which is a better deal? sabrina want to buy a new digital camera. The one she wants is currently on a sale for 300$. She could borrow some money at a monthly interest rate of 4% simple interest and pay it off after 6 months and then pay cash, but the camera will no longer be on sale and will cost $350.
Which option will cost her the least amount of money?
include calculations to justify your advice.

Let us place the data in ascending order (smallest to largest)-

\(\longrightarrow\)90 ,98 ,98 ,99 ,100 ,100

Since the given data has even set of numbers, we will have to find two numbers in the middle-

\(\longrightarrow\) 90, 98, 98 ,99 ,100 ,100

Add the two middle numbers and then divide by two, to get the average,which is our median:-

\(\begin{gathered}\\\implies\quad \sf 98+99 = 197\\\end{gathered} \)

\(\begin{gathered}\\\implies\quad \sf 197/2 = 98.5 \\\end{gathered} \)

\(\leadsto\)Thus the median of given set of data is 98.5

Note - In case of odd sets of numbers, there is only one middle term which is median.

Answer:

7

Step-by-step explanation:

7/12 of 12

7/12 × 12

7/1 × 1

= 7

The radius of the spherical part is 3 inches and the length of the tube is 21 cm.

The capacity of a cylinder, which determines how much material it can hold, is determined by the cylinder's volume. There is a formula for the volume of a cylinder that is used in geometry to determine how much of any quantity, whether liquid or solid, can be immersed in it uniformly.

Given that the volume when the water is fully dipped is 4554 / 7 cm³. The volume when the length is 9 cm empty is 396 cm³.

The two equations can be formed as below:-

4554 / 7 = πr²l + (2/3)πr³

396 = πr²( l - 9 ) + (2/3)πr³

Subtract the second equation from the first,

( 4554 / 7 ) - 396 = 9πr²

9πr² = 254.5

r² = 9

r = 3 cm

The length will be calculated as:-

4554 / 7 = πr²l + (2/3)πr³

4554 / 7 = π( 3 )²l + (2/3)π(3)³

l = 21 cm

Therefore, the tube's length is 21 cm, and the spherical part's radius is 3 inches.

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Answer:

226

Step-by-step explanation:

Hope this helps! Pls give brainliest!

An example of a geometric formula that contains pi(π) is the formula for the circumference of a circle, which is

C = 2πr. This formula is used to calculate the distance around a circle.

A geometric formula is a mathematical equation that describes a relationship between geometric figures or their properties.

Geometric formulas are used to calculate the area, perimeter, volume, surface area, and other properties of shapes such as circles, triangles, rectangles, spheres, cubes, and cylinders. For example, the formula for the area of a triangle is

A = 1/2 b×h, where b is the base of the triangle and h is its height.

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The recommended rule to sequence the jobs for minimum flow time is the EDD (Earliest Due Date) rule.

The EDD rule prioritizes jobs based on their due dates, where jobs with earlier due dates are given higher priority. By sequencing the jobs in order of their due dates, the goal is to minimize the total flow time, which is the sum of the time it takes to complete each job.

In this case, applying the EDD rule, the sequence of jobs would be as follows:

D (Due on Friday 10th June)

F (Due on Tuesday 14th June)

E (Due on Wednesday 15th June)

C (Due on Friday 17th June)

G (Due on Thursday 16th June)

H (Due on Saturday 18th June)

A (Due on Monday 13th June)

B (Due on Monday 20th June)

By following the EDD rule, we aim to complete the jobs with earlier due dates first, minimizing the flow time and ensuring timely delivery of the orders.

Therefore, the recommended rule for sequencing the jobs in this scenario is the EDD (Earliest Due Date) rule.

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Answer:

Step-by-step explanation:

If a boat can travel 408 miles on 204 gallons, this means that for every 2 miles, it requires 1 gallon.

So, for 169 gallons, there are 2 miles for every gallon.

So, multiply 169 * 2.

The answer is 338

Hope this helps!

Answer:

6 miles

Step-by-step explanation:

1/3 of 60 is 20

so multiply 1 1/2 by 3 = 4 1/2

4 1/2 - total for 1 hour

so to fine 3 hours multiply that by 3

which is 6 hours.

Hello Harry4Hudson!

\( \huge \boxed{\mathfrak{Question} \downarrow}\)

Factorise; 2 cubed multilpied by 2 squared.

\( \large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}\)

Firstly let's change the statement to a numerical expression.

\( \cdot\sf \: 2 \: cubed = 2 ^{3} \\ \cdot\sf \: multiplied \: by = \times \\\cdot\sf \: 2 \: squared = 2 ^{2} \\ \\ \sf \: So, \: the \: expression \: becomes \rightarrow \boxed{\tt {2}^{3} \times {2}^{2} }\)

__________________

\(2 ^{3} \times 2^{2} \)

To solve this, we must know that while multiplying exponents which have a same base we must take their base as common & add the exponents.

\(2 ^{3} \times {2}^{2} \\ = (2) ^{3 + 2} \\ = \underline{\underline{ 2 ^{5} }}\)

We got 2⁵. Now, multiply 2 five times to get the answer.

\( {2}^{5} \\ = 2 \times 2 \times 2 \times 2 \times 2 \\ = \huge \boxed{\boxed{\bf 32}}\)

__________________

Hope it'll help you!

ℓu¢αzz ッ

Hey there!

2 cube multiplied by 2 squared

= 2³ × 2²

= (2 × 2 × 2) × (2 × 2)

= 8 × 4

= 32.

Hope it helps ya!

The Child would take 4 hours while the Adult would take 4/3 hours

An algebraic equation is when we use numbers and words in solving a particular mathematical question.

Given:

Adult Data:

Time = x hours per  job

Rate = 1/x job per hour

Child Data:

Time = 3x hours per  job

Rate = 1/3x job per hour

Together, the equation becomes:

Child rate + Adult rate = Together rate

\(\frac{1}{3x}\) + \(\frac{1}{x}\) = 1

Multiply both sides by the L.C.M.

L.C.M = 3x

\(\frac{1}{3x} X 3x + \frac{1}{x} X 3x = 1 X 3x\)

= 1 + 3 = 3x

Hence,

3x = 4 and x = 4/3

Therefore, it would take the child 4 hours to do the job alone while it will take the adult 4/3 hours to do the job alone.

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The player's batting average is 0.333.

The baseball player's batting average is found by dividing the number of hits by the number of times at bat. This number is then rounded to the nearest thousandth.

The question states that Cole Becker was at bat nine times with three hits.

To determine the player's batting average, divide the number of hits by the number of times at bat. A calculator can be used to compute this, and the result can be rounded to the nearest thousandth.

Batting Average = Number of hits/Number of times at bat

Batting Average = 3/9

Batting Average = 0.33333333...

Rounded to the nearest thousandth, the player's batting average is 0.333.

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Speed of sailfish is

and swordfish is

the sailfish is faster than swrdfish because

then, the right option is A

Answer:

a) Yes, the altitude from vertex J bisects side KL in the triangle with vertices J(-5, 4), K(1, 8), and L(−1, −2).

b) AJKL is an isosceles triangle. This is because side KL has the same length, which is 6 units.

Step-by-step explanation:

An isosceles triangle has two sides of equal length and two equal angles opposite to those sides. The angles between the two equal sides are called the base angles of the triangle. In the case of AJKL, the two equal sides are KL and JK, which have a length of 6 units. The two equal angles opposite to these sides are angle AJK and angle ALK.

To address the issue of inaccurate data due to training and inclusion of deaths outside the specified time period, steps can be taken such as enhancing interviewer training, developing standardized protocols, monitoring data collection, reviewing and validating data, and reporting limitations. These measures aim to improve accuracy and reliability in survey findings.

The issue you are describing is related to the training of the interviewers and the inclusion of deaths outside the specified time period in a survey. This can result in inaccurate data and misleading findings. To address this problem, here are some steps that could be taken:
1. Review the training process: Evaluate the training program for interviewers to ensure that they have a clear understanding of the study objectives, the time period of interest, and the criteria for identifying relevant deaths.
2. Enhance interviewer training: Provide additional training sessions or resources to improve interviewer skills, such as accurately identifying and recording deaths within the specified time frame.
3. Develop a standardized protocol: Create a standardized protocol that clearly defines the criteria for including deaths in the survey. This should include guidelines for determining the appropriate time period and ensuring consistency in data collection.
4. Monitor data collection: Implement a system to monitor the data collection process, including regular checks to verify the accuracy and completeness of the information recorded by interviewers.
5. Review and validate data: After the survey is completed, carefully review the collected data and identify any discrepancies or inconsistencies. Cross-check the reported deaths against other reliable sources or databases to ensure accuracy.
6. Report limitations: When presenting the survey findings, clearly acknowledge any limitations resulting from the inclusion of deaths outside the time period of interest. This will help provide context and ensure the accurate interpretation of the data.
By implementing these steps, the accuracy and reliability of the survey data can be improved, leading to more valid and meaningful results.

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Answer:

\(question \: \: 4. : \\ 320 \: miles = 3 \: inches. \\ question \: \: 6. : \\586 \frac{2}{3} \: miles = 5.5 \: inches.\\ question \: \: 8. : \\ 9 \frac{1}{10} \: inches =1,092 \: feets.\)

Step-by-step explanation:

\(question \: \: 4. : \\ if \: 80 \: miles = \frac{3}{4} \: inch \\ 320 \: miles = \frac{ \frac{3}{4} \: inch \times 320 \: miles }{80 \: miles} \\ \\ 320 \: miles \: = \frac{3}{4} \: inch \: \times 4 \\ 320 \: miles = 3 \: inches. \\ \\ question \: \: 6. : \\ if \: 80 \: miles = \frac{3}{4} \: inch \\ \\ 586 \frac{2}{3} \: miles = \frac{ \frac{3}{4} \: inches \times586 \frac{2}{3} \: miles }{80 \: miles} \\ \\ 586 \frac{2}{3} \: miles = \frac{440}{80} \: inches\\ \\ 586 \frac{2}{3} \: miles = 5.5 \: inches. \\ \\ question \: \: 8. : \\ if \: 1 \: inche = 120 \: feets \\ 9 \frac{1}{10} \: inches = \frac{9 \frac{1}{10} \: inches \times 120 \: feets }{1 \: inche} \\ \\ 9 \frac{1}{10} \: inches = \frac{91 \times 120}{10} \: feets \\ \\ 9 \frac{1}{10} \: inches =1,092 \: feets.\)

Answer:

11/6

Step-by-step explanation:

1 1/3 = 1 × 3 + 1/3 = 4/3

2 3/4 = 2 × 4 + 3/4 = 11/4

Now, 1 1/3 MULIPLIED BY 2 3/4

i.e.,

4/3 × 11/4 = 4 × 11/3 × 4 = 44/12 = 11/6

Thus, 1 1/3 × 2 3/4 = 11/6

-TheUnknownScientist

Answer:

588 english tst ok alright

Answer:

588

Step-by-step explanation:

Answer:

\(196 m^{2}\)

Step-by-step explanation:

A square is a  shape that which all sides are equal

14 is one side of the square and to find the area of a square/rectangle, you do  length*width

14*14=196

Answer:

75 cm

Step-by-step explanation:

It is given that the triangles are similar. It means that the ratio of their areas are equal to the ratio of their bases and ratio of their altitudes.

Let \(A_1\) be the area of 1st triangle.

Let \(A_2\) be the area of 2nd triangle.

Let \(h_1\) be the altitude of 1st triangle.

Let \(h_2\) be the altitude of 2nd triangle.

Let \(b_1\) be the base of 1st triangle.

Let \(b_2\) be the base of 2nd triangle.

Then \(A_1: A_2 = h_1 : h_2 = b_1 : b_2 ...... (1)\)

\(A_1 = 42 cm^{2} \\A_2 = 262.5 cm^{2}\\h_1 = 7 cm\\b_2 = ?\)

We know that area of a triangle is:

\(A = \dfrac{1}{2} \times b \times h\)

Area of smaller triangle:

\(\frac{1}{2} \times b_1 \times 7 = 42\\\Rightarrow b_1 = 12 cm\)

Now, using part of equation (1):

\(A_1: A_2 = b_1 : b_2 \\\Rightarrow \dfrac{42}{262.5} = \dfrac{12}{b_2}\\\Rightarrow b_2 = 75 cm\)

Hence, base of larger triangle = 75 cm

Seafloor spreading can be defined as a process that involves the formation of new oceanic crust as a result of volcanic activities and an upwelling of molten magma at mid-ocean ridges, as well as a slowly increasing distance (outward movement) from the ridge.

The theory of seafloor spreading was established by Harry Hammond Hess and it can be used to explain in details the slowly increasing distance between South America and Africa which grows from the center.

A hot spot refers to an area deep within Earth's mantle or under the rocky outermost layer of Earth, from which heat rises through convection and acquired as heat energy by a landform.

In the United States of America, you will see a layered sedimentary rock that is exposed by erosion when you view the Grand Canyon.

Furthermore, Australia is made up of relatively old and thick continental crust. Also, subduction causes the formation of extremely deep ocean Marianas Trench.

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The domain of the function shown in the graph above include the following: D. {x|x ≥ -4}.

In Mathematics, a domain can be defined as the set of all real numbers for which a particular function is defined.

In Mathematics, the horizontal extent of any graph of a function represents all domain values and they are read and written from smaller to larger numerical values, and from the left of a graph to the right.

By using set builder notation, the domain of this function shown in the graph above can be written as follows;

Domain = {-4, ∞}

Domain = {x|x ≥ -4}

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The apparent capacity of a glass vessel refers to its perceived size or volume based on external dimensions, while the actual capacity represents the true volume of the vessel, taking into account both interior and exterior dimensions.

\(\huge{\mathfrak{\colorbox{black}{\textcolor{lime}{I\:hope\:this\:helps\:!\:\:}}}}\)

♥️ \(\large{\textcolor{red}{\underline{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)

In various settings, such as work or school, measures of location, measures of variability, and measures of association can provide valuable insights and aid in interpreting data.

Let's consider an example from a work setting where employee performance data is collected

Measures of location, such as the mean or median, can illustrate an important aspect of employee performance. By calculating the mean performance score, we can identify the average level of performance across the organization. This measure helps us understand the central tendency of the data and provides a benchmark to assess individual employee performance against the average. If the mean performance score is low, it indicates the need for improvement in overall performance.

Measures of variability, such as the standard deviation, can indicate the spread or dispersion of performance scores. A high standard deviation suggests a wide range of performance levels among employees, indicating a lack of consistency. This insight prompts organizations to investigate the underlying factors contributing to the variability and identify areas for improvement in training, resources, or performance management processes.

Furthermore, measures of association, such as correlation coefficients, can help identify relationships between variables. For example, we can explore the correlation between employee performance scores and factors like years of experience, education level, or training hours. Understanding these associations can guide decision-making processes, such as designing targeted training programs for employees who exhibit a lower correlation between training hours and performance.

By applying these measures and interpreting the data, organizations can gain valuable insights into employee performance. This understanding can lead to improved decision-making, such as identifying areas for performance improvement, optimizing resource allocation, and implementing targeted interventions to enhance overall productivity and success within the work setting.

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The inflection point of f(t) is approximately t = 3.73.

(a) To determine if the function f(t) = -0.425t^3 + 4.758t^2 + 6.741t + 43.7 is increasing or decreasing, we need to find its derivative and examine its sign.

Taking the derivative of f(t), we have:

f'(t) = -1.275t^2 + 9.516t + 6.741

To determine the sign of f'(t), we need to find the critical points. Setting f'(t) = 0 and solving for t, we have:

-1.275t^2 + 9.516t + 6.741 = 0

Using the quadratic formula, we find two possible values for t:

t ≈ 0.94 and t ≈ 6.02

Next, we can test the intervals between these critical points to determine the sign of f'(t) and thus the increasing or decreasing behavior of f(t).

For t < 0.94, choose t = 0:

f'(0) = 6.741 > 0

For 0.94 < t < 6.02, choose t = 1:

f'(1) ≈ 14.982 > 0

For t > 6.02, choose t = 7:

f'(7) ≈ -5.325 < 0

From this analysis, we see that f(t) is increasing on the intervals (0, 0.94) and (6.02, ∞), and decreasing on the interval (0.94, 6.02).

(b) To find the inflection point of f(t), we need to find the points where the concavity changes. This occurs when the second derivative, f''(t), changes sign.

Taking the second derivative of f(t), we have:

f''(t) = -2.55t + 9.516

Setting f''(t) = 0 and solving for t, we find:

-2.55t + 9.516 = 0

t ≈ 3.73

Therefore, The inflection point of f(t) is approximately t = 3.73.

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Answer:

x = \(\frac{3}{2}\), x = \(\frac{13}{2}\)

Step-by-step explanation:

Given

4x² - 16x = 16x - 39 ( subtract 16x - 39 from both sides )

4x² - 32x + 39 = 0

Consider the factors of the product of the x² term and the constant term which sum to give the coefficient of the x- term, that is

product = 4 × 39 = 156 and sum = - 32

The factors are - 26 and - 6

Use these factors to split the x- term

4x² - 26x - 6x + 39 = 0 ( factor the first/second and third/fourth terms )

2x(2x - 13) - 3(2x - 13) = 0 ← factor out (2x - 13) from each term

(2x - 13)(2x - 3) = 0

Equate each factor to zero and solve for x

2x - 3 = 0 ⇒ 2x = 3 ⇒ x = \(\frac{3}{2}\)

2x - 13 = 0 ⇒ 2x = 13 ⇒ x = \(\frac{13}{2}\)

It will take approximately 54.1 years for the population to triple.To find how long it will take for the population to triple,

we can set up the equation:

3Po = Po * e^(0.0127t)

Dividing both sides by Po, we get:

3 = e^(0.0127t)

To solve for t, we can take the natural logarithm of both sides:

ln(3) = 0.0127t

Now we can isolate t by dividing both sides by 0.0127:

t = ln(3) / 0.0127

Using a calculator, we can evaluate this expression:

t ≈ 54.1

Therefore, it will take approximately 54.1 years for the population to triple.

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The function in variable w giving the cost C (in dollars) of constructing the box is C(w) = 30w² + 270/w. The result is obtained by using the formula of volume and area of the box.

We have a rectangular storage container without a lid.

The formula of volume of the box is

V = l × w × h

Where

So, the height is

10 = 2w × w × h

10 = 2w² × h

h = 10/2w²

h = 5/w²

To find the total cost, calculate the area of base and sides of the box!

See the picture in the attachment!

The base area is

A₁ = 2w × w = 2w² m²

The sides area is

A₂ = 2(2wh + wh)

A₂ = 2(3wh)

A₂ = 6wh

A₂ = 6w(5/w²)

A₂ = 30/w m²

The total cost is

C = $15(2w²) + $9(30/w)

C = $30w² + $270/w

The function of the total cost is

C(w) = 30w² + 270/w

Hence, the function of constructing the box is C(w) = 30w² + 270/w.

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Answer:

V = πr²h

Step-by-step explanation:

r = radius of circle

h = height of cylinder

Step-by-step explanation:

The formula for the volume of a cylinder is V=Bh or V=πr2h . The radius of the cylinder is 8 cm and the height is 15 cm. Substitute 8 for r and 15 for h in the formula V=πr2h . ... Therefore, the volume of the cylinder is about 3016 cubic centimeters.

the value of x is 8

Answer:

x =8

Step-by-step explanation:

\(2x =16\\\)

Divide both sides of the equation by 2

\(\frac{2x}{2} = \frac{16}{2} \\\\x =8\)