After eating dinner at a restaurant, Lucy's bill before tax is $48.00. The sales tax rate is 8%. Lucy decides to leave a 20% tip for the waiter based on the pre-tax amount. How much money will Lucy pay total, including tax and the tip?

Answer:

12

Step-by-step explanation:

√7 =2.65

√200 = 14.14

so 3,4,5,6,7,8,9,10,11,12,13,14

Answer:

i think a is 6912:)

i thin b is 359424:)

Step-by-step explanation:

i'm so sorry if it's wrong <3

The answers for the given problem are as (a) the commission made by Olivia in a week is $288 and (b) the total commission for a year is $14976.

A percentage is a value that indicates 100th part of any quantity.

A percentage can be converted into a fraction or a decimal by dividing it by 100.

And to convert a fraction or a decimal into percentage, they are multiplied by 100.

Given that,

The price of stocks sold = $7200.

The commission percentage = 4%.

(a) The commission made by Olivia per week is found as,

4% of 7200

= 4/100 × 7200

= 288

(b) Considering 52 weeks in a year, the commission made by her in a week is  given as,

52 × 288

= 14976

Hence, the commision made by her in a week is $288 and the total commission for a year is $14976.

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Answer:

$7 per magazine sale

Step-by-step explanation:

1 magazine = $2

$5 per magazine

$7 per magazine sold

Answer:

32%

Step-by-step explanation:

Answer:

x = 10

Step-by-step explanation:

1. (3x + 8) and (52) are both complementary angles, which means that they add up to 90 degrees. Therefore, we can set up an equation of: \((3x+8) + 52 = 90\)

2. (Solving)

Step 1: Simplify both sides of the equation.

Step 2: Subtract 60 from both sides.

Step 3: Divide both sides by 3.

Therefore, x = 10.

Answer:

1

Step-by-step explanation:

1+3 = 4  4*7 = 28

it's 1 because 28/7 = 4 and you add 3 to the number so 1 + 3 = 4 * 7 = 28 is correct.

Answer:

8 1/10 as a mixed number sorry if I'm wronge

Answer:

should be 314.16 possible that is incorrect because I calculated it by pie and not by 3.

Answer:

A = 314 cm^2

Step-by-step explanation:

A = pi x r^2

A = 3.14 x (10 x 10)

A = 3.14 x 100

A = 314 cm^2

The graph that represents this proportional situation would be a straight line with a slope of 0.75 (7.5/10) that passes through the point (10, 7.5).

You should consider the ratios between the two variables to determine whether a relationship is proportional. A proportionate relationship exists when the ratio remains constant. The relationship will no longer be proportionate if the ratio changes.

The ratio of the y-coordinate to the x-coordinate must be determined for a specific point on the graph in order to determine the constant of proportionality.

The graph that represents this proportional situation would be a straight line with a slope of 0.75 (7.5/10) that passes through the point (10, 7.5). This line represents the relationship between the number of songs and the cost. For every 10 songs purchased, the cost would be $7.50.

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To determine the sign of the sum of two integers when one integer is positive and the other is negative, we can follow a simple rule based on their magnitudes.

If the magnitude of the positive integer is greater than the magnitude of the negative integer, the sum will be positive. This is because the positive integer outweighs the negative integer, resulting in a positive value.

On the other hand, if the magnitude of the negative integer is greater than the magnitude of the positive integer, the sum will be negative. In this case, the negative integer dominates and determines the sign of the sum.

In both scenarios, the sign of the larger magnitude integer takes precedence and determines the sign of the sum. It is important to note that the sum will always have the sign of the integer with the larger magnitude, regardless of the specific values of the integers involved.

By considering the magnitudes of the integers, we can easily determine the sign of their sum when one integer is positive and the other is negative.

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y₁ =  [1  -4  0  1] and y₂ = [5  1  -6  -1] is the orthogonal basis for w using Gram-Schmidt process.

Given,

The set;

x₁ = [1  -4  0  1]

x₂ = [7  -7  -6  1]

We have to produce the orthogonal basis for w using the Gram-Schmidt process;

Here,

y₁ = x₁ =  [1  -4  0  1]

Now,

Solve for y₂

y₂ = x₂ - [x₂y₁ / y₁y₁] y₁

That is,

y₂ = [7  -7  -6  1] - ( [7  -7  -6  1] [1  -4  0  1] / [1  -4  0  1] [1  -4  0  1] ) × [1  -4  0  1]

y₂ =  [7  -7  -6  1] - (7 + 28 - 0 + 1) / (1 + 16 + 0 + 1) × [1  -4  0  1]

y₂ = [7  -7  -6  1]  - 36/18 × [1  -4  0  1]

y₂ =  [7  -7  -6  1] - 2  × [1  -4  0  1]

y₂ =  [7  -7  -6  1] - [2  8  0  2]

y₂ = [5  1  -6  -1]

That is,

The orthogonal basis for w using Gram-Schmidt process is,

y₁ =  [1  -4  0  1] and y₂ = [5  1  -6  -1]

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The electron domain charge cloud geometry of \(BrF_5\) is trigonal bipyramidal.

To determine the electron domain charge cloud geometry of \(BrF_5\), we need to examine the number of electron domains around the central atom (Br).

\(BrF_5\) consists of one central bromine atom (Br) surrounded by five fluorine atoms (F). Each bond and lone pair of electrons represents an electron domain.

In \(BrF_5\), there are five bonding pairs (Br-F) and no lone pairs around the central bromine atom. Therefore, the total number of electron domains is five.

Based on this information, the electron domain charge cloud geometry of \(BrF_5\) is trigonal bipyramidal.

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Answer:

2x+20=3x-5 (x=25)

Step-by-step explanation:

2x+20=3x-5

-2x+5

25=x

hope this helps ( a brainliest would be nice too)

The number is equal to 25.

To write the word problem as an algebraic equation:

In this exercise, we are required to translate the word problem into a mathematical (algebraic) expression and solve for the unknown variable (number):

Translating the word problem into an algebraic expression, we have;

A number is doubled and then increased by 20:

\(2n + 20\)   ...equation 1.

The result is 5 less than 3 times the number:

\(3n -5\)  ...equation 2

Equating the two equations, we have:

\(2n+20=3n-5\\\\3n-2n=20+5\\\\n=25\)

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Answer:

C, D, E, F

Step-by-step explanation:

Remember y=mxb?

m is slope and b is y-intercept

so y=2/7x-9

Remember that slope is RISE/RUN so for every 2 squares that you go up, you go 7 squares to the right.

Also remember that since your graph is going thru your Cartiesian Plane in quadrent 4, your y value in your ordered pairs will most probably be a negative.

Please see the image to help you viualize this.

The flux of the electric field through the spherical surface is zero.

The flux of the electric field through a closed surface is given by the Gauss's law, which states that the flux is equal to the total charge enclosed divided by the dielectric constant of vacuum (ε₀).

In this case, the spherical surface encloses charges of magnitude 4q, 5q, q, and -7q, but the net charge enclosed is zero since the charges cancel each other out. Therefore, the flux through the spherical surface is zero in this case.

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The equation of the line in point-slope form and in​ slope-intercept form are both y = 1/2x.

1. Point-Slope Form: y - y1 = m(x - x1), where m is the slope of the line and (x1, y1) is a point on the line.

2. Slope-Intercept Form: y = mx + b, where m is the slope of the line and b is the y-intercept.

3. Standard Form: Ax + By = C, where A and B are coefficients that define the slope and y-intercept of the line.

If a line has a slope of 1/2 and passing through the origin, then:

m = 1/2

(x1, y1) = (0,0)

Plug in the values in the point-slope form and in​ slope-intercept form.

point-slope form

y - y1 = m(x - x1)

y - 0 = 1/2(x - 0)

y = 1/2x

slope-intercept form

y = mx + b

y = 1/2x + b

Substitute the values of x and y and solve for the y-intercept, b.

0 = 1/2(0) + b

b = 0

y = 1/2x + 0

y = 1/2x

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y(t) = Ce^(2t) is indeed a solution to the given differential equation\(y'(t) - 2y(t) = 0.\)

To verify that the given function y(t) = Ce^(2t) is a solution of the differential equation y'(t) - 2y(t) = 0, we'll first find y'(t) and then substitute y(t) and y'(t) into the differential equation.

1. Find the derivative of y(t) with respect to t:
\(y'(t) = d(Ce^(2t))/dt = 2Ce^(2t)\)

2. Substitute y(t) and y'(t) into the differential equation:
y'(t) - 2y(t) = 0
\(2Ce^(2t) - 2(Ce^(2t)) = 0\)

As we can see, the equation holds true, and thus, \(y(t) = Ce^(2t)\) is indeed a solution to the given differential equation \(y'(t) - 2y(t) = 0.\)

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Answer:

1/6

Step-by-step explanation:

2/3 divided by 4= 2/3 x 1/4

2/3 x 1/4=2/12

2/12 simplifies to 1/6

The correct answer is: III only. Variance investigation is typically based on a cost-benefit analysis.

Statement I is incorrect because the relative size of a variance, in comparison to other variances, can be important in understanding its significance.

Statement II is incorrect because variance investigation does not focus solely on unfavorable variances. Both favorable and unfavorable variances are considered during the investigation.

Statement III is true. Variance investigation is typically based on a cost-benefit analysis, where the potential benefits of investigating and addressing variances are weighed against the associated costs.

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5,200 you round it to 5,200

Answer:

Step-by-step explanation:

depending on if youre rounding to the nearest hundredth or thousandth ^^

An upper bound on the error that can result from approximating cos(x) by 1−(x^2/2!) + (x^4/4!) over the interval [-0.7, 0.7] is 0.00567.

The Taylor series expansion for cos(x) is given by cos(x) = 1 - (x^2/2!) + (x^4/4!) - (x^6/6!) + ... . The approximation 1−(x^2/2!) + (x^4/4!) is a truncated version of this series. The error between the actual value of cos(x) and the approximation can be estimated using the Lagrange form of the remainder term, which gives an upper bound on the error.

In this case, the Lagrange remainder term is given by Rn(x) = (f^(n+1)(c)/n+1!) * (x-x0)^(n+1), where f^(n+1)(c) is the (n+1)th derivative of cos(x) evaluated at some point c in the interval [-0.7, 0.7].

The maximum value of Rn(x) over the interval [-0.7, 0.7] occurs when x = ±0.7, and the upper bound on the error is found by evaluating Rn(±0.7).

The resulting upper bound is approximately 0.00567.

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Answer:

to get the variable by itself on one side of the equation and a number on the other side of the equation. To isolate the variable, you have to reverse the operations acting on the variable.

Step-by-step explanation:

The Solution:

Given the function:

We are asked to find and interpret f(10).

Therefore, the correct answer is 190.26

This means when x=10, f(10)=190.26

Answer:

A.

1.

125

2.

47.5

B.

30

Exp.:

A.

1. (60x100)/48

2. 57/ 120(fraction)  x 100% = 47.5%

B.  (24×100)÷80

Answer:

I think it would be

Sums

1) a + -5

2) m + -n

Differences

1) 7 - -3

2) a - -5

Step-by-step explanation:

Answer:

22/65/53 +r 76 = 228594

Step-by-step explanation:

First 22/65/53+r 76 = 228594

The number of permutations without consecutive vowels at either end will be \(4560\)

Let \(X = \{A, B, C, D, E, F, G\}\)

Let \(Perm(X)=\{\text{All possible permutations of the elements of X}\}\)

Let \(V = \{A, E\}\)

Let \(Perm(\overline{V})= \{\text{All possible permutations of the consonants in X}\}\)

Permutations with consecutive vowels at either end will have one of the following forms

\(AE\overline{v} \text{ or } EA\overline{v} \text{ or } \overline{v}AE \text{ or } \overline{v}EA\\\text{for } \overline{v} \in Perm(\overline{V})\)

In all, we will have

\(4\times |Perm(\overline{V})|=4\times 5!\)  permutations

So, the number of permutations without consecutive vowels at either end will be

\(|Perm(X)|-4\times|Perm(\overline{V})|=7!-4\times 5!=4560\)

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Answer:

the answer is A

Step-by-step explanation:

I got it right Good luck and I hope it helps

Answer:

its A

Step-by-step explanation:

good luck