If the price of a textbook is $40 before tax is added on, and tax is 10%, what will the final price of the textbook be?

Young adults might value credit in case of an emergency for several reasons. Firstly, credit provides financial flexibility, allowing them to access funds quickly when unexpected expenses arise.

This can be essential for covering costs related to medical emergencies, car repairs, or other unforeseen events that may strain their limited savings. Secondly, young adults often have less established financial safety nets than older individuals. They may not have significant savings, insurance policies, or support from family members to fall back on during emergencies. Credit, in this case, acts as a temporary financial cushion, enabling them to manage immediate needs without resorting to high-interest loans or further jeopardizing their financial stability.

Thirdly, responsible use of credit can help young adults build a positive credit history. Demonstrating responsible borrowing and repayment habits will make it easier for them to access more favorable credit terms in the future, such as lower interest rates or higher credit limits. This can prove valuable when making significant purchases, like buying a home or financing higher education.

Lastly, having access to credit can also provide young adults with a sense of financial independence and empowerment. Knowing they have the means to handle emergencies without relying on others can boost their confidence in managing personal finances and help them make more informed financial decisions as they navigate adulthood.

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Answer:

A

Step-by-step explanation:

anything in parenthesis will be multiplied by the number on the outside only if it has no expression between that number and the parenthesis, therefore 2 will multiply X and 5

Answer:

n/8= -32

-256

Step-by-step explanation:

Answer:

P(x) = 5.15 x + 1500

Step-by-step explanation:

The monthly operating costs = $1500 plus $0.85 per delivery.

The service generates revenue= $6 for each delivery

If in a given month the deliveries number was = x  then;

Operating cost  function : C(x) = 0.85x + 1500

Revenue generated function R(x) = 6x

Profit = Revenue - cost

P(x) = R(x) - C(x)

P(x) = 6x - 0.85x + 1500

P(x) = 5.15 x + 1500

Answer:

R = (0,-8)

Step-by-step explanation:

Let's look at the difference between S, and the midpoint M.

S(6,0) - M(3,-4) = N(3,4) This will help us find R(x,y)

Next, take M, and subtract N from it.

M(3,-4) - N(3,4) = (0,-8). This is the value of R.

The product of 5 × 5ab × 5, a, b is 125ab5 when written in its most Simple form

The expression 5 × 5ab × 5, a, b is equal to 125ab5. The reasoning is that when we multiply 5 by 5ab, we get 25ab, which we then multiply by 5 to get 125ab. Since a, b are variables, the product 125ab5 is the product of 5 × 5ab × 5, a, b, when written in its most simple form.

The expression 5 × 5ab × 5, a, b is an algebraic expression, which consists of numbers, variables, and operators. Variables are usually represented by letters or other symbols, while operators such as +, -, ×, ÷, ^ are used to indicate mathematical operations such as addition, subtraction, multiplication, division, and exponentiation. In algebra, expressions can be simplified by combining like terms, expanding brackets, and applying other rules of arithmetic.

The most simple form of an expression is the one that cannot be further simplified.In the given expression, 5 × 5ab × 5, a, b, we can see that the number 5 appears three times, so we can simplify the expression by multiplying the numbers together.

Similarly, we can multiply the variables a and b together to get the term ab. Finally, we write the result as 125ab5, which is the product of 5 × 5ab × 5, a, b, in its most simple form.

Therefore, the product of 5 × 5ab × 5, a, b is 125ab5 when written in its most simple form.

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Answer:

it is 500.625

Step-by-step explanation:

it is the right one

Answer:

2.98

Step-by-step explanation:

First find 3% of 16.05 which is 0.48.

Then add 0.48 to 16.05 which is 16.53.

Then multiply .18 by 16.53 which gets you 2.98

Hope it helps

Answer:

To find the amount of the sales tax, we need to multiply the bill amount by the tax rate of 3% or 0.03:

Sales tax = 0.03 x $16.05 = $0.48

To find the total amount of the bill after the sales tax was added, we need to add the bill amount to the sales tax:

Total bill = $16.05 + $0.48 = $16.53

To find the amount of the tip, we need to calculate 18% of the total bill after the sales tax was added:

Tip = 0.18 x $16.53 = $2.98

Rounding to the nearest cent, Penelope left a tip of $2.98.

Step-by-step explanation:

Answer:

See below!

Step-by-step explanation:

254, 202, 284, 269, 151, 258, 202

Mean of the data:

\(\displaystyle Mean= \frac{Sum \ of \ data}{number \ of \ data} \\\\Mean = \frac{254+202+284+269+151+258+202}{7} \\\\Mean=\frac{1620}{7} \\\\\boxed{Mean = 231.4}\)

Median of data:

Arrange the data in increasing order.

151, 202, 202, 254, 258, 269, 284

The middle value = 254

So,

Mode in data:

The mode, here, is 202. (occurring 2 times.)

So,

\(\rule[225]{225}{2}\)

Answer:

the total number of participants required is 90

Step-by-step explanation:

Given the data in the question;

Factor A has three levels

Factor B has three levels

sample size n; ten participants

we have two Way ANOVA involving Factor A and Factor B.

Now,

{ Total # Participants Required } = { #Levels factor A } × { #Levels factor B } × { Sample size of each level }

we substitute

{ Total # Participants Required } = 3 × 3 × 10

{ Total # Participants Required } = 9 × 10

{ Total # Participants Required } = 90

Therefore, the total number of participants required is 90

Answer:

J' : (8, 1)

K' : (5, 1)

L' : (3, 6)

M' : (0, 6)

Step-by-step explanation:

the rule for reflection over the y-axis is (x, y) → (-x, y)

therefore:

J' : (8, 1)

K' : (5, 1)

L' : (3, 6)

M' : (0, 6)

Answer:

Step-by-step explanation:

If you reflect over the y axis the y coordinate stays the same and the x coordinates changes sign, so:

So  J (-8, 1)  reflects to J'  (8, 1)

K' is (5, 1)

L' is (0, 6)

M' is (3, 6)

After answering the prοvided questiοn, we can cοnclude that Sο, we can  equatiοn chοοse values οf a and b such that Cοv(X¯, μ) < (1 − a)/2 σ/n and MSE(θˆ) > MSE(θ), like a = 0.9 and b = 0.5.

An equatiοn in mathematics is a prοcedure that affects the equaIity οf equatiοns. Twο sides οf an equatiοn are cοnnected by the algebraic οperatοr (=). Fοr instance, the claim "2x + 3 = 9" asserts that the cοmment "2x + 3" means the value "9" in tοtal. The gοal οf sοlving equatiοns is tο identify the factοr(s) that will cause the equatiοn tο be true.

Equatiοns may be straightfοrward οr cοmplex, cοnstant οr nοn-linear, and cοntain οne οr mοre variables. Examples include raising the variable x tο the pοwer οf 2 in the equatiοn "x² + 2x - 3 = 0," fοr example. In mathematics, particularly in algebra, equatiοns, and geοmetry, lines are frequently used.

MSE(θˆ) = E[(θˆ − θ)²]

= E[((X1 + · · · + Xn)/n − μ²)²]

= E[((X1 − μ) + · · · + (Xn − μ))/n]²

= V[(X1 − μ)/n + · · · + (Xn − μ)/n]

= V[(X1 − μ)/n] + · · · + V[(Xn − μ)/n] (since the Xi's are independent)

Thus, MSE(θˆ) = σ²/n

b. Fοr MSE(θˆ) < MSE(θ), we want:

We can see that this is satisfied fοr any value οf a such that 0 < a < 1.

c. Fοr MSE(θˆ) > MSE(θ), we want:

σ/n > V[(1 − a)X¯ + aμ] = (1 − a)²Var(X¯) + aVar(μ) + 2a(1 − a)Cοv(X¯, μ)

σ²/n > (1 − a)(σ²/n) + 2a(1 − a)Cοv(X¯, μ)

Cοv(X¯, μ) < (1 − a)/2 σ²/n

Sο, we can chοοse values οf a and b such that Cοv(X¯, μ) < (1 − a)/2 σ/n and MSE(θˆ) > MSE(θ), such as a = 0.9 and b = 0.5.

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Using word problems and equations, Sarah worked for 10 hours and Penelope worked for 5 hours

This is a word problem and in order to solve this, we need to translate mathematical statements in form of word problems into mathematical equations.

Let's assume that Sarah worked x hours.

Given that Sarah can iron 30 shirts per hour, the total number of shirts she ironed is 30x.

Since Penelope worked half the hours of Sarah, Penelope worked x/2 hours.

Given that Penelope can iron 35 shirts per hour, the total number of shirts she ironed is 35 * (x/2) = (35/2)x.

The total number of shirts ironed by both Sarah and Penelope is 475 shirts.

So, we can write the equation: 30x + (35/2)x = 475.

To solve this equation, we can simplify it: (60/2)x + (35/2)x = 475, which becomes (95/2)x = 475.

Now, we can solve for x: x = (475 * 2) / 95 = 10.

Therefore, Sarah worked 10 hours and Penelope worked half of that, which is 5 hours.

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Answer:

D. 15/60

Step-by-step explanation:

The equivilent fractions to 3/10 are:

3/10, 6/20, 9/30, 12/40, 15/50, 18/60, 21/70, 24/80, 27/90, 30/100, 33/110, 36/120, 39/130, 42/140, 45/150, 48/160, 51/170, 54/180, 57/190, 60/200...

Here is the website you can find that: https://coolconversion.com/math/equivalent-fractions/__3/10_

15/60 is not on there.

Answer:

the first one is 48 i will have to do more solving for it but when i do i will edit my answer

Step-by-step explanation:

Answer:

second answer would be 11.9716

Step-by-step explanation:

Answer:

(a)Jupiter

(b)24.4 km

(c)\(1.33 \times 10^{27}$ kg\)

Step-by-step explanation:

Part A

The planet with the greatest ma.ss is Jupiter.

It has a ma.ss of \(1.898 X 10^{27}$ kg\)

Part B

The diameter of Mercury = 4.88 X 10

Radius = Diameter/2

Therefore:

Radius of Mercury

\(=\dfrac{4.88 X 10}{2}\\ =2.44 X 10\\=24.4$ km\)

Part C

\(M$a.ss of Saturn = 5.68 X 10^{26}\\$Mass of Jupiter = 1.898 X 10^{27}\\$Difference in their ma.ss =(1.898 X 10^{27})-(5.68 X 10^{26})\\=1.33 \times 10^{27}$ kg\)

Answer:

Isoceles

Step-by-step explanation:

Use the distance formula for each side

\(\sqrt{(x_{2} -x_{1} )^2 + (y_{2} - y_{1})^2\)

(x1, y1)  (x2, y2)

Answer:

Ok first of all you are suppose to solve it

Step-by-step explanation:

and then there is not enough explanations for me to answer but looking at it it looks like you have to put those numbers in the graph

Answer:

I get x = 3 and y = 2

Step-by-step explanation:

Add the 2 equations and you get 2x = 6, so x = 3.

Substitue 3 for x in both original equations and solve for y. If you get the same y for both equations you have an answer.

I get x = 3 and y = 2

The orthogonal projection of vector v onto vector w in R^3 is (-54/14, -159/70, -159/35).

To find the orthogonal projection of v onto w, we need to calculate the scalar projection of v onto w and multiply it by the unit vector of w. The scalar projection of v onto w is given by the formula:

proj_w(v) = (v⋅w) / (w⋅w) * w

where ⋅ denotes the dot product.

Calculating the dot product of v and w:

v⋅w = (-7)(-5) + (6)(-3) + (-6)(-6) = 35 + (-18) + 36 = 53

Calculating the dot product of w with itself:

w⋅w = (-5)(-5) + (-3)(-3) + (-6)(-6) = 25 + 9 + 36 = 70

Now, substituting these values into the formula, we have:

proj_w(v) = (53/70) * (-5,-3,-6) = (-54/14, -159/70, -159/35)

Therefore, the orthogonal projection of v onto w is (-54/14, -159/70, -159/35).

In simpler terms, the orthogonal projection of v onto w can be thought of as the vector that represents the shadow of v when it is cast onto the line defined by w. It is calculated by finding the component of v that aligns with w and multiplying it by the direction of w. The resulting vector (-54/14, -159/70, -159/35) lies on the line defined by w and represents the closest point to v along that line.

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Answer:

336

Step-by-step explanation:

7x48=

7(8)= 56

7(4)+5= 33

7(48) = 336

Answer:

336

Step-by-step explanation:

Answer:

17/8

Step-by-step explanation:

2⅛ as an improper fraction.

2 x 8 = 16

16 + numerator (1) =17.

17/8 is 2⅛ as an improper fraction

Solution:

To convert the fraction into improper fraction, multiply the whole number with the denominator and add the numerator to the product. The denominator will remain the same.

2 1/8 in improper fraction is 17/8.

Answer:

-4

Step-by-step explanation:

The given ratios 4:2 and 15:10 not equivalent.

The given ratios are 4:2 and 15:10.

Equivalent ratios are those that can be simplified or reduced to the same value. In other words, two ratios are considered equivalent if one can be expressed as a multiple of the other.

Reduce the given ratios to the lowest form.

That is, 4:2 = 4/2 =2/1

=2:1

Now, 15:10=15/10=3/2

3:2

Therefore, the given ratios 4:2 and 15:10 not equivalent.

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Step-by-step explanation:

4(-3)-5y=12

-12-5y=12

-5y=12+12

-y= 24/5

y= -24/5

y= -4⅕

hope it helps

The student's mistake is to factorize the quadratic equation.

The student work is incorrect in Step 2.

The student has not completely factored the polynomial and made a mistake.

The correct factorization should be:

Step 1: 26³ + 12b² - 146Step 2: 2(3b + 13)(b² - 2)

Step 3: 2(3b + 13)(b + √2)(b - √2)

In Step 2, the student has only factored out -2b, but has not completely factored the polynomial.

The correct factorization should be 2(3b + 13)(b² - 2).

To arrive at this factorization, you can use the following steps:

Factor out the GCF (Greatest Common Factor), which is 2. 2(13 + 3b² - 73)

This error occurs when factoring the quadratic b² + 6b - 7 .

The correct factorization is:

b² + 6b - 7 = (b + 7)(b - 1)

However, the student incorrectly called this (b + 7)(b - 7) factored.

The error is in his second element, where -7 is incorrectly written instead of -1.

The correct step is:

Step 2: -2b (b + 7)(b - 1)

Factor the quadratic expression inside the parenthesis. b² + 6b - 7 = (b + 7)(b - 1)

Therefore, the correct factorization is 2(3b + 13)(b + 7)(b - 1).

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The step that there is an error include the following: Step 2: -2b (b² +6b-7) because the requirement is to factor completely.

In Mathematics and Geometry, the standard form of a quadratic equation is represented by the following equation;

ax² + bx + c = 0

Next, we would solve the given polynomial function by using the factoring completely;

-2b³ + 12b² - 14b

-2b(b² - 6b + 7)

-2b(b² - 7b + b + 7)

-2b(b(b - 7) + 1(b - 7))

-2b(b - 7)(b + 1)

In conclusion, this student made a mistake and an error in step 2.

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The physical diameter of the sun will be 1309000km and the percentage of difference between the diameters will be 5.8%.

From the information, the sun has an angular diameter of about 0.5° and an average distance from the Earth of about 150 million km. The angular diameter in radians will be:

= 0.5π / 180

= 0.008727 radians

Distance from the sun = 150 × 10^6

The physical diameter of the sun will be:

= 150 × 10^6 × 0.008727

= 1309000km

The difference between the diameters will be:

= 1390000 - 1309000

= 8.1 × 10^4.

The percentage of difference will be:

= (8.1 * 10^4) / 1390000 × 100

= 5.8%

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Answer:

x = 0

General Formulas and Concepts:

Pre-Algebra

Step-by-step explanation:

Step 1: Define equation

5x - 8(1 + 7x) = -8

Step 2: Solve for x

Step 3: Check

Plug in x into the original equation to verify it is a solution.

Here we see that -8 does indeed equal -8.

∴ x = 0 is a solution of the equation.