What is the absolute max on the closed interval [0,1]?

What Is The Absolute Max On The Closed Interval [0,1]?

Answers

Answer 1

Check the picture below.

What Is The Absolute Max On The Closed Interval [0,1]?

Related Questions

If f(x) = sinx, then (f^-1)’(sqrt3/2)=

Answers

Refer to the attached photo.

Find the value of X that makes m n

Answers

8

x = 6

9

x=7

10

x= 15

see explanation in image

because you know that m and n are parralell you can use the vertical angle theorem as well as the fact that lines in a straight angle add to 180

if you have any questions just comment

Name the figure as precisely as possible and solve for x.

Answers

The polygon shown in the figure is trapezoid and the value if x is  .

What is trapezoid?

A trapezoid may be a polygonal shape that has just one try of parallel sides. These parallel sides also are referred to as parallel bases of trapezoid. the opposite 2 sides of trapezoids area unit non-parallel and referred to as legs of trapezoids

Main body:

by using the property of trapezoid ,

1/2(sum of both bases) = mid-line passing through trapezoid

according to question:

x = 1/2(x-8+2x-12)

x = 1/2(3x -20)

2x = 3x - 20

x = 20

Hence value of x is 20.

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What term is used to name a change in the physical properties of a substance which is usually reversible?

Answers

Physical changes are those that occur when a substance's physical properties, such as appearance, texture, color, etc.

Given that,

We have to find what term is used to name a change in the physical properties of a substance which is usually reversible.

We know that,

When only the physical characteristics of a material—such as its size, shape, color, condition, or appearance—alter, this is referred to as a physical change in the substance. Its chemical makeup is unaltered. a few instances of physical change water and sugar being dissolved. wax melting.

Physical changes are those that occur when a substance's physical characteristics, such as appearance, texture, color, odor, melting and boiling temperatures, density, solubility, polarity, etc., change.

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The half-life of Xe-133 is 5.25 days. How much will be left of 25g of the xenon after 11 days?

Answers

5.8525 grams out of 25 grams of xenon will be left after 11 days.

What is half-life?

The amount of time needed for an isotope's radioactivity to decrease to 50% of its initial value.

The given data is

T1/2=5.25 days.

No=25g

T=11 days

We'll have to find the disintegration constant first.

The formula for finding it is

T½ = In2 / λ

T½ = half-life

λ = disintegration constant

λ = In2 / T½

λ = 0.693 / 5.25

λ = 0.132

In(N / No) = -λt

where,

N = final mass of the radioactive sample

No = initial mass of the sample

λ = disintegration constant

t = time for the radioactive decay

In(N/No) = -λt

N / No = e^-λt

N = No(e^-λt)

N = 25 × e^-(0.132 × 11)

N=5.8525 g.

Therefore 5.8525 grams of Xe-133 will be left after 11 days.

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a student sets up the following equation to convert a measurement. (the stands for a number the student is going to calculate.) fill in the missing part of this equation.

Answers

Missing part of the equation is 6.0 × [tex]10^{-8}[/tex] [tex]m^{3}[/tex].

It is given that students sets up the equation (0.060 [tex]cm^{3}[/tex])(_) = (_) [tex]m^{3}[/tex].

i.e. we have units of [tex]cm^{3}[/tex] and wants units of [tex]m^{3}[/tex] .

We know that 100 cm = 1 meter

i.e. 100cm/1 meter

⇒  [tex](100cm/1 meter)^{3}[/tex] = 1 × [tex]10^{6} cm^{3}/m^{3}[/tex]

⇒1/(1 × [tex]10^{6} cm^{3}/ m^{3}[/tex]) = (1 × [tex]10^{-6} m^{3}/cm^{3}[/tex])

We can use this new conversation factor to convert volume from [tex]cm^{3}[/tex] to [tex]m^{3}[/tex].

(0.060 [tex]cm^{3}[/tex])(1 × [tex]10^{-6} m^{3}/cm^{3}[/tex]) = (_) [tex]m^{3}[/tex]

(0.060 [tex]cm^{3}[/tex])(1 × [tex]10^{6} cm^{3}/m^{3}[/tex]) = 6.0 × [tex]10^{-8} m^{3}[/tex].

This is the required equation.

If we want to convert measurement,

to convert a smaller unit to a larger init, divide it by the number of smaller units which are needed to make larger unit. To convert from a larger unit to a smaller one, multiply. To convert from a smaller unit to a larger one, divide.

A conversation factor is a number used to change one set of units to another, by multiplying or dividing.

Given question is incomplete.

a student sets up the following equation to convert a measurement. (the stands for a number the student is going to calculate.) fill in the missing part of this equation  (0.060 [tex]cm^{3}[/tex])(_) = (_) [tex]m^{3}[/tex].

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least-squares fitting of a regression line only applies when there is one dependent variable and one independent variable.

Answers

No, least-squares fitting of a regression line doesn't only applies when there is one dependent variable and one independent variable.

What are the least squares of a linear regression?

A least-squares regression line, which minimizes the vertical distance between the data points and the regression line, is the line that best fits a linear relationship between two variables when the data indicates such a relationship.

Is least squares fit the same as linear regression?

The most used modeling technique is without a doubt linear least squares regression. It is what most people mean when they claim they fitted a model to their data using "regression," "linear regression," or "least squares."

The independent variable in a cause-and-effect relationship is the cause, while the dependent variable is the effect. A technique for predicting the value of a dependent variable Y based on the value of an independent variable X is known as least squares linear regression. That's why least-squares fitting of a regression line doesn't only applies when there is one dependent variable and one independent variable.

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Doreen Schmidt is a chemist. She needs to prepare 24 ounces of a 10​% hydrochloric acid solution. Find the amount of 12 ​% solution and the amount of 16​% solution she should mix to get this solution

Answers

To prepare 24 ounces of a 10% hydrochloric acid solution, Doreen Schmidt needs to mix 24 * 10/100 = <<24*10/100=2.4>>2.4 ounces of hydrochloric acid with 24 - 2.4 = <<24-2.4=21.6>>21.6 ounces of water.

Let's say Doreen has 24 ounces of a 12% hydrochloric acid solution and wants to know how much of a 16% solution she needs to add to it to get the desired 10% solution.

The amount of hydrochloric acid in the 12% solution is 24 * 12/100 = <<24*12/100=2.88>>2.88 ounces.

To get the desired 10% solution, Doreen needs to add an additional 2.4 - 2.88 = -0.48 ounces of hydrochloric acid. Since she cannot add a negative amount, she needs to add hydrochloric acid from a 16% solution to the 12% solution.

To add 0.48 ounces of hydrochloric acid to the solution, Doreen needs to mix 0.48 / (16/100) = 0.3 ounces of a 16% hydrochloric acid solution with the 12% solution.

Therefore, Doreen needs to mix 24 ounces of a 12% hydrochloric acid solution with 0.3 ounces of a 16% solution to get the desired 10% solution.

In the following question, we will count distinct integer solutions to the equation X_1 + X_2 + X_3 + X_4 = 35. How many solutions are there if all the variables must be non-negative? How many solutions are there if all the variables must be positive? How many solutions are there if X_1 greaterthanorequalto 2, X_2 greaterthanorequalto 4, X_3 greaterthanorequalto 0, and X_4 greaterthanorequalto 0? How many solutions are there to the equation X_1 + X_2 + X_3 + X_4 lessthanorequalto 35 in which all the X_i are non-negative?

Answers

There are 364 positive variables and 5984 non - negative integers.

An integer is zero (0), a positive integer (1, 2, 3, etc.), or a negative integer with a minus sign (-1, -2, -3, etc.). [1] A negative number is the additive reciprocal of the corresponding positive number. [2] In mathematics languages, sets of integers are often represented by a bold Z or blackboard bold . The integers form the smallest group and smallest ring containing the natural numbers. In algebraic number theory, integers are sometimes qualified as rational integers to distinguish them from the more general algebraic integers. In fact, (rational) integers are algebraic integers that are also rational numbers.

Let us take each xi = a₁+1

x₁+x₂+x₃+x₄ = 35

∴a₁+a₂+a₃+a₄ = 31 ,where each ai is non-negative.

Now using the stars and bars method the answer is -

([tex]\left \{ {{31 + 4 - 1} \atop {4 - 1}} \right.[/tex]  = [tex]\left \{ {{34} \atop {3}} \right.[/tex]}

               = [tex]\frac{34!}{3! * (34 - 3)!}[/tex]

               = 5984

A particular solution of this equation corresponds to the placement of 3 addition signs in the 14 spaces between successive ones in a row of 15 ones.

Since, a particular solution of the equation corresponds to the placement of k−1 addition signs in the n−1 spaces between successive ones in a row of n ones, the number of solutions of the equation x₁ + x₂ + x₃ +⋯+xₐ=n in the positive integers is

[tex]\left \{ {{n - 1} \atop {k - 1}} \right.[/tex]}

For instance, placing an addition sign in the fourth, seventh, and twelfth spaces gives

                         1111+111+11111+111

which corresponds to the solution x₁ = 4, x₂ = 3, x₃ = 5, x₄ = 3.

Hence, the number of such solutions is the number of ways we can select which three of the 14 spaces between successive ones in a row of 15 ones will be filled with addition signs, which is

                                    [tex]\left \{ {{14} \atop {3}} \right.[/tex]}

                             = [tex]\frac{14!}{3! * (14 - 3)!}[/tex]

                             = 364

Therefore, there are 364 positive variables and 5984 non - negative integers.

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Which of the following is the best estimate of
A.7 1/2
B. 8
C.8 1/2
D. 9

Answers

Answer:

b

Step-by-step explanation:

did the math?

8 is the best estimate of [tex]8\frac{1}{8}[/tex].

In simple words, the ratio of the two numbers is called a fraction.

Mixed fraction is a form of a fraction which is defined as the ones having a fraction and a whole number.

For example, 2 (1/3) is a mixed fraction, where 2 is the quotient, 1 is the remainder. So, a mixed fraction is a combination of a whole number and a proper fraction.

Step 1: Multiply the denominator with the whole number,

i.e. Multiply 8 with 8 in the given example, 8(1/8).

                                            8× 8  =64

Step 2: Add the numerator of the Fraction to the result in step 1. i.e.,             Add                                      1+ 64=65.

Step 3: Keep the Denominator same i.e. 8.

Step 4: The Improper fraction obtained is: 65/8.

Given number can be denoted as 8+[tex]\frac{1}{8}[/tex] = 8+0.15 = 8.15

So the number is nearest to 8 itself.

i.e. 8 is the best estimate.

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Use the diagram to answer the both questions.

What is the value of x?

x =

What is the measure of the unknown angle?
Angle =

Answers

The value of x is 56 and the value if the unknown angle is 106°

What are angles on a straight line?

Angles on a straight line relate to the sum of angles that can be arranged together so that they form a straight line. The law of angle on a straight line states that the sum of angle on a straight line is 180°

This means that (2x-6)°+74= 180

(2x-6)°= 180-74

(2x-6)° = 106

add 6 to both sides

2x= 106+6

2x= 112

x= 112/2

x= 56

therefore the unknown angle = 2(56)-6 = 112-6= 106°

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A town park has two paths leading to the playground. One path is 2 miles from the road and the other path makes a right angle with the road. The two paths intersect at an angle of . What is the approximate distance from the playground to the road along the other path?

The picture shows an upside-down right-angle triangle. The angle of the top vertex is 50 degrees. The length of the hypotenuse is 2 mi and the swing stands on the downside of the triangle
A.
3.1 mi
B.
1.5 mi
C.
1.3 mi
D.
2.6 mi

Answers

The approximate distance from the playground to the road along the other path is 1.3 miles.

How to find the distance between the road and the playground?

A town park has two paths leading to the playground. One path is 2 miles from the road and the other path makes a right angle with the road. The two paths intersect at an angle of  50 degrees.

The approximate distance from the playground to the road along the other path can be calculated as follows;

using trigonometric ratios,

cos 50° = adjacent / hypotenuse

let

x =  distance from the playground to the road along the other path

Hence,

cos 50 = x / 2

cross multiply

x = 2 cos 50°

x = 2 × 0.64278760968

x = 1.28557521937

x = 1.3 miles.

Therefore,

distance form play ground to the road = 1.3 miles.

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Convert the following Fahrenheit degrees to Celsius.
a. 104°F
b. 41°F
c. 131°F
d. 95°F

Answers

A. 104F = 40C
B. 41F = 5C
C. 131F = 55C
D. 95F = 35C

Hope this Helps,
Also Have a Happy New Year
:)

Answer:

A) 40

B) 5

C) 55

D) 35

Step-by-step explanation:

The formula is:

[tex]\frac{(F - 32)5}{9}[/tex]

F is the temperature in Fahrenheit.

A)

[tex]\frac{(104-32)5}{9}[/tex]

40

B)

[tex]\frac{(41-32)5}{9}[/tex]

5

C)

[tex]\frac{(131-32)5}{9}[/tex]

55

D)

[tex]\frac{(95-32)5}{9}[/tex]

35

Tamia's curtain company is making curtains for a local hotel. She wants each curtain to be 24 inches long. At the fabric store, fabric is sold by the foot. If Tamia's curtain company wants to make 83 curtains, how many feet of fabric will she need?
1 inch =
1
12
foot

Answers

Tamia will need 166 feet of fabric

How to determine how many feet of fabric she will need?

Given that:

Tamia wants each curtain to be 24 inches long

At the fabric store, fabric is sold by the foot

Tamia's curtain company wants to make 83 curtains

1 curtain = 24 inches

83 curtains = 24×83 = 1992 inches

To convert inches to feet multiply by 1/12:

1992 inches =  1992 × 1/12 feet = 166 feet

Thus, she will need 166 feet

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Gracie Shay wants to buy a new Hummer in five years. Gracie estimates the cost of the Hummer will be $28,000. If she invests $12,000 now at a rate of 6% compounded semiannually, she:
Multiple Choice
Will miss her goal by about $10,893.
Will miss her goal by about $11,680.
Will miss her goal by about $11,833.

Answers

Gracie shay must add $11,873 to buy that new hammer with its initial investment.

What is compound interest?

Interest that is added to a loan and deposit sum is known as compound interest. In our everyday lives, it is the notion that is employed the most frequently. Compound interest is calculated as a sum using the interest and principal accrued over time. Compound interest versus simple interest differ primarily in this way.

As per the given information in the question,

The price of hammer =$28,000

The annual rate of interest = 6%

Total number of years = 5

Principal investment = $12,000

The equation for annual compound interest, with the principal amount included, is :

A = [tex]P(1+\frac{r}{n} )^(^n^t^)[/tex]

Substitute all the values from above in the equation,

A = 12,000(1+0.06/2)⁽²⁾⁽⁵⁾

A = 12,000 × 1.03¹⁰

A = $16127

After five years, Gracie won't be able to be the hammer and will have to pay more money:

28000 - 16127 = $11,873.

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A doctor wants to determine if a new medication for cholesterol is more effective than the previous medication. The doctor asks her patients if they would like to take part in a study for a new medication, and 30 patients currently taking medication for cholesterol volunteer to participate. Which of the following would be an appropriate procedure for this experiment?

ANSWER IS A


A) The doctor needs to randomly assign 15 patients to the new medication and 15 to the original medication to even out the variability between the patients.


B) The doctor needs to assign the first 15 patients to the new medication and 15 to the original medication to even out the variability between patients.

C) The doctor needs to let the 30 patients choose which medication they are going to take through use of a survey to determine whether they want to participate in the experiment.

D) The doctor needs to randomly assign the 30 patients to the new medication to even out the variability between the patients and to determine if their cholesterol level is lowered.

Answers

The option that would be an appropriate procedure for this experiment is option A) The doctor needs to randomly assign 15 patients to the new medication and 15 to the original medication to even out the variability between the patients.

How does random assignment work?

Random assignment is seen as a method of assigning participants from your sample to various groups in experimental research by using randomization. By using this technique, each sample member has a known or equal chance of being assigned to either the control group or the experimental group.

Note that with the goal of making the groups equal at the start of the study, random assignment is a method used in experiments to divide participants into multiple study groups that include those who share similar traits.

Therefore, in regards to the work of the doctor in the above case, any observed differences in the two groups' cholesterol levels would most likely be brought on by the new medication because the subjects' variability would be evenly distributed between the two groups. Hence option A is correct.

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1 - 1/4 - 1/6
Write in simplest form

Answers

Answer:

write your question in a proper way

refer to table 17-29. which of the following statement(s) correctly characterizes the outcome of this game?

Answers

The statement that characterizes the outcome of the game is option d;

All of the above are correct.

Given,

The statements;-

a. Both Firm A and Firm B have a dominant strategy to advertise.

b. There is a Nash equilibrium when both firms advertise.

c. Although both firms collectively would earn higher profits by maintaining the agreement not to advertise, self-interest will cause each firm to break the agreement.

d. All of the above are correct

We have to find the correct statement that characterize the outcome of this game.

Here,

All the statement will characterize the outcome of this game. So correct answer is option d, All of the above are correct

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Previous
Next
A rectangle has a length of 42 centimeters and a width of 18 centimeters. What
is the area of the rectangle, in square meters?

Answers

The area of the rectangle, in square meters, is 7.56 meters².

What is rectangular shape?

Rectangles are quadrilaterals having four equal vertices and parallel sides that are equal to one another.

Given;

a rectangle has a length of 42 centimeters,

and a width of 18 centimeters.

To find the area of the rectangle:

We multiply the length of the rectangle by the width of the rectangle.

Use formula,

The area of the rectangle = length x width

Substitute the value of length and width

The area of the rectangle = 42 x 18

The area of the rectangle = 756 cm².

To change centimeter to meter:

We have the rate of change,

1 centimeter = 0.01 meter

756 centimeters = 0.01 x 756 meters

756 centimeters = 7.56 meters

Therefore, the area of the rectangle = 7.56 meters².

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A marketing student is estimating the average amount of money that students at a large university spent on sporting events last year. He asks a random sample of 50 students at one of the university football games how much they spent on sporting events last year. Using this data he computes a 90% confidence interval, which turns out to be ($217, $677).
Which one of the following conclusions is valid?
A. We can be 90% confident that the mean amount of money spent at sporting events last year by all the students at this university is between $217 and $677.
B. 90% of the sample said they spent between $217 and $677 at sporting events last year.
C. No conclusion can be drawn.
*We can be 90% confident that the mean amount of money spent at sporting events last year by all the students at this university is between $217 and $677. - Incorrect. The student's sample is not representative of all the students at the university (it is not a random sample of all university students). He surveyed people at a football game, which might mean that they tend to spend more money on sporting events than other students.

Answers

The valid conclusion is  A. We can be 90% confident that the mean amount of money spent at sporting events last year by all the students at this university is between $217 and $677.

The confidence interval used by the student researcher refers to the probability that the university's population parameter (average amount that students spent on sporting events last year) will fall between $217 and $677 for 90% of the time.

Thus, the interval measurement gives the researcher some degree of certainty that the calculated sample mean falls within the population mean most of the time.

Hence ,we can be 90% confident that the mean amount of money spent at sporting events last year by all the students at this university is between $217 and $677.

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How many points are 4 units from the origin and 2 units from the linbe x=-1?

Answers

There are two points, 4 units from the origin and 2 units from the line x = -1.

What are coordinates?

Coordinates are a pair of integers (Cartesian coordinates), or occasionally a letter and a number, that identify a certain place on a grid, often referred to as a coordinate plane.

Given point is at a distance of 4 units from origin,

that is √x² + y² = 4

x² + y²= 16 is the equation of the locus of the point.

The given point is also 2 units from the line x =-1

that is √(x+1)² + y² = 2

(x+1)² + y²= 4 is the equation of the locus of the point.

Subtracting the second given equation from the first one,

we get x² - (x+1)² = 12

simplifying, x = 11/2

So the common coordinate point for these 2 points which is 11/2.

Substituting this value to the first equation,

(11/2)²+ y² = 16

Simplifying, y = ±(i√57)/2.

There are 2 points whose coordinates are;

( i√57/2 , 11/2 ) and ( -i√57/2 , 11/2 ).

Therefore there are two points, 4 units from the origin and 2 units from the line x = -1.

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Suppose that the functions r and s are defined for all real numbers x as follows.
r(x)=x+5
s(x) = 4x+2
Write the expressions for (r*s) (x) and (r-s) (x) and evaluate (r+s)(1).

Answers

The values of the expression (1)  (r*s)(x) is 4x²+22x+10 (2) (r-s)(x) is -3x +3 (3) (r+s)(1) is 5x +7

How to determine the values of the expressions?

The given parameters that will help us to calculate the values are

r(x) = x+5

s(x) = 4x +2

(1)  r*s(x) will be

(x+5)(4x+2)

Opening the brackets we have

4x²+2x+20x+10

= 4x²+22x+10

(2) (r-5)(x)

Putting the values of r and s

(x+5)- (4x+2)

Open the brackets to have

x+5-4x-2

Collecting like terms to get

-3x+3

(3) (r+s)(x)

By substitution we have

x+5+4x+2

⇒5x +7

In conclusion the values of the expressions are (1)  (r*s)(x) is 4x²+22x+10 (2) (r-s)(x) is -3x +3 (3) (r+s)(1) is 5x +7

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an independent random sample is selected from an approximately normal population with an unknown standard deviation. find the p-value for the given sample size and test statistic. (assume we're considering a two sided hypothesis tests in each question. round your answers to three decimal places.)
Also determine if the null hypothesis would be rejected at α = 0.05.
(a) HA : µ > µ0, n = 11, T = 1.91
(b) HA : µ < µ0, n = 17, T = −3.45
(c) HA : µ 6= µ0, n = 7, T = 0.83
(d) HA : µ > µ0, n = 28, T = 2.13

Answers

Using the t-distribution, it is found that the null hypothesis is rejected for a, b, c

Item a:

We have a right-tailed test, as it is being tested if the mean is more than a value.

The p-value is found using a t-distribution calculator, with 11 - 1 = 10 df and t = 1.91, hence it is of 0.0426.

The p-value is of 0.0426, which is less than 0.05, thus the null hypothesis is rejected.

Item b:

We have a left-tailed test, as it is being tested if the mean is less than a value.

The p-value is found using a t-distribution calculator, with 17 - 1 = 16 df and t = -3.45, hence it is of 0.0016.

The p-value is of 0.0016, which is less than 0.05, thus the null hypothesis is rejected.

Item c:

We have a two-tailed test, as it is being tested if the mean is different than a value.

The p-value is found using a t-distribution calculator, with 7 - 1 = 6 df and t = 0.83, hence it is of 0.4383.

The p-value is of 0.4383, which is more than 0.05, thus the null hypothesis is not rejected.

Item d:

We have a right-tailed test, as it is being tested if the mean is more than a value.

The p-value is found using a t-distribution calculator, with 28 - 1 = 27 df and t = 1.91, hence it is of 0.0195.

The p-value is of 0.0195, which is less than 0.05, thus the null hypothesis is rejected.

Therefore, in an independent random sample is selected from an approximately normal population with an unknown standard deviation. Using the t-distribution, it is found that the null hypothesis is rejected for a, b, c

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A college statistics professor has office hours from 9.00 AM: to 10.30 AM. daily sample of waiting times to see the professor (in minutes 10, 12,20, 15,17,10, 28,35, 28, 19,27, 25,22, 33, 37,14,21,20 Assuming & = 7.84, find the 99.74% confidence interval for the population mean. Round to two decima places_ a. 20.55 to 24.05 minutes b. 17.05 to 27.55 minutes c. 18.8 to 25.8 minutes d. 19.5 to 35. minutes

Answers

We are given the following data set:

10, 12,20, 15,17,10, 28,35, 28, 19,27, 25,22, 33, 37,14,21,20

Standard deviation = 8.043

Confidence level = 1 - Significance Level = 1 - 99.74% = 4.56% = 0.0456

Jane is having difficulty deciding whether to put her savings in the Mystic Bank or in the Four Rivers Bank. Mystic offers a 12% rate compounded quarterly, and Four Rivers offers 14% compounded semiannually. Jane has $40,000 to invest and expects to withdraw the money at the end of five years. The better deal is:
Multiple Choice
Four Rivers because she will earn about $6,442 more.
Four Rivers because she will earn about $6,523 more.
Four Rivers because she will earn about $4,000 more.
Four Rivers because she will earn about $20,000 more.

Answers

Jane must therefore deposit her savings in the four rivers bank.

What is compound interest?

Interest that is added to a loan and deposit sum is known as compound interest. In our everyday lives, it is the notion that is employed the most frequently. Compound interest is calculated as a sum using the interest and principal accrued over time. Compound interest versus simple interest differ primarily in this way.

As per the data provided in the question,

Rate, r = 12%

After five years, the total amount, if Jane had saved at Mystic Bank,if Jane had saved at Mystic Bank would be:

[tex]A = P(1+\frac{r}{100} )^n[/tex]

For compounded quarterly,

n = 5 × 4

n = 20

A = 40000(1 + 12/(4 × 100))²⁰

A = 72244.44     (i)

If Jane placed her savings with the Four Rivers, then,

A = 40000(1 + 14/(2 × 100))¹⁰

A = 40000 × 1.9671

A = 78686.054  (ii)

Therefore, it is evident that case (ii) is higher than case (i). Jane must therefore deposit her savings in the four rivers bank.

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At Kamari's Sweet Treats, cookies are packaged in boxes of 8. Depending on the cookie flavor, the most a box can cost is $16.
Let x represent how much each cookie costs. Which inequality describes the problem.

a x / 8 < 16

b 8 + x ≥ 16

c 8 x ≤ 16


d x − 8 ≤ 16

Answers

The inequality that describes the problem is C. 8x ≤ 16

Which inequality describes the problem?

Inequalities are created through the connection of two expressions. It should be noted that the expressions in an inequality aren't always equal. Inequalities implies that the expressions are not equal. They are denoted by the symbols ≥ < > ≤.

Since Kamari's Sweet Treats, cookies are packaged in boxes of 8 and the most a box can cost is $16. This will be:

8x ≤ 16

The correct option is C.

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where is root 19??????

Answers

Answer:

4.358

Step-by-step explanation:

sqrt(19) = 4.358

If the translation T maps point A(-3,1) onto point A'(5,5), what is he translation T?

Answers

Answer: Translation T = (x + 8, y + 4)

Step-by-step explanation:

The x coordinate moved to the right by 8 and the y coordinate moved up by 4.

Explain whatos wrong with each of the following simulation designs.
a) A roulette wheel has 38 colored slots - 18 red, 18 black, ard? green. To simulate one spin of the
wheel, let numbers 00 to 18 represent red, 19 to 37 represent black, and 38 to 40 represent green.

Answers

There are 19 members from 00 to 18 who do not equal 18.

There are 19 members from 19 to 37 who do not equal 18.

There are 3 members in the age range of 38 to 40, not 2.

Given info,

Explain what is wrong with each of the following simulation designs.

⇒ A roulette wheel has 38 colored slots - 18 red, 18 black members green. To simulate one spin of the wheel, let members 00 to 18 represent red, 19 to 37 represent members and 38 to 40 represent green.

The mistake is;

→ There are 19 member from 00 to 18 which is not 18.

→ There are 19 member from 19 to 37 which is not 18.

→ There are 3 member from 38 to 40 which is not 2.

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Sherry paid 6.5% interest on a one-year loan. if she paid a total of 149.50 in interest, what was the original amount of the loan? A. 2,300 B. 971.75 C. 9717.50 D. 230.00

Answers

The original amount of the loan is $23,000.

What is the simple interest?

Simple interest is, by definition, the amount of interest paid on a specific principal sum of money when an interest rate is applied. Compound interest, on the other hand, is the interest that is computed using both the principal and the interest that has accumulated over the preceding period.

The formula of simple interest is I = PRT.

I =  interest

P = Principal

R = rate of interest

T = time

Given that the rate of interest is 6.5%. Thus R = 6.5% = 0.065

The interest that she paid after 1 year is $149.50.

Thus I = $149.50 and T = 1

Putting R = 0.065, I = $149.50, and T = 1 in I = PRT

149.50 = P × 0.065 × 1

Divide both sides by 0.065

P = 23000

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