A bank is offering 2.5% simple interest on a savings account. If you deposit $5000, how much interest will you earn in 5 years?
Responses


$825


$625

$457


$345

Answer:

B got a 100 on my final

Step-by-step explanation:

The exponential function is given by N=4(2)ˣ

Exponent is a mathematical operation, written as an. Here the expression an involves two numbers, the base 'a and the exponent or power 'n'. Exponents are used to simplify algebraic expressions.

Given here: A particular type of cell doubles every hour and initially there were 4

let x be the number of hours then we have the exponential function

N= 4×2ˣ

Now for x=0 hours we have

N=4

which is the initial amount

similarly for x=1 we have

N=4×2

 =8 which is double from the initial amount in hour

Thus the function that can describe the relationship is N=4(2)ˣ

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As per the given box plot, on 6th day island is more likely to have a wind speed close to its median.

The term box plot in math referred as the method of  visually show the distribution of numerical data and skewness through displaying the data quartiles and averages.

Here we have given the figure attached that contains the box plots show the average wind speeds, in miles per hour, for two different islands Here the Country A is placed on the top of the line where as Country B on the bottom of the line.

While we looking into the box plot we have identified that the median of Country A is 4 and the center of the box is 5

And the the median of Country B is 6 and the center of the box is 6.5.

Through this we have identified that the resulting day is 6 day.

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Step-by-step explanation:

The answer is in the picture above

Answer:

(y-8) = -1/2(x+17)

Step-by-step explanation:

slope = (-2 - 8) / (3 - (-17)) = -10 / 20 = -1/2

Area = 3024 cm^2, h = 36 and a = 78 the value of a and b needs to be determined, given the area 3024 cm^2 and height 36.

Using the formula for the area of a parallelogram, area = base * height, we can rearrange the formula to solve for the base: base = area / height. Plugging in the given values, we get base = 3024 / 36 = 84 cm.

Since a and b represent the lengths of the two sides of the parallelogram, we can use the formula for the perimeter of a parallelogram, perimeter = 2(a + b), to solve for a and b. Rearranging the formula, we get (perimeter/2) - a = b.

To find the perimeter, we need to use the Pythagorean Theorem since we know the height and base of the parallelogram.

Using the formula c = sqrt(a^2 + b^2) to find the length of the slant height, we get c = sqrt(36^2 + 84^2) = 90 cm. The perimeter is 2(c + base) = 2(90 + 84) = 348 cm.

Substituting perimeter = 348, a = 78, and solving for b, we get b = (perimeter/2) - a = 174 - 78 = 96. Therefore, a = 78 and b = 96.

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In Utah, if not directly involved in diving activity, motorized vessels and personal watercraft (PWCs) must remain 150 feet from the diver down flags.

The diver down flag is a banner that is used by vessels to indicate that divers are in the water. It is typically a red flag with a white diagonal stripe that is used to indicate the presence of divers in the water. The flag must be at least 12 x 12 inches in size and must be clearly visible from all directions. When the flag is raised, boaters are expected to keep a safe distance from the divers and to take extra precautions to ensure that they do not pose a hazard to the divers.The diver down flag should be used whenever there are divers in the water. This includes scuba divers, free divers, and anyone else who is swimming or diving underwater. The flag should be raised before the divers enter the water and should be lowered when they exit the water. In addition to the flag, divers are required to use other means of indicating their presence in the water, such as lights and audible signals, to ensure that boaters can see and hear them. Motorized vessels and personal watercraft (PWCs) must remain at least 150 feet from the diver-down flag. This means that they must keep a safe distance from the divers and take extra precautions to ensure that they do not pose a hazard to the divers. If a motorized vessel or PWC is directly involved in the diving activity, such as transporting divers to and from the dive site, they may operate closer to the flag, but they must still maintain a safe distance from the divers at all times.

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Answer:

11

Step-by-step explanation:

11 could be the value of the other side

Step-by-step explanation:

the general vertex form is

y = a(x - h)² + k

with (h, k) being the vertex of the curve.

after doing all the multiplications we get

y = a(x² - 2hx + h²) + k = ax² - 2ahx + ah² + k

now we have

y = x² + 24x + 124

and we can compare

ax² = x²

a = 1

-2ahx = -2hx = 24x

-2h = 24

h = 24/-2 = -12

ah² + k = 124

(-12)² + k = 124

144 + k = 124

k = -20

so, the vertex form is

y = (x + 12)² - 20

Answer:

XY would also be 7 centimeters which is answer D.

Step-by-step explanation:

This is a parallelogram, meaning that the adjacent sides are congruent. As well, the triangles making up the figure are congruent, so it makes sense that XY would also equal 7 centimeters.

The length of arc JL is 24.46 units see attachment for diagram.

An arc is a part of the circumference of a circle that meets two radii of a circle to form a sector.

Analysis:

From bigger triangle, if we bisect 144, the line meets JL at 90°.

To find AL,

sin 72 = AL/6

AL = 6 sin 72 = 5.71

To find the angle at O

∠O = 2∠K ( twice angle at circumference is equal to angle at center)

∠O = 2 (144) = 288°

For smaller right-angled triangle,

sin 144 = AL/OL

sin 144 = 5.71/OL

OL = radius of circle =  5.71/0.587 = 9.73 unit

length of arc JL = ∅/360 x 2πr

= 144/360 x 2 x 3.142 x 9.73 = 24.46 units

In conclusion, the length of arc JL is 24.46 units

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Answer:

The set of numbers that could not represent the three sides of a right triangle are;

{9, 24, 26}

Step-by-step explanation:

According to Pythagoras's theorem, when the lengths of the three sides of a right triangle includes two legs, 'x', and 'y', and the hypotenuse side 'r', we have;

r² = x² + y²

Where;

r > x, r > y

Therefore, analyzing the options using the relationship between the numbers forming the three sides of a right triangle, we have;

Set 1;

95² = 76² + 57², therefore, set 1 represents the three sides of a right triangle

Set 2;

82² = 80² + 18², therefore, set 2 represents the three sides of a right triangle

Set 3;

26² = 24² + 9², therefore, set 3 could not represent the three sides of a right triangle

Set 4;

39² = 36² + 15², therefore, set 4 represents the three sides of a right triangle

Measurements on an ordinal scale offer additional information by providing an ordered arrangement of categories or variables, enabling comparisons and understanding of relative positions or preferences.

Measurements on an ordinal scale provide additional information compared to measurements on a nominal scale by allowing for the establishment of a ranking or order among the measured categories or variables. While a nominal scale categorizes data into distinct groups without any inherent order, an ordinal scale assigns a specific order or hierarchy to the categories or variables being measured.

With measurements on an ordinal scale, it becomes possible to determine the relative position, preference, or level of a particular category or variable in relation to others. This ordering provides more nuanced information about the data, allowing for comparisons such as "greater than" or "less than" relationships. However, the precise magnitude or interval between categories is not defined in an ordinal scale, unlike in other scales like interval or ratio scales.

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Field data aggregation is the process of summarizing, combining, and analyzing data that has been collected from various sources. The following are some of the common ways that field data is aggregated: Count of Failures: A count of how many times a failure has occurred within a given period of time,

such as a day or a week. Number of Failed Parts: The number of parts that have failed over a given period of time, such as a day or a week. Hours of Operation: The amount of time that a machine or system was operational during a given period of time, such as a day or a week. Maintenance Time: The amount of time that was spent maintaining a machine or system during a given period of time, such as a day or a week.

Mark for Follow-Up: An indication of which issues need to be addressed or followed up on to prevent future failures or improve performance. Field data aggregation is the process of summarizing, combining, and analyzing data that has been collected from various sources. The following are some of the common ways that field data is aggregated: Count of Failures: A count of how many times a failure has occurred within a given period of time,

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Answer:

j,fj,fj,fj,fj,fj,fhj,fj,fj,fj,

Step-by-step explanation:

Answer: y>1

Step-by-step explanation:

The percentage of 8-ounce cans of cola having a caffeine content greater than 35mg is approximately 12%.

We find the standard deviation.

A randomly selected 8-ounce can contain 35mg of caffeine is 1.2 standard deviations above the mean.

Mean = 33mg

35 = Mean - 1.2(standard deviation)

35 = 33 + 1.2(standard deviation)

35 - 33 = 1.2(standard deviation)

2 = 1.2(standard deviation )

Standard deviation = 2/1.2

                                = 1.6666666667

                                = 1.67

Therefore, the standard deviation is 1.67.

Using the z-score formula

Z score = x - μ/σ

x = 35mg

μ = mean = 33mg

σ= standard deviation = 1.67

Z score = 35 - 33/1.67

              = 1.1976

Probability value from Z-Table:

P(x<35) = 0.88446

P(x>35) = 1 - P(x<35)

            = 1 - 0.8844

            = 0.11554

Converting to percentage = 0.11554 × 100

                                           = 11.554%

                                           ≈ 12%

Therefore, the percentage of 8-ounce cans of cola having a caffeine content greater than 35mg is approximately 12%.

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Option A is the correct answer.

For an experiment involving 2 Levels of factor A and 3 levels of factor B with a sample of n = 5 in each treatment condition, we need to calculate the value for df within treatments.

The formula to calculate df within treatments is given by, df within treatments = (A - 1) (B - 1) (n - 1)Where, A = Levels of factor AB = Levels of factor Bn = Sample size= 2 levels of factor A= 3 levels of factor B= 5 in each treatment conditionNow, df within treatments = (A - 1) (B - 1) (n - 1)= (2 - 1) (3 - 1) (5 - 1)= 1 × 2 × 4= 8Hence, the value of df within treatments is 8.

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Answer:

\(8<\sqrt{66}<9\)

Step-by-step explanation:

\(64<66<81 \implies 8<\sqrt{66}<9\)

When the area corresponding to the critical value is in the lower tail of the sampling distribution, the p-value is the area under the curve less than or equal to the critical value. Therefore, the correct answer is a. less than or equal to the critical value.

The critical value is the point on the sampling distribution that separates the rejection region from the non-rejection region. If the test statistic falls in the rejection region, we reject the null hypothesis. The p-value is the probability of obtaining a test statistic as extreme or more extreme than the one observed, given that the null hypothesis is true. If the p-value is less than or equal to the critical value, we reject the null hypothesis.

In the case of a lower-tailed test, the critical value is in the lower tail of the sampling distribution, and the p-value is the area under the curve to the left of the test statistic. If the p-value is less than or equal to the critical value, it means that the test statistic falls in the rejection region and we reject the null hypothesis.

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Y = 5x + 1 is the equation for the line with a slope of 5 and a y-intercept of 0.

The point where a straight line contacts the Y axis is known as the Y intercept. In the accompanying diagram, the line crosses the Y axis at position 1. The point is shown by and the value of the Y intercept is 1. (0,1). Remember that for the y-intercept, the point's x-coordinate is always zero.

Y = mx + b, where m denotes the slope and b the y-intercept, is how the equation of the line is expressed in the slope-intercept form. Y Equals 3x in our equation.

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Personal car would be the best option to manage both tasks efficiently. While the train is a reliable mode of transportation, it may have fixed schedules that might not align perfectly with Patrick's needs.

On the other hand, using his personal car provides more flexibility and allows him to tailor the departure time according to his daughter's coding class schedule.

If Patrick decides to take the train, he would need to check the train schedule to see if there are convenient departure and arrival times for both the soccer game and the coding class. This option would require planning and coordination to ensure he arrives at the game on time and can pick up his daughter afterward.

Using his personal car gives Patrick the freedom to leave at a time that accommodates both the soccer game and the coding class. He can drop off his daughter at her coding class, attend the soccer game, and then pick her up afterward without being restricted by train schedules.

Considering the circumstances, Patrick might find it more convenient to use his personal car to manage both tasks effectively and ensure he can attend his son's soccer game while also ensuring his daughter arrives at her coding class on time.

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Answer:

25.

Step-by-step explanation:

25 to 1 significant figure is 30.

The two places she can put lens and give object and image distances are 15cm and 75cm.

The Lens equation gives us:

1/f = 1/u + 1/v

From the problem we know that,

v=90-u

By solving

u² - 90u + 1125 = 0.

An optical system's focal length, which is the inverse of the system's optical power, indicates how strongly the system converges or diverges light. A system with a positive focal length is said to converge light, and one with a negative focal length is said to diverge light.

A negative focal length, on the other hand, indicates how far in front of the lens a point source must be located to form a collimated beam, for the special case of a thin lens in air, where a positive focal length is the distance over which initially collimated (parallel) rays are brought to a focus. For more generic optical systems, the focal length is merely the inverse of optical power and lacks any intuitive significance.

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To solve for x, we just need to compute the inverse of A (if it exists) and multiply it by b. If A is invertible, then this method will give us the unique solution to the linear system Ax=b.

To solve a linear system of the form Ax=b using inverse matrices, we can first find the inverse of matrix A (if it exists) and then multiply both sides of the equation by \(A^-1\), giving us:

\(A^-1Ax = A^-1b\)

Since\(A^-1A\) is the identity matrix I, we can simplify the left-hand side to just x:

\(x = A^-1b\)

However, it's worth noting that computing the inverse of a matrix can be computationally expensive, particularly for large matrices.

So, while using inverse matrices can be a useful technique for solving small systems, it may not be the most efficient approach for larger systems. In those cases, other techniques such as Gaussian elimination or LU decomposition may be more appropriate.

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Answer:

the answer is c i did the test again and got it right

Step-by-step explanation:

Maya will need to sell 5 pounds of soap to cover the cost of the equipment.

First, let's identify the relevant terms:
  - Initial equipment cost: $60
  - Cost of materials per pound of soap: $2
  - Selling price per pound of soap: $14
To find out how much soap Maya needs to sell to cover the cost of the equipment, we can set up an equation:
  - Revenue = Cost of equipment + Cost of materials
  - Revenue = $14 × pounds of soap sold
Next, we can solve for the number of pounds of soap Maya needs to sell:
 - $14 × pounds of soap sold = $60 (equipment cost) + $2 × pounds of soap sold
  - $14 × pounds of soap sold - $2 × pounds of soap sold = $60
  - $12 × pounds of soap sold = $60
Finally, we can find the number of pounds of soap:
  - pounds of soap sold = $60 / $12
  - pounds of soap sold = 5
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