Roberta makes $9 an hour plus a 12.5% commission selling jewelry. How much does she
earn on an 8 hour shift in which she sells $380 worth of jewelry?

Answer:

  220

Step-by-step explanation:

You want to use differences to find the pattern and the next term in the sequence 3, 8, 15, 28, 51, 88, 143.

Subtracting each term from the next, we find the sequence of first differences to be ...

  5, 7, 13, 23, 37, 55

The first differences are not constant, so we know the sequence is not linear. They are not in an arithmetic progression, so we know the sequence is not quadratic. They do not have a common ratio, so we know the sequence is not exponential.

The second differences are the differences of the sequence of first differences. They are ...

  2, 6, 10, 14, 18

The differences of the terms of the 2nd-difference sequence are constant: 4.

  4, 4, 4, 4, 4

Constant 3rd differences mean the original sequence can be described by a 3rd degree polynomial. The coefficients found by a calculator are shown in the attachment.

Since we know the third differences are constant, we can work our way back up the chain of differences to find the next term of the original sequence.

  next 2nd difference = 18 +4 = 22

  next 1st difference = 55 +22 = 77

  next sequence term = 143 +77 = 220

The eighth term should be 220.

__

Additional comment

The n-th term is ...

  f(n) = 2/3n^3 -3n^2 +28/3n -4

Answer:

7, 2, -3, -8

Step-by-step explanation:

y = -5x + 2  Substitute in -1 for x

y = -5(-1) + 2

y = 5 + 2

y = 7

y = -5x + 2  Substitute in 0 for x

y = -5(0) + 2

y = 0 + 2

y = 2

y = -5 + 2 substitutes in 1 for x

y = -5(1) + 2

y = -5 + 2

y = -3

y = -5x + 2  Substitute in 2 for x

y = -5(2) + 2

y = -10 + 2

y = -8

Helping in the name of Jesus.

Using the concept of word problems and quadratic equation it will take 1 year until the sum of square of their ages be 45.

Word problems are mathematical problems that are delivered in ordinary words, instead of mathematical symbols.

Part of the problem with dealing with word problems that they first need to be translated into mathematical equations, and then the equations need to be solved.In this problem;

let x represent the number of years from now when the sum of square of their respective age will be

45.(x + 2)² + (x + 5)² = 45

Expanding the brackets;

x² + 4x + 4 + x² + 10x + 25 = 45

2x² + 14x + 29 = 45

2x² + 14x + 29 - 45 = 0

2x² + 14x - 16 = 0

Solving the quadratic equation for x;

x = 1, x = -8

Taking the positive value, the value of x is 1

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Answer:

I would ad a 0on both sides to make the numbers even and both a two digit number

When we evaluate the given expression, A/5 + √(B - C), the result obtained is 9 (option B)

First, we shall determine the value of A. Details below:

Quadratic equation is expressed as:

x² - (sum of root)x + product of root

Comparing the above with x² - 11x + 30, we have

x² - 11x + 30 = x² - (sumof root)x + product of root

Product of roots = 30

Thus,

A = 30

Next, we shall determine the value of B. details below:

f(x) = x² + 5

f(2) = 2² + 5

f(2) = 9

Thus,

B = 9

Next, we shall determine the value of C. Details below:

Let

x + 4 = 0

Thus,

x = -4

Substitute the value of x into x² - 2x - 24 to obtain the remainder as shown below:

Remainder = x² - 2x - 24

Remainder = (-4)² - 2(-4) - 24

Remainder = 0

Thus,

C = 0

Finally, we shall determine value of A/5 + √(B - C). Details below:

A/5 + √(B - C) = 30/5 + √(9 - 0)

A/5 + √(B - C) = 6 + √(9

A/5 + √(B - C) = 6 + 3

A/5 + √(B - C) = 9

Thus, the value of A/5 + √(B - C) is 9 (option B)

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We want to find the expression that represent the given pattern.

To determine this let us substitute 2 into each expression, the expression that gives the same value as the one in the pattern is the one that represent the pattern.

(at n=2, expression must be equal to zero)

At n=2 only one expression gave us zero.

So, the only expression that represent the given pattern is;

The sequence is an AP with a = 11 and d = - 4 , 6th term is - 9 and formula is a + ( n - 1 ) d .

First Term = 11

Second Term = 7

Third Te3rm = 3

Fourth Term = - 1

Fifth Term = - 5

a ) Sequence is 11 , 7 , 3 , - 1 , - 5

b ) a + ( n - 1 ) d

    11 + ( 6 - 1 ) ( - 4 )

     11 + 5 ( - 4 )

 11 - 20 = - 9

c )    a + ( n - 1 ) d

where a is the first term , n is the tem no . and d is the common difference of an AP .

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Answer: The answer for this question is "A": 5 + 15h

to find area multiple length into breath

Answer with Explanation: We have to solve the equation that we are given, the equation is as follows:

The steps necessary to solve it are as follows:

Therefore the answer is x = -9.

A population numbers 12,000 organisms initially and grows by 17.5% each year. The growth function of the population is P =  12,000 x 1.175^t

An exponential growth function can be written as:

P = A (1 + r)ⁿ

Where:

P  = quantity after n periods

n = number of periods

r = growth rate per period

A = initial quantity

In the given problem, the period is the number of years t

A = 12,000

r = 17.5% = 0.175

Hence, the growth function:

P = 12,000  (1 + 0.175)^t

P = 12,000 x 1.175^t

Your question is incomplete, but most probably your question was:

A population numbers 12,000 organisms initially and grows by 17.5% each year. Suppose P represents population, and t the number of years of growth, write the function in terms of t.

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Answer: $1856

Step-by-step explanation: 88 x 58 = 5104. 5104/2.75= 1856

The correct answer is Graph 1: y = cos(x/4)Graph 2: y = cos(x/2)

Based on the given descriptions of the graphs and the patterns they follow, the correct pairs are:

Graph 1: y = cos(x/4) ⟶ This graph has a period of 8 units and matches the pattern described.Graph 2: y = cos(x/2) ⟶ This graph has a period of 4 units and matches the pattern described.

Graph 3: y = cos(x) ⟶ This graph has a period of 2π (or approximately 6.28 units) and matches the pattern described.

Graph 4: (Not used)

Graph 5: (Not used)

Please note that without visual representation, it's difficult to provide a definitive answer. The pairs are based on the descriptions provided and may vary depending on the actual shapes of the graphs.

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a. Qualitative    b. Quantitative discrete    c. Quantitative discrete   d. Qualitative

Question a is qualitative because it does not ask for a numerical answer but rather for a yes or no response. Question b is quantitative discrete because it requires a numerical answer from the respondent, but the answer is limited to a range of possible values (0-30 days). Question c is quantitative discrete because it requires a numerical answer from the respondent, but the answer is limited to a range of possible values (0-7 days). Question d is qualitative because it does not ask for a numerical answer but rather for a yes or no response. All of these questions are part of the Gallup-Healthways Well-Being Index survey, which is used to track trends in U.S. residents' health and wellbeing on a regular basis. The survey covers six areas of health and wellness, and the questions used to measure the Index provide both qualitative and quantitative data.

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Answer:

\( - 8(45) + 482 = - 360 + 482 = 122\)

Answer:

2000

Step-by-step explanation:

2(20x30)+ 2(8x30) + 2(20x8).                                                                       

Answer:

Can you give us measurments?

Step-by-step explanation:

Answer:

25−5v2

oof oof oof oof oof oof oof oof

The firm's federal income tax is $57,168.

To calculate the firm's federal income tax, we need to determine its taxable income first. Taxable income is calculated by subtracting deductions from the firm's total income.

In this case, the firm's total income consists of income from operations, interest income, and dividend income.

Total income:

Income from operations = $231,000

Interest income = $23,100

Dividend income = $29,700

Total income = $231,000 + $23,100 + $29,700 = $283,800

Next, we deduct expenses from the total income. In this case, the only relevant expense is the interest paid to bondholders:

Total expenses = Interest paid to bondholders = $11,000

Taxable income = Total income - Total expenses = $283,800 - $11,000 = $272,800

Now, we can calculate the federal income tax by applying the federal tax rate of 21% to the taxable income:

Federal income tax = Taxable income * Federal tax rate

Federal income tax = $272,800 * 0.21 = $57,168

Therefore, the firm's federal income tax is $57,168.

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Answer:

12-4r

Step-by-step explanation:

4r<12 because r<3 so you flip it.

Answer:

10^12

Step-by-step explanation:

Add the exponents when you multiply numbers with exponents

Answer:

a) 0.0835 = 8.35% of students at the university are statistics majors

b) 0.8623 = 86.23% are at the Main campus

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

\(P(B|A) = \frac{P(A \cap B)}{P(A)}\)

In which

P(B|A) is the probability of event B happening, given that A happened.

\(P(A \cap B)\) is the probability of both A and B happening.

P(A) is the probability of A happening.

This is used for item b.

a. What proportion of students at the university are statistics majors?

12% of 60%(At the main campus).

4% of 25%(Downtown campus).

The rest is 100 - 60 + 25) = 15%.

1% of 15%(Bay Area Campus). Si

\(p = 0.12*0.6 + 0.04*0.25 + 0.01*0.15 = 0.0835\)

0.0835 = 8.35% of students at the university are statistics majors.

b. Of all statistics majors at the university, what proportion are at the Main campus?

Using conditional probability to find the percentage.

Event A: Statistics majors, so \(P(A) = 0.0835\)

Event B: Main Campus

Intersection of A and B:

12% of 60%. So

\(P(A \cap B) = 0.12*0.6 = 0.072\)

Percentage:

\(P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.072}{0.0835} = 0.8623\)

0.8623 = 86.23% are at the Main campus

Answer:

c:2,4,6,8,10,12,14,16,18,20

Step-by-step explanation:

set d:4,8,13,15,20

Answer:

21,42,63,84,105 126,147,168,189, and 210.

I hope this helps.

Answer:

84.37 %.

Step-by-step explanation:

The question is shown in the attached figure.

We have,

\(f(t)=2t^3+10,\ t=3\)

We can find the value of f(t) at t = 3,

\(f(3)=2(3)^3+10\\\\f(3)=64\)

Finding f'(t).

\(f'(t)=6t^2\)

Finding f'(t) at t = 3

\(f'(3)=6(3)^2\\\\=54\)

The relative change is calculated as :

\(\dfrac{f'(t)}{f(t)}=\dfrac{54}{64}\\\\=0.8437\)

In percentage rate of change,

\(\dfrac{f'(t)}{f(t)}=0.8437\times 100\\\\=84.37\%\)

Hence, the required percent change is 84.37 %.

After answering the presented question, we can conclude that Therefore, the interest paid would be $1504.

In mathematics, interest is the amount of money earned or payable on an original investment or loan. You can use either simple or compound interest. Simple interest is calculated as a percentage of the initial amount, whereas compound interest is calculated on the principal amount plus any previously earned interest. If you invest $100 at a 5% annual simple interest rate, you will get $5 in interest every year for three years, for a total of $15.

To calculate the amount of interest paid on a simple interest loan, we use the following formula:

Interest = Principal x Rate x Time

where:

Principal is the amount borrowed

Rate is the annual interest rate as a decimal

Time is the length of the loan in years

In this case, we have:

Principal = $4700

Rate = 0.08 (8% expressed as a decimal)

Time = 4 years

So, the interest paid on this loan would be:

Interest = $4700 x 0.08 x 4

Interest = $1504

Therefore, the amount of interest paid would be $1504.

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Answer: \(C. \frac{125}{7}\)

Step-by-step explanation:

1. Find the sum of the infinite geometric sequence:

\(S = \frac{125}{7}\)

2. Find the correct option:

C

Answer:

1. False —> that’s how you find the perimeter.

2. False —> area is measured in square units.

3. False —> you can only use a multiplication.

4. True —> (2x6) + (2x8) = 28 inches.

5. False —> 5x5 = 25 square meters.

—-

Have a nice day!!

Answer:

Step-by-step explanation:

1 False. The suggestion given is for Perimeter, not area.

2 False. The perimeter is given in units not square units. For example, the Perimeter of square with one side of 7 in is 4 * 7 inches is 28 inches

3 False. You can only use multiplication equations to find a rectangle's area (or at least it is the easiest way to do it.) Higher math courses find areas by using multiplication and addition, but I'm pretty sure you are not in a higher math course.

4.True

5 False. The area of a square is 5 * 5 = 25. Not 4*5 = 20