what is the sum of -3.561 + 258.6​

The profit for selling 83 bumper stickers is $302.

The profit for selling 83 bumper stickers the revenue for selling x bumper stickers is given by f(x) = 5x dollars and the profit is $30 less than 80% of the revenue.

To solve this problem need to apply the formula for profit and revenue.

The revenue for selling 83 bumper stickers by substituting x = 83 in the equation f(x) = 5x:

Revenue = f(83)

= 5(83)

= 415 dollars

The profit using the formula:

Profit = 0.8 × Revenue - 30

Substituting the value of revenue, we get:

Profit = 0.8 × 415 - 30

Profit = 332 - 30

Profit = 302

The profit for selling 83 bumper stickers is $302.

The concepts of revenue and profit in business.

Revenue is the total amount of money earned from selling goods or services while profit is the amount of money earned after subtracting the costs from the revenue.

The revenue function and a formula for calculating profit allowed us to find the profit for a specific number of sales.

Understanding these concepts and their applications can help individuals and businesses make informed decisions and improve their financial performance.

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Answer:30

Step-by-step explanation: length is 20, Width is 20-10 =10

Area = 20×10=200

Answer:

y = -3x + 12

Step-by-step explanation:

The slope of parallel line is the same as the original line.

If the x-intercept is 4, this as a point can be stated as (4, 0)

We can now solve for the y-intercept.

y = -3x + b

0 = -3(4) + b

0 = -12 + b

12 = b

Put everything we solved for back into the formula [ y = mx + b ]

y = -3x + 12

Best of Luck!

Answer:

equilateral and equiangular

Step-by-step explanation:

Answer

1.25% expressed in fractions is (1/80).

Explanation

We need to express

1 (1/4)% = 1.25%

1.25% = (1.25/100)

Hence, 1.25% expressed in fractions is (1/80).

Hope this Helps!!!

Answer:

B.

Step-by-step explanation:

Answer:

y=-1x+1

Step-by-step explanation:

So the total mass of the spring is 80π, SO one turn of the helix has length 6π.

To find the total mass of the spring, we need to integrate the density over the length of the spring. The density is given by p(x, y, z) = z, and the circular helix is parameterized by r(t) = 3cos(t)i + 3sin(t)j + 4tk.

To set up the integral, we first need to find the length of one turn of the helix. We can do this by finding the arc length of the curve r(t) in the xy-plane:

s = ∫_0^(2π) √[dx/dt]^2 + [dy/dt]^2 dt

= ∫_0^(2π) √[(-3sin(t))^2 + (3cos(t))^2] dt

= ∫_0^(2π) 3 dt

= 6π

So one turn of the helix has length 6π. To find the mass of the spring, we need to integrate the density over the length of the spring:

m = ∫_0^(4π) p(r(t)) ∥r'(t)∥ dt

= ∫_0^(4π) 4t ∥r'(t)∥ dt

To find ∥r'(t)∥, we can differentiate r(t):

r'(t) = -3sin(t)i + 3cos(t)j + 4k

So ∥r'(t)∥ = √[(-3sin(t))^2 + (3cos(t))^2 + 4^2] = 5.

Substituting this into the integral for mass, we get:

m = ∫_0^(4π) 20t dt

= 80π

So the total mass of the spring is 80π.

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At a continuous speed of 20 miles per hour, it takes 2 minutes to cross this bridge.

The unitary method is used to calculate the value of a single unit and then multiply that value by itself in order obtain the desired value. Unitary refers to a single, unique, or solitary unit. As a result,

this method's objective is to establish values in terms of a single unit. If a car can drive 44 kilometer two litres of gas, for instance, the unitary approach can be used to calculate how many kilometers it can travel on one litre of gas. The value of a single unit is determined by the unitary technique, and also the value of the required quantity of units can then be calculated using this value.

given,

 0.76 miles = (4024/5280) miles

Speed =20 miles per hour

Time: =(Distance / Speed) = (0.76/20)

= 0.038 ( in hours )

into minutes = 2 min

At a continuous speed of 20 miles per hour, it takes 2 minutes to cross this bridge

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The steps to connect the components for an internet connection are as follows:

Step 1: Add the cable modem to the workspace. Modems are small boxes that are responsible for converting digital signals to analog signals and vice versa. Modems are necessary for accessing the internet. Therefore, it is important to add the cable modem to the workspace first.

Step 2: Use an RG-6 coaxial cable to connect the modem to the WAN connection on the wall plate.A WAN (Wide Area Network) connection is a type of internet connection that is typically used for larger networks. In order to connect a cable modem to the internet using a WAN connection, an RG-6 coaxial cable is needed.

Step 3: Connect the computer to the cable modem.In order to access the internet, the computer must be connected to the cable modem. This can be done using an Ethernet cable.

Step 4: Connect the modem to the power outlet.Modems require power in order to function. Therefore, it is necessary to connect the modem to a power outlet.

Step 5: Verify the internet connection using the network. After completing the above steps, the internet connection can be verified by opening a web browser and attempting to access a webpage. If the webpage loads successfully, the internet connection has been successfully established.Important: It is important to not click Score Lab until after all tasks have been attempted. Once Score Lab is clicked, the user will advance to the next lab question and will not be able to restart this lab. This applies to all subsequent labs in this exam.

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The triangle is solved using the law of sines and c = 13.25

Given data ,

Let the triangle be represented as ΔABC

Now , the measure of sides of the triangle are

The measure of ∠BAC = 49°

The measure of ∠ACB = 90°

And , the measure of side a = 10 units

From the law of sines ,

a / sin A = b / sin B = c / sin C

10 / sin 49° = c / sin 90°

The triangle is solved using the law of sines , where the measure of sine of angle opposite to the sides are in the same ratio.

The trigonometric value of sin 90° = 1

c = 10 / 0.75470958022

c = 13.25 units

Therefore , the measure of c = 13.25 units

Hence , the triangle is solved and c = 13.25 units

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The complete question is attached below :

If A = 49° and a = 10, find c.​

Answer:

852

Step-by-step explanation:

1420 ×60% as an equation would be: 1420×.60

Answer:

The answer is A 50% of computer technicians earn more than $72,000 annually.             Step-by-step explanation:

dont have 1 i cheated

Answer:

a and c

Step-by-step explanation:

The standard deviation, median and mode of the given data are 3.55, 14.5, and 14,20 respectively.

First, we will find the mean of the data. Mean = Sum of (Age × Frequency) / Sum of Frequency

Mean = (12×4 + 14×15 + 16×1 + 18×13 + 20×14) / (4 + 15 + 1 + 13 + 14)

Mean = 14.45

Approximately, mean is equal to 14.45. Next, we will find the variance. Variance

= [Sum of ((Age - Mean)² × Frequency)] / (Total Frequency)

Squaring the deviations around the mean:

Age Frequency Age - Mean Age - Mean squared (Age - Mean)²×Frequency

12 4 -2.45 6.0025 -24.010 0 14 15 -0.45 0.2025 -0.338 16 1 1.55 2.4025 2.403 18 13 3.55 12.6025 163.828 20 14 5.55 30.8025 431.235 Total 47 593.12

Now, putting the above values in the variance formula:Variance = [Sum of ((Age - Mean)² × Frequency)] / (Total Frequency) Variance

= 593.12 / 47 Variance

= 12.6183

The standard deviation of the above data is the square root of the variance. Standard deviation = √(Variance)

Standard deviation = √(12.6183)

Standard deviation = 3.55

The median of the given data:First, we arrange the data in ascending order:Age Frequency 12 4 14 15 16 1 18 13 20 14The total number of terms is 4 + 15 + 1 + 13 + 14 = 47

The median is the value of the (n+1)/2 th term. Here, n = 47.The value of (n+1)/2 = (47+1)/2 = 24So, the 24th term lies in the 14-15 group. As there are 15 numbers, the median will be (14 + 15) / 2 = 14.5The mode of the given data:

Mode = Value of the Age which has maximum frequency.

The age 14 and 20 have the same frequency of 15 and are maximum.

Therefore, the mode of the given data is 14 and 20.

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Answer:

Step-by-step explanation:

f(x)=-3x²+6x-7

=-3(x²-2x+1-1)-7

=-3(x²-2x+1)+3-7

=-3(x-1)²-4

Greatest value=-4 and is obtained at x=1

Answer:

0.7851

Step-by-step explanation:

Given the data :

First Score

860

980

1200

1040

1100

1200

1180

Second Score

940

1000

1240

1050

1260

1140

1100

Using an online regression calculator, we can obtain the correlation :

The correlation Coefficient r obtained is : 0.7851.

This value of r obtained signifies a strong positive correlation between the first and second score.

A ratio is written in the form a : b. In this case, there are 6 gray keys for every 7 blue keys. So the ratio for gray to blue keys would be 6:7.

Since 6 and 7 don't have common factors, the ratio 6:7 cannot be simplified further.

So the ratio for gray to blue keys is 6:7.

Answer:

He stills owes 9 dollars.

Step-by-step explanation:

-12+-15= -27. -27- 18= 9 .

Answer:

10/14 > 3/7

Step-by-step explanation:

L.C.D of these two fractions is 14:

10/14 = 10/14

3/7 = 6/14

10 is bigger than 6.

The company's cost of preferred stock is 9.08%, which means the correct answer is B) 9.08%. The cost of a service may be determined by the amount of time and expertise required to provide it. In general, cost is an important factor in determining the feasibility and profitability of a project or business venture.

Cost refers to the amount of money that is required to purchase or produce something. For example, the cost of a product may be determined by the amount of materials and labor that went into producing it, as well as any other expenses associated with bringing it to market.

To calculate the company's cost of preferred stock, we need to use the following formula:

Cost of preferred stock = annual dividend / price per share - flotation cost

In this case, the annual dividend is $8.50, the price per share is $97.50, and the flotation cost is 4.00% of the price paid by investors. Plugging these values into the formula, we get:

Cost of preferred stock = $8.50 / $97.50 - 4.00% = $8.50 / $97.50 * (1 - 0.04) = $8.50 / $93.80 = 0.0908

Therefore, the company's cost of preferred stock is 9.08%, which means the correct answer is B) 9.08%.

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Answer:

d

Step-by-step explanation:

you need to match up the sides, heres a drawing it doesnt have work on it but I just looked at the sides while reading the choices and the ones that matched up to the correct sides was D

Answer:

D when you draw the triangles, those sides would be similar.

a. The two population variances are assumed to be equal

The assumption underlying the pooled t-test is that the two population variances are assumed to be equal.

The pooled t-test is used when comparing the means of two independent samples, assuming that the populations from which the samples are drawn have equal variances. This assumption allows for combining the information from both samples to obtain a more precise estimate of the common population variance.

The pooled t-test utilizes a pooled estimate of the common variance, which is calculated by combining the sample variances from both groups. By assuming equal variances, the pooled t-test takes into account the variability within each sample and provides a more accurate assessment of the difference in means.

However, it is important to note that if the assumption of equal variances is violated, the validity of the pooled t-test may be compromised. In such cases, alternative tests, such as the Welch's t-test, which does not assume equal variances, can be employed.

Therefore, the underlying assumption of the pooled t-test is that the two population variances are assumed to be equal.

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Answer:

90?

Step-by-step explanation:

Answer:

Improper fraction: 39/34

Proper fraction: 1 5/34

Decimal: 1.147 (rounded to the nearest thousandths).

Step-by-step explanation:

Solve each expression given, if it has the same result, then the expressions is equivalent. Solve the given expression:

4 7/8 ÷ 4 1/4

First, change all fractions into improper fractions:

4 7/8 = (4 * 8)/8 + 7/8 = 32/8 + 7/8 = 39/8

4 1/4 = (4 * 4)/4  + 1/4 = 16/4 + 1/4 = 17/4

Next, find common denominators. Note that what you do to the denominator, you must do the numerator:

(17/4) * (2/2) = (34/8)

39/8 ÷ 17/4

Solve. First, change the division sign into multiplication, and then flip the second fraction:

39/8 ÷ 17/4 = 39/8 x 4/17

Multiply straight across:

39/8 x 4/17 = (39 x 4)/(8 x 17) = 156/136 = 39/34 (simplified), or 1 5/34.

~

Answer:

\(V=502.5\ cm^3\)

Step-by-step explanation:

The area of the pentagonal base, A = 33.5 cm²

The height of the prsim,h = 15 cm

We need to find the volume of the pentagonal base prism. The formula for the volume of the pentagonal base prism is given by :

\(V=A\times h\\\\V=33.5\times 15\\\\V=502.5\ cm^3\)

So, the required volume is \(502.5\ cm^3\).

Step-by-step explanation:

-6/13*-16/7

+96/91

I hope it helps you

Answer:

\(\frac{96}{91}\) or 51.69

Step-by-step explanation:

\(\frac{-6}{13}\) x reciprocal of \(\frac{-7}{16}\)

Reciprocal of \(\frac{-7}{16}\) is \(\frac{-16}{7}\)

So, the equation would be:-

\(\frac{-6}{13}\) x \(\frac{-16}{7}\)

= \(\frac{96}{91}\)

The product would be \(\frac{96}{91}\).

Simplified form of this is 51.692