Scarlett is going to invest in an account paying an interest rate of 4% compounded daily. How much would Scarlett need to invest, to the nearest ten dollars, for the value of the account to reach $54,000 in 8 years?

A) If the change in b results in a smaller feasible region, then the optimal objective value will either remain the same or increase.

B)  If the change in b results in a larger feasible region, then the optimal objective value may remain the same or decrease.

In linear programming, the objective is to minimize or maximize an objective function subject to certain constraints. One common constraint is that the solution must be in the feasible region, which is defined by the set of all solutions that satisfy the constraints.

Recall that the constraints are given by Ax >= b, where A is a matrix of coefficients and x is a vector of variables. If we increase one component of b, say bi, then the set of solutions that satisfy the constraints will change. Specifically, any solution that previously satisfied Ax >= b may no longer satisfy the constraints, since the left-hand side of the inequality is fixed while the right-hand side has increased. In other words, the feasible region may shrink or shift in response to the change in b.

Now let's consider the effect on the optimal objective value. Recall that the objective function is given by cx, where c is a vector of coefficients. The optimal objective value is the minimum (or maximum) value of cx over all solutions in the feasible region. If we increase one component of b, then the optimal objective value may or may not change, depending on the specifics of the problem.

To see why, let's think about what happens to the feasible region. As we noted above, the feasible region may shrink or shift in response to the change in b. If the optimal solution was previously at the boundary of the feasible region, then it may no longer be feasible, and the optimal objective value will increase. On the other hand, if the optimal solution was previously in the interior of the feasible region, then it may still be feasible, and the optimal objective value will remain the same.

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Answer:

1. The interest is $ 117.

2. The amount is $ 1,317.

Step-by-step explanation:

The following data were obtained from the question:

Principal (P) = $ 1,200

Rate (R) = 3.25%

Time (T) = 3 years

Interest (I) =..?

Amount (A) =...?

1. Determination of the interest.

Principal (P) = $ 1,200

Rate (R) = 3.25%

Time (T) = 3 years

Interest (I) =..?

I = P × R × T / 100

I = 1200 × 3.25 × 3 / 100

I = $ 117

Therefore, the interest is = $ 117

2. Determination of the amount.

This can be obtained as follow:

Interest (I) = $ 117

Principal (P) = $ 1,200

Amount (A) =?

Amount (A) = principal (P) + interest (I)

A = P + I

A = 1200 + 117

A = $ 1,317

Therefore, the amount at the end of 3 years is $ 1,317

Answer: B i think

Step-by-step explanation:

A term can be a number, a variable, product of two or more variables or product of a number and a variable. An algebraic expression is formed by a single term or by a group of terms.

Answer:

---------------------------

There are two triangular faces with base of 16 cm and height of 15 cm and three rectangular faces.

Find the sum of areas of all five faces:

Answer:

\(\frac{2}{\frac{1}{24} }\)

Step-by-step explanation:

2/x = 48

48x = 2

x = (2)/ (1/24)

\(\frac{2}{\frac{1}{24} }\) = 48

Answer:

below

Step-by-step explanation:

Two students are selling cookies at a bake fair. Jake is selling cookies for $2.50 each plus $6 for the packaging. Kevin is selling cookies for $3.25 each plus $3 for the packaging. How ma cookies would both have to sell to make the same amount of money?

2.5x + 6 = 3.25x + 3

2.5x = 3.25x - 3

-0.75x = -3

x = 4 cookies

Best of Luck!

Answer:

4

Step-by-step explanation:

Two students are selling cookies at a bake fair. Jake is selling cookies for $2.50 each plus $6 for the packaging. Kevin is selling cookies for $3.25 each plus $3 for the packaging. How ma cookies would both have to sell to make the same amount of money?

2.5x + 6 = 3.25x + 3

2.5x = 3.25x - 3

-0.75x = -3

x = 4

Computing the total number of counters in the class as 1,108, the mean number of counters that the 46 children have is 24.

The mean refers to the average value.

The average is the quotient of the total value divided by the number of items in the data set.

The number of boys in the class = 26

The number of girls in the class = 20

The total number of boys and girls in the class = 46

The mean number of counters that the boys have = 28

The total number of counters that the boys have = 728 (28 x 26)

The mean number of counters that the girls have =19

The total number of counters that the girls have = 380 (19 x 20)

The total number of counters that the class has = 1,108 (728 + 380)

The average or mean number of counters in the class = 24 (1,108 ÷ 46)

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Answer:

30: 100

31: -13

32: -45

33: 14

34: -32

35: -22

36: 17

Answer:

Step-by-step explanation:

Since they are adjacent the sum of the angles must equal 180 degrees.

17x+4+2x+5=180

19x+9=180

19x=171

x=9 making 17x+4=17(9)+4=157 degrees and 2x+5=2(9)+5=23 degrees

So the two angles are 23 and 157

Answer: spotting trends in data

Step-by-step explanation:

Answer:

The equation of a line in Point-Slope form is y -3=\(-\frac{2}{3}\) *(x+1)

Step-by-step explanation:

Linear equations can take various forms, such as the point-slope formula. This formula gives the slope of a line and the coordinates of a point on it. The point-slope form of a linear equation is written as:

y - y1= m*(x-x1)

In this equation, m is the slope and (x1, y1) are the coordinates of the point.

In this case, you know that the line has a slope of \(-\frac{2}{3}\) and  passes through the point (-1,3). This is, m=\(-\frac{2}{3}\) and (x1;y1)=(-1;3). Replacing:

y -3=\(-\frac{2}{3}\) *(x-(-1))

This is:

y -3=\(-\frac{2}{3}\) *(x+1)

The equation of a line in Point-Slope form is y -3=\(-\frac{2}{3}\) *(x+1)

Recall that the mode of a set of data is the value that occurs most often. The range is the difference between the largest value and the smallest value in a set of data.

To answer these questions we will use the following frequency chart:

From the above table, we get that the mode of the data set is

The largest value of the data set is

and the smallest value is

Therefore, the range is:

Answer:

Mode:

Range:

Answer:

-40

Step-by-step explanation:

-40+12=-28

-28/4

=-7

Answer:

neeeeeeeeeeeeeeeeeuuuuuuuuuuuuu58907

Step-by-step explanation:

Maddy monthly pay is $3958 and her bi-weekly salary is $1827

An equation is an expression used to show the relationship between two or more variables and numbers.

Maddy found a job with an annual salary of $47.5K ($47500). There are 12 months in a year. Hence:

Maddy monthly pay = $47500 / 12 = $3958

Maddy found a job with an annual salary of $47.5K ($47500). There are 52 weeks in a year. Hence:

Maddy bi-weekly salary = ($47500 / 52) * 2 = $1827

Maddy monthly pay is $3958 and her bi-weekly salary is $1827.

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The range of the function m is [1, ∞). Thus, B is correct option.

The dοmain οf a functiοn is the cοllectiοn οf values that can be plugged intο it. This set represents the x values in a functiοn like f. (x). A functiοn's range is the set οf values that the functiοn can take οn. This is the set οf values returned by the functiοn when we enter an x value.

Tο determine the range οf functiοn m, we must first determine the set οf all pοssible functiοn οutput values.

Looking at the function graph, we can see that the lowest point is (3, 1) and the highest point is (∞, ∞).

As a result, the function m has a range of [1, ∞).

We can write: in interval notation:

m ∈ [1, ∞) range.

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ANSWER

343 cubic feet

EXPLANATION

We have that each side of the cube-shaped candle has an area of 49 square feet.

The shape of the faces of a cube is a square. The area of a square is given as:

Where l = length of side of the face

Therefore, we have that:

The length of the sides of the cube is 7 feet, therefore, its volume is:

Answer:

tell mariam to ask the shop keeper

Step-by-step explanation:

Answer:

3/4x5=?

Step-by-step explanation:

Three quarters times five in decimal form is a really simple problem we will first start with the 3/4x5, as we know 3/4 is equivalent to 0.75 so we already have it in decimal form and we would then multiply, 0.75x5=3.75.

In conclusion 3/4x5 in decimal form is 3.75

Answer:

give brainiest and ill answer all ur questions correctly

Step-by-step explanation:

The vertices of the feasible region is (4, 3)

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

x + y ≤ 7

x - 2y ≤ -2

x ≥ 0

y ≥ 0

Express as equations

So, we have

x + y = 7

x - 2y = -2

Subtract the equations

3y = 9

So, we have

y = 3

Next, we have

x + 3 = 7

This gives

x = 4

Hence, the vertex of the feasible region is (4, 3)

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\(-1~~,~~\stackrel{-1+4}{3}~~,~~\stackrel{3+4}{7}~~,~~\stackrel{7+4}{11}~~,~~\stackrel{11+4}{15}\qquad \qquad \stackrel{\textit{common difference}}{d = 4} \\\\[-0.35em] ~\dotfill\\\\ n^{th}\textit{ term of an arithmetic sequence} \\\\ a_n=a_1+(n-1)d\qquad \begin{cases} a_n=n^{th}\ term\\ n=\textit{term position}\\ a_1=\stackrel{\textit{first term}}{-1}\\ d=\stackrel{\textit{common difference}}{4} \end{cases}\implies a_n=-1+(n-1)4 \\\\\\ a_n=-1+4n-4\implies a_n=4n-5\)

The cost of making 35 items is 1100 and the domain is (-∞,∞)

The cost of making 35 items :

plug the value into the cost equation

C(35) = 10(35) + 800

C(35) = 350 + 800

C(35) = 1100

Hence, cost of making 35 items is 1100

Since the value of X can be any real number, we can plug in any real number for x and get a real number output.

Hence, the domain = (-∞,∞)

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Answer:

v = 5

Step-by-step explanation:

Collect like-terms:

\(8v = 3v + 25\)

\(8v - 3v = 25\)

\(5v = 25\)

Divide both sides by 5 to make v the subject:

\(v = 5\)

Answer: 0.9554

Step-by-step explanation:

Let \(\overline{X}\) be the sample mean.

Given: Mean weight\((\mu)\) of an adult is 65 kilograms with a standard deviation\((\sigma)\) of 13 kilograms.

Sample space = 92

The probability that the sample mean would be greater than 62.7 kilograms:

\(P(\overline{X}>62.7)=P(\dfrac{\overline{X}-\mu}{\dfrac{\sigma}{\sqrt{n}}}>\dfrac{62.7-65}{\dfrac{13}{\sqrt{92}}})\\\\=P(Z>-1.70)\\\\=P(Z<1.70)\ \ \ \[P(Z>-z)=P(Z<z)]\\\\=0.9554\)[ By p-value table]

Hence, the required probability= 0.9554

Answer:

-80

-60

Step-by-step explanation:

both are negative

Answer:

0 = 1

if i'm wrong i'm rlly rlly sorry!!

Answer:

Step-by-step explanation:

sd

Considering the sequences given, the first number that appears in both sequences is given by: 45.

The rule is multiply by 3 starting from 5, hence the numbers are:

(5, 15, 45, 135, ...).

The rule is add 9 starting from 18, hence the numbers are:

(18, 27, 36, 45, ...).

45 is the first number that appeared in both sequences.

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Answer: In that picture the slope is increasing

Step-by-step explanation: positive rise and positive run (uphill from left to right)

Answer:

e

Step-by-step explanation:

e