

x = Number of years = 3

Plugging in the values,

Balance = $400 (1 + (0.04/4))¹²

            = $463.81

Next, we need to calculate the total amount of interest Alexandra earned, which is the difference between the balance and the principal:

Total interest earned = $463.81 - $400 = $63.81

Since Alexandra will be taxed on 20% of the interest, we need to calculate the amount of tax she will pay:

Tax = 20% of $63.81

      = $12.76

Finally, we can calculate the total amount of interest Alexandra will earn after taxes:

Total interest earned after taxes = $63.81 - $12.76 = $51.05

Therefore, the correct answer is, $51.05.

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Answer:

40.58

Step-by-step explanation:

Answer:

Option D: 900

Step-by-step explanation:

Please kindly check the attached files for further explanation.

Final answer:

The best option for a college based on an SAT score of 910 is the one with an average SAT score closest to this, which is option D with an average score of 900.

Explanation:

Based on your SAT score of 910, the college with the average SAT score closest to your score would likely be your best option. Among the options given:

A. 1470

B. 1420

C. 1190

D. 900

Option D, with an average SAT score of 900, represents the college that is most aligned with your score of 910 and would probably be the most attainable based on the SAT score alone. However, keep in mind that colleges consider a mix of factors including GPA, community service, and other inputs beyond just SAT scores for admissions.

The ratio of votes Rick received to the votes Jamal received, in simplest form, is 5:6. This was calculated by dividing Rick's 50 votes by Jamal's 60 votes and then reducing the resulting fraction.

The question asks for the ratio of the number of votes Rick received to the number of votes Jamal received in a sixth-grade class president election. To find this ratio, we simply divide the number of votes each candidate received. Rick received 50 votes, and Jamal received 60 votes.

Now we divide Rick's votes by Jamal's votes: 50 ÷ 60. When we reduce this fraction, we divide both the numerator and the denominator by their greatest common divisor, which is 10 in this case. So, the simplified ratio is 5:6. This means that for every 6 votes Jamal received, Rick received 5 votes.

Answer:add the scatter plot

Step-by-step explanation:

Answer:

p - 14.5 =  53

p = 67.5

Step-by-step explanation:

53 + 14.5 = 67.5

Answer:

Example: 45+45

Example: 100+80

Step-by-step explanation:

Any two angles that sum to 90 degrees will create a set of complementary angles, and any two angles that sum to 180 degrees will create a set of supplementary angles.

Answer:

can you describe how much an apple and an orange costs?

Step-by-step explanation:

Answer:

if Noah has $10 to spend at the market then depending on the cost of apples and oranges would be weather or not he can get 7 apples and 2 oranges

Step-by-step explanation:

Answer:

x = 39

Step-by-step explanation:

This is pythagoras

x = √36² + 15²

x = √1296 + 225

x = √1521

x = 39

Hopefully it helps you

Ask if u don't understand

Answer:

C

Step-by-step explanation:

It would be -12 to go to the last cube so u subtract 12 from every number then multiply the numbers

The correct answer is option B. The volume of box D is approximately 1,715 cubic centimeters.

To find the volume of box D, we'll start by determining the dimensions of each box in sequence from box A to box D. We'll then calculate the volume of box D.

Step-by-Step Process

1. Determine the dimensions of box A:

Length [tex]\( L_A = 32 \) cm[/tex]

Breadth [tex]\( B_A = 25 \) cm[/tex]

Height [tex]\( H_A = 16 \) cm[/tex]

2. Calculate the volume of box A:

[tex]\[ V_A = L_A \times B_A \times H_A = 32 \times 25 \times 16 \][/tex]

[tex]\[ V_A = 12800 \text{ cubic centimeters} \][/tex]

3. Determine the dimensions of box B:

Each dimension is 3.5 cm less than the corresponding dimension of box A.

Length [tex]\( L_B = L_A - 3.5 = 32 - 3.5 = 28.5 \) cm[/tex]

Breadth [tex]\( B_B = B_A - 3.5 = 25 - 3.5 = 21.5 \) cm[/tex]

Height [tex]\( H_B = H_A - 3.5 = 16 - 3.5 = 12.5 \) cm[/tex]

4. Determine the dimensions of box C:

Each dimension is 3.5 cm less than the corresponding dimension of box B.

Length [tex]\( L_C = L_B - 3.5 = 28.5 - 3.5 = 25 \) cm[/tex]

Breadth [tex]\( B_C = B_B - 3.5 = 21.5 - 3.5 = 18 \) cm[/tex]

Height [tex]\( H_C = H_B - 3.5 = 12.5 - 3.5 = 9 \) cm[/tex]

5. Determine the dimensions of box D:

Each dimension is 3.5 cm less than the corresponding dimension of box C.

Length [tex]\( L_D = L_C - 3.5 = 25 - 3.5 = 21.5 \) cm[/tex]

Breadth [tex]\( B_D = B_C - 3.5 = 18 - 3.5 = 14.5 \) cm[/tex]

Height [tex]\( H_D = H_C - 3.5 = 9 - 3.5 = 5.5 \) cm[/tex]

6. Calculate the volume of box D:

[tex]\[ V_D = L_D \times B_D \times H_D = 21.5 \times 14.5 \times 5.5 \][/tex]

[tex]\[V_D = 1714.625 \text{ cubic centimeters}\][/tex]

[tex]\[V_D \approx 1715 \text{ cubic centimeters}\][/tex].

The complete question is:

Four boxes are shown in order from the largest volume to the smallest volume. For each box, all of the dimensions are 3.5cm less than the next larger box. To the nearest cubic centimeter, what is the volume of box D?

A. 3,657 cubic centimeters

B. 1,715 cubic centimeters

C. 1,044 cubic centimeters

D. 299 cubic centimeters

Answer:

Step-by-step explanation:

0.001

Answer:

0.001

Step-by-step explanation:

Any number to a negative exponent is equal to 1/number^exponent

Ex: 2^-2 = 1/2^2

10^3 = [tex]\frac{1}{10^{3} }[/tex] = [tex]\frac{1}{1000\\}[/tex] = 0.001

Answer: b= -5 over 3

Step-by-step explanation:

create the equation 3b + 9 = 4

subtract 9 from each side to isolate the variable

we are left with 3b = -5

to further isolate the variable divide by 3

3b/3 = -5/3

3b divided by 3 is b, which is equal to -5 divided by 3; -5/3

b = -5/3 is your answer

Final answer:

To represent the statement 'The sum of 3 times a number and 9 equals 4' with b as the unknown number, the equation is 3b + 9 = 4. Solving for b gives us b = -5/3.

Explanation:

The question asks to write an equation with the variable b as the unknown number, where three times this number plus nine is equal to four. To write the equation we need to translate the sentence into mathematical terms: three times a number can be expressed as 3b, and 'the sum of 3 times a number and 9' can be written as 3b + 9. Therefore, the complete equation that represents the sum of 3 times a number and 9 equals 4 is 3b + 9 = 4.

To solve for b, we can carry out some simple math by subtracting 9 from both sides to get 3b = -5, and then dividing both sides by 3 to find the value of b, which would be b = -5/3.

Answer:

C

Step-by-step explanation:

the answer is easy this just commen scence the decimal is in the tenth there for you get 180/333 bc thats the only answer

Answer:

180333

Step-by-step explanation:

cause of the decimal

Answer:

A) The mean would double to 10.

If every data point in a set is doubled, the mean of the set will also double. In this case, the original mean is 5, so when data points are doubled, the mean would be 10.

The subject of this question is how the mean of a data set changes when all data points are doubled. The mean, or average, of a data set is calculated by adding all the data points and dividing by the number of points. When every data point is doubled, each point will become twice its original value. This essentially means adding the same set of data points to the original set, thus doubling the sum. When this new sum is divided by the number of data points (which remains the same), the result also doubles. Therefore, if the mean of the original data set is 5, when every data point is doubled, the mean would also be doubled, which means the new mean is 10 – so the correct answer is (a) The mean would double to 10.

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The answers to the questions are 3 and 225000 respectively.

Using the ratio :

Expressing the values on terms of minutes

Now we have :

Divide through by 20

Hence , n = 3

2.)

Using the ratio

1 cm on the map represents 25000 kilometers on ground

9cm would be :

Hence, 9 cm would represent 225000 kilometers on ground.

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Answer:

1

Step-by-step explanation:

for the points

Answer:

1

Step-by-step explanation:

you're welcome :)

Answer:

150

Step-by-step explanation:

Members would have to pay 6 time and nonmembers would have to pay 5 time because if members pay 25 then 25 time 6 is 150 and if nonmembers pay 30 then if you time 30 by 5 you get 150

Answer:

10

Step-by-step explanation:

Answer:

The answer is 10

Step-by-step explanation:

(x+11) (x-10) = 0

Positive Solution:

x = 10

Answer:

0.6

Step-by-step explanation:

Given the simulation data

(8,2) (9,3) (4,0) (5,8) (2,7) (2,0) (5,4) (8,0) (0,4) (9.1)

(9,6) (6,5) (4,4) (1,7) (0,4) (8,5) (8,8) (1,7) (3,5) (0,3)

These pairs are:

(4,0)  (2,7) (2,0) (5,4)  (0,4) (6,5) (4,4) (1,7) (0,4) (1,7) (3,5) (0,3)

There are a total of 12 cases where the player makes both throws.

Therefore:

P(Player makes both throws)=12/20=0.6

Answer:

8280 cal

Step-by-step explanation:

Q=mc(delta)T

Q=1200(0.115)(-60)

Q=8280 cal

I used 1200 g instead of 1.2 kg

Answer:

72

Step-by-step explanation:

Area= height x width

12 X 6 = 72

The area of this irregular figure is,

⇒ A = 54 cm²

We have to given that;

Figure is shown in image.

Here, Figure is made by a rectangle and a triangle.

Hence, The area of this irregular figure is,

⇒ A = 1/2 (12-6) × 6 + (6 × 6)

⇒ A = 1/2 × 6 × 6 = 36

⇒ A = 18 + 36

⇒ A = 54 cm²

Thus, The area of this irregular figure is,

⇒ A = 54 cm²

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Answer:

1,1

Step-by-step explanation:

Answer:

The answer is D (1,1)

Step-by-step explanation:

Answer:

7) A school group is assigned to survey vast museum collections of all macroscopic (not microscopic) animal species collected from various regions around the world. What observation are the students most likely to make? A) The majority of the animals are wormlike. B) The majority of the animals possess a …

Step-by-step explanation:

Answer:

Correct Answer is D.

Step-by-step explanation:

Solve for tanx,

3tan2x−√3tanx=0

√3tanx(√3tanx−1)=0

Thus tanx=0,tanx=1√3

For tan x =0, the principal solution is x=0,π

For tanx=1√3, the principal solution would be x=π/6,7π/6

The solutions are x = nπ, where n is any integer.

We are given the trigonometric equation 3 tan(x) = √3 tan(x). To solve for x:

x = nπ where n is any integer.

This represents all angles where the tangent is zero.

Answer:

.

Step-by-step explanation: