Compute the earnings for the year, for a $18,500 savings account that earns 1.2 percent compounded (a) annually, (b) quarterly, (c) monthly, and (d) daily.
(Use 365 days a year. Do not round your intermediate calculations and time value factors. Round your final answers to 2 decimal places. Omit the "$" sign in your response.)

Answer:

Part A: \(\frac{3}{5}\)

Part B: \(\frac{1}{2}\)

Step-by-step explanation:

We know that Alinn flipped a coin 20 times, and that 12 of those times resulted in heads. The other 8 times resulted in tails.

Part A wants us to find the experimental probability of the coin landing on heads. Experimental probability is the probability determined based on the experiments performed.

Part B wants us to find the theoretical probability of the coin landing on heads. Theoretical probability is determined based on the number of favorable outcomes over the number of possible outcomes.

Experimental probability is determined as # of times something occurred experimentally / total number of times.  

Since 12 of the 20 times that Alinn flipped the coin resulted in heads, this means that the experimental probability of Alinn flipping heads is \(\frac{12}{20}\), which simplifies down to \(\frac{3}{5}\).

Theoretical probability, as stated above, is the number of favorable outcomes / possible outcomes.

Our favorable outcome is flipping heads, and on a coin, there are two sides that a coin can land on: heads and tails. This means that there are two possible outcomes, and only one of them is favorable.

This means that our theoretical probability is \(\frac{1}{2}\).

The slope of the line = rise/run = 1. (see image below).

The slope of a line can be calculated by finding the ratio of its rise to its run.

The rise of the line is the vertical distance along the y-axis or change in y, while the run of the line is the horizontal distance along the x-axis or change in x.

The run of the line as shown by the blue line is the change in x = 2 units.

The rise of the line is the red line, which is = 2 units.

Therefore:

Slope of the line = rise/run = -2 units/2 units

Slope = -1. (It is negative because the the line is declining).

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Answer:

3/5 ÷ 2/10 = 3

Step-by-step explanation:

Hope this helps

Answer:

90

Step-by-step explanation:

500 - 230 = 270 divided by 3 = 90

she will need 90 box tops to get the stationary set

Yes, the business did better on the second campaign. Since a higher ROI or ROAS value indicates better performance, the business did better on the second campaign.

ROI stands for Return on Investment, which is a measure of profitability. It is calculated by dividing the net profit by the total investment and expressing it as a percentage.

In this case, the ROI for the first campaign was 3, indicating that the business generated three times the profit compared to the investment.

ROAS stands for Return on Advertising Spend, which is a measure of the effectiveness of advertising campaigns. It is calculated by dividing the revenue generated by the advertising campaign by the cost of that campaign.

In this case, the ROAS for the second campaign was 4, indicating that the business generated four times the revenue compared to the advertising cost.

Since a higher ROI or ROAS value indicates better performance, the business did better on the second campaign. The ROAS value of 4 is higher than the ROI value of 3, indicating that the second campaign was more effective in terms of generating revenue compared to the investment made.

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The ROI (Return on Investment) measures the profitability of an investment and is calculated by dividing the net profit by the cost of the investment.

The ROAS (Return on Advertising Spend) measures the effectiveness of an advertising campaign and is calculated by dividing the revenue generated by the advertising campaign by the cost of the campaign. Based on the information provided, it can be concluded that the business did better on the second campaign.


In this case, the business had an ROI of 3 for the first campaign and a ROAS of 4 for the second campaign.

To compare the two campaigns, we can look at the ratios.

For the first campaign, the ROI was 3, meaning that for every dollar invested, the business received 3 dollars in profit.

For the second campaign, the ROAS was 4, meaning that for every dollar spent on advertising, the business generated 4 dollars in revenue.

Comparing these two ratios, we can see that the second campaign had a higher return on advertising spend (ROAS) compared to the first campaign's return on investment (ROI). This suggests that the second campaign performed better in terms of generating revenue in relation to the advertising cost.

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We have to find the Laplace transform of y 00 5y 0 6y = g(t), given that y(0) = 0, y' (0) = 2, g(t) = 0 if 0 ≤ t < 1, t if 1 ≤ t < 5; 1 if 5 ≤ t.Let us take Laplace transform of both sides.

L {y 00 } + 5L {y 0 } + 6L {y} = L {g(t)}L {y 00 } + 5L {y 0 } + 6L {y}

= L {g(t)}

Now, substituting the initial conditions,

L {y(0)} = 0 and L {y' (0)} = 2,

we get:

L {y} = (2s + 5) / (s² + 5s + 6) .

L {g(t)}Let us find L {g(t)} for different intervals of t.

L {g(t)} = ∫₀¹ e⁻ˢᵗ dt

= [ - e⁻ˢᵗ / s ]₀¹

= [ - e⁻ˢ - ( - 1) / s ]

= [ 1 - e⁻ˢ / s ]L {g(t)}

= ∫₁⁵ e⁻ˢᵗ dt

= [ - e⁻ˢᵗ / s ]₁⁵

= [ - e⁻⁵ˢ + e⁻ˢ / s ]L {g(t)}

= ∫₅ⁿ e⁻ˢᵗ dt = [ - e⁻ˢᵗ / s ]₅ⁿ

= [ - e⁻ⁿˢ + e⁻⁵ˢ / s ]

Now, applying final value theorem,lim t→∞ y(t) = lim s→0 [ sL {y} ]lim t→∞ y(t) = lim s→0 [ s(2s + 5) / (s² + 5s + 6) .

L {g(t)} ]lim t→∞ y(t) = 5/3Therefore, lim t→∞ y(t) = 5/3.

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Answer:

It's a 1/6 chance.

Step-by-step explanation:

The difference between the circumference of circle X and circumference of circle Y is 5π cm.

This is the distance round a circle.

The circumference of circle X is calculated as follows;

\(C_X = \pi d\\\\ C_X = 15\pi \ cm\)

The circumference of circle Y is calculated as follows;

\(C_Y = \pi d\\\\ C_Y = 20 \pi \ cm\)

The difference between the circumference of circle X and circumference of circle Y is calculated as follows;

\(C_Y - C_X = 20\pi - 15 \pi = 5\pi \ cm \\\\ \)

Thus, the difference between the circumference of circle X and circumference of circle Y is 5π cm.

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Using the formula for the circumference, it is found that the difference between the circumference of circle X and the circumference of circle Y is of 31.4 centimeters.

\(C = 2\pi r\)

The diameter of circle X is 15 centimeters, hence \(r = 15\) and:

\(C_X = 2\pi(15) = 30\pi\)

The diameter of circle Y is 20 centimeters, hence \(r = 20\) and:

\(C_Y = 2\pi(20) = 40\pi\)

Then, the difference, in centimeters, is of:

\(d = C_X - C_Y = 40\pi - 30\pi = 10\pi = 31.4\)

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Answer:

$7.56

Step-by-step explanation:

They sell it in $2.25 per kg

Hamburger: cost

      1 kg      :  2.25

      3.4       :   7.56

1 x 3.4= 3.4

so, 2.25 x 3.4= 7.56

Answer:

14/3

Step-by-step explanation:

7/9*6/1=42/9=14/3

Answer:

14/3

Step-by-step explanation:

7 x 69 17x6=429X1=942/9 or 14/3.

Answer:

d = 2873.5 feet

Step-by-step explanation:

Given that,

The distance around a meteor crater is 9,031 ft.

We need to find the diameter of the crater. The circumference of a circle is given by :

\(C=2\pi r\)

Where

r is the radius of the circle

So,

\(r=\dfrac{C}{2\pi}\\\\r=\dfrac{9031}{2\times \dfrac{22}{7}}\\\\r=1436.75\ ft\)

Since,

Diameter, d = 2r

\(d=2\times 1436.75\\\\d=2873.5\ ft\)

So, the diameter of the crater is equal to 2873.5 feet.

Answer:

True

Step-by-step explanation:

Cuz if u substitute (3,-3/2) it would work

Y = 1/2x - 3

-3/2 = 1/2(3)-3

-3/2 = 1.5 - 3

-3/2 = -1.5

& -3/2 is -1.5 as a decimal lol

Answer:

5

Step-by-step explanation:

Take the number of 6th graders and multiply by the percent that have red hair

100 * 5%

100 * .05

5

Answer:

on edg its 5!

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Have a great summer :)

Area of irregular shape is 41.13m².

The measurement that expresses the size of a region on a plane or curved surface is called area. Surface area refers to the area of an open surface or the boundary of a three-dimensional object, whereas the area of a plane region or plane area refers to the area of a form or planar lamina. Area can be interpreted as the quantity of material with a specific thickness required to create a model of the shape or as the quantity of paint required to completely cover a surface in a single coat.

Given,

Area of irregular shape = Area of rectangle + Area of semicircle

Area of rectangle = Length × Breadth

Area of rectangle = 9 × 3

Area of rectangle = 27 m²

Area of semicircle:

1/2πr²

1/2 × 3.14 × 3²

14.13 m²

Area of irregular shape = 27 + 14.13

Area of irregular shape = 41.13

Area of irregular shape is 41.13m².

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Answer:

\(\frac{9}{16}\)

Step-by-step explanation:

We first distribute \(\frac{3}{4}\):

\(\frac{3}{4} (\frac{1}{2}) +\frac{3}{4} (\frac{1}{4} )\)

\(\frac{3}{8} +\frac{3}{16}\)

We find the common denominator and simplify:

\(\frac{6}{16} +\frac{3}{16}\)

\(\frac{9}{16}\)

Answer:

\(\boxed{\boxed{\sf 1 }}\)

Step-by-step explanation:

\(\sf 9p^2 \:if\: \:p=\cfrac{1}{3}\)

__________

\(\sf 9\left(\cfrac{1}{3}\right)^2\)

\(\sf {Calculate\: 1 \:to \:the \:power\: of \:1=1}\)

\(\longmapsto \sf 9\times \left(\cfrac{1}{3}\right)^2\)

\(\sf Now, \: calculate \: \frac{1}{3} \: to\: the\: power\: of \:2 \:which\: will\: give\: you\: \frac{1}{9}\)

\(\longmapsto \sf 9\times \left(\cfrac{1}{9}\right)\)

\(\sf Multiply\: 9\: and\: \frac{1}{9} =1\)

\(\longmapsto 1\)

___________________________

The correct interpretation is: With 95% confidence, the mean cadmium level of all mushrooms of this type is between the interval's bounds.

To calculate the 95% confidence interval for the mean cadmium level of all mushrooms of this type, we can use the formula:

Confidence Interval = sample mean ± (critical value) * (population standard deviation / √sample size)

Given that the sample size is 12 and the population standard deviation is 0.35 ppm, we need to find the critical value corresponding to a 95% confidence level. Looking at the provided table of areas under the standard normal curve, we find that the critical value for a 95% confidence level is approximately 1.96.

Now, let's calculate the confidence interval:

Confidence Interval = 6.42 ppm ± (1.96) * (0.35 ppm / √12)

Calculating the expression inside the parentheses:

(1.96) * (0.35 ppm / √12) ≈ 0.181 ppm

So, the confidence interval becomes:

Confidence Interval = 6.42 ppm ± 0.181 ppm

Interpreting the 95% confidence interval:

A. 95% of all mushrooms of this type have cadmium levels that are between the interval's bounds. This statement is not accurate because the confidence interval is about the mean cadmium level, not individual mushrooms.

B. There is a 95% chance that the mean cadmium level of all mushrooms of this type is between the interval's bounds. This statement is not accurate because the confidence interval provides a range of plausible values, not a probability statement about a single mean.

C. 95% of all possible random samples of 12 mushrooms of this type have mean cadmium levels that are between the interval's bounds. This statement is accurate. It means that if we were to take multiple random samples of 12 mushrooms and calculate their mean cadmium levels, 95% of those sample means would fall within the confidence interval.

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The limiting speed of particle can be obtained as 12 cm/sec.

A linear equation for the given case can be written by assuming any variable as the unknown quantity. Then, as per the given data the required operations are done and it is equated to some value.

The mass of particle is given as 6 grams.

Suppose the limiting speed be x cm/s.

As per the given question, the following equation can be formed as below,

6 × 980 = 490x

⇒ x = (6 × 980)/490

⇒ x = 12

Hence, the value of the limiting speed is 12 cm/sec.

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The number of video games that Max will have left when he keeps one is 18 games.

It should be noted that the total amount that he has is $625.95.

Cost of each video game = $32.10

Therefore, the number of games that he can buy will be:

= Amount / Cost of game

= $625.95 / $32.10

= 19.5

= He can buy 19 games.

Therefore, if he keeps one, the number left will be:

= 19 - 1 = 18

He I'll have 18 left.

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The polar equation r for the conic with its focus at the pole and the given eccentricity and directrix is given by r = -7 cos θ / (cos θ + 1).

To find a polar equation for the conic with its focus at the pole and the given eccentricity and directrix, use the formula given below: r = (ed) / (1 + e cos θ)The given values of the eccentricity and directrix are e=1 and x=-7, respectively.

In order to convert the rectangular form of the directrix to polar form, we will use the relation that x = r cos θ where r is the radial distance from the pole and θ is the angle measured in the counterclockwise direction from the polar axis.We have x = -7.

Using the above relation, we get:r cos θ = -7⇒ r = -7 / cos θNow, substituting the given value of e = 1 and d = -7 / cos θ in the formula:r = (ed) / (1 + e cos θ)= (1) (-7 / cos θ) / (1 + 1 cos θ)= -7 cos θ / (cos θ + 1)

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Answer: Option 2

2.2 x 1.25 = 2.75

10-2.75=7.25

The blocks that were used by both mino and her brother is 18

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

The block of the dimension: 3 by 2 by 1 (see attachment)

When 2 more layers are added on top of the blocks, we have the following dimensions: 3 by 2 by 3

The number of blocks that were used by both mino and her brother is the product of the dimensions

So, we have

Blocks = 3 * 2 * 3

Evaluate

Blocks = 18

Hence, the blocks that were used by both mino and her brother is 18

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Complete question

Mino built this shape with her blocks. Her brother added 2 more layers just like Minos on top. how many blocks were used by both mino and her brother

See attachment

Answer:

- 120

Step-by-step explanation:

call x is the number you want to find

Answer: A

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Step-by-step explanation:

let's first transform these terms into real fractions :

2/5 = 2/5

4 1/8 = (4×8 + 1)/8 = 33/8

2 1/4 = (2×4 + 1)/4 = 9/4

first we need to handle the division (remember the priorities of arithmetic operations) :

-33/8 / -9/4 = (-33×4) / (-9×8) = 33 / (9×2) = 33/18

then we have to calculate

2/5 + 33/18

to do that we have to bring both fractions to the same denominator (must be divisible by 18 and by 5, so in this case it is 5×18 = 90) :

2/5 = 2/5 × 18/18 = 36/90

33/18 = 33/18 × 5/5 = 165/90

so,

36/90 + 165/90 = 201/90 = 67/30 = 2 7/30