Bodens account has a principal of $700 and a simple interest rate of 3.3%. Complete the number line. How much money will be in the account after 4 years, assuming Boden does not add or take out any number?

The relationship between a young person's height and the recommended wheel diameter is a function, as each input is associated to a single output.

To verify whether a relation represents a function, we need to observe if each input is mapped to only one output.

The input and output variables for this problem are given as follows:

As for each height, there is only one recommended wheel diameter, we have that each input is mapped to a single output, and thus the relationship between a young person's height and the recommended wheel diameter is a function.

More can be learned about relationships and functions at https://brainly.com/question/29701528

#SPJ1

Answer:

infinitely many solutions and x=y

Answer:

C{-3,-2.5}

Step-by-step explanation:

Brainliest pls

Answer:

43%

Step-by-step explanation:

28 questions - 16 wrongs = 12 correct

(12/28) × 100= 42.857.....%

To the nearest percent=43%

Answer:

B. point; vertices; point

Step-by-step explanation:

A pyramid is a 3-dimensional geometric shape that has a base, which is typically a polygon, and a number of triangular faces that all meet at a single point called the vertex. The pyramid has vertices at the corners of the base and all other points where the triangular faces meet.

Answer:no

Step-by-step explanation:

The constants A and B for the differential equation are given as follows:

The solutions to the differential equation are given as follows:

This means that the roots of the characteristic equation are given as follows:

r = -8 and r = 8.

Considering that the leading coefficient is of 1, as 1 multiplies y'', the characteristic equation is given as follows:

(r + 8)(r - 8) = r² - 64.

Hence the differential equation is given as follows:

y'' - 64y = 0.

Hence the constants are given as follows:

More can be learned about differential equations at https://brainly.com/question/18760518

#SPJ1

The solution for the expression 112 ÷ 0.16 is 700.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

112 ÷ 0.16

This can be written as,

= 112/0.16

= 700

Thus,

The solution is 700

Learn more about expressions here:

https://brainly.com/question/3118662

#SPJ1

Answer: 49.5

Step-by-step explanation:

Let Thomas' age be [tex]T[/tex]. Then, Hulian's age is [tex]T+14[/tex].

[tex]T+T+14=113\\\\2T+14=113\\\\2T=99\\\\T=49.5[/tex]

The firm needs to sample 138.297 products to achieve a ±5% accuracy at a 95% confidence level, given that it believes that the true proportion of defects is no greater than 10%.

Generally, To determine the sample size needed to achieve a ±5% accuracy at a 95% confidence level, with a maximum expected proportion of defects of 10%, you can use the formula for sample size for a proportion. The formula is:

n = (z^2 * p * (1-p)) / E^2

Where:

Plugging in the given values, we get:

n = (1.96^2 * 0.10 * (1-0.10)) / 0.05^2

n =138.297

Read more about manufacturing firm

https://brainly.com/question/28547725

#SPJ1

Answer: The interest rates charged in both formulas are different.

Step-by-step explanation:

To begin with, the simple interest = PRT/100

In this, the interest is the same as the number of years.

For example, P=10,000 R=10% T=2yrs

SI = PRT/100

    = 10,000*10*2/100

    = 2000

This rupee 2000 is the same interest for two years.

compound interest = A= P(1+r/100)^n

In this, the interest changes every year up to the period of time.

For example, P= 10,000 R=10% N=2yrs

A= 10,000(1+10/100)^2

  = 10,000*11/10*11/10

   = 12100

I= A-P

 =12100-10000

 = 2100

This interest varies for 2 years.

We know that Nevaeh initially deposited $2,100, and now she has $2,131.50 in her account. The interest earned is $2,131.50 - $2,100 = $31.50. To find out how many months has she been investing her money, we can use the following formula:

Time (in months) = (Interest / Principal) x (12 / Interest Rate)

Where Principal is the initial deposit amount, Interest Rate is the annual interest rate, and Interest is the amount of interest earned.

Plugging in the given values, we get:

Time (in months) = ($31.50 / $2,100) x (12 / 0.06)

Time (in months) = 0.0149 x 200

Time (in months) = 2.98

Since time cannot be in fraction of months, it has to be rounded off. So, Nevaeh has been investing her money for approximately 3 months.

The graph of the given piecewise function is as attached below.

Piecewise function is a function consisted of pieces of different functions over different intervals.

From the case we have:

f(x) = 3x - 5 if x ≤ -1

f(x) = -2x + 3 if -1 < x < 4

f(x) = 2 if x ≥4

To construct the piecewise function, we can try to find the base points of each functions.

f(x) = 3x - 5; if x ≤ -1

We will take x = -1 to approximate the line position

f(-1) = 3(-1) - 5

f(-1) = -3 - 5 = -8

f(x) = -2x + 3; if -1 < x < 4

(x = -1)

f(-1) = -2 (-1) + 3

f(-1) = 2 + 3 = 5

(x = 4)

f(4) = -2 (4) + 3

f(4) = -8 + 3 = -5

f(x) = 2; if x ≥ 4

(x = 4)

f(4) = 2

We can put each points on the graph and try to construct the piecewise function.

Please refer to the attached graph below for the piecewise function graph

Learn more about Piecewise Function here: brainly.com/question/17919672

#SPJ1

Anazlysing the conditions given in the question we can  conclude that there is a statistically significant increase in the consensus estimate of economists.

Financial analysts often use the whisper number, which is a late-breaking estimate of a key economic indicator, to make predictions about the stock market and inform their investment decisions. They may use it to identify potential opportunities for buying or selling stocks based on whether the whisper number is higher or lower than expected.

While the whisper number can provide insight into the current economic conditions, it is not a foolproof way to predict the stock market. It is just an estimate based on a sample of economists' predictions and can be affected by various unpredictable factors. Therefore, it's important to take other economic indicators and market conditions into account when making investment decisions.

To conduct a hypothesis test, we need to first define the null hypothesis and alternative hypothesis.

Null Hypothesis: The whisper number (sample mean) is equal to the consensus estimate (population mean)

H0: μ = 250,000

Alternative Hypothesis: The whisper number (sample mean) is greater than the consensus estimate (population mean)

H1: μ > 250,000

The next step is to calculate the test statistic and p-value. We can use a one-tailed t-test since the sample size is less than 30 and we don't know the population standard deviation.

Test statistic:

t = (266,000 - 250,000) / (24,000 / sqrt(20))

P-value:

Using the t-distribution table with 19 degrees of freedom, the p-value is less than 0.01, which is the significance level we set.

Since the p-value is less than the significance level (0.01), we can reject the null hypothesis and conclude that there is a statistically significant increase in the consensus estimate of economists.

To learn more about t-tests hypothesis testing  visit:

https://brainly.com/question/15870238

#SPJ1

[tex]35 cm ^{3}[/tex] is the volume of the prism displayed. The triangular cross section is 1.25 cm tall.

length , l = 7 cm , width w = 4 cm , height , h= 1.25 ,diagonal ,   d=8.15858444 cm , total surface area, [tex]$S_{\text {tot }}=83.5 \mathrm{~m}^2$[/tex] , lateral surface area , [tex]$S_{\text {lat }}=27.5 \mathrm{~m}^2$[/tex] , top surface area , [tex]$S_{\text {top }}=28 \mathrm{~m}^2$[/tex] , bottom surface area , [tex]$S_{\text {bot }}=28 m^2$[/tex] , volume [tex]$V=35 \mathrm{~m}^3$[/tex] .

To calculate the height of a prism, divide its volume by its area at the base. Let's say that the prism has a volume of 600 cubic inches to wrap up this scenario. The height is determined by multiplying 600 cubic inches by 100 square inches.

A prism's volume is calculated using the formula V=Bh, where B denotes the base area and h the height. A rectangular area makes up the prism's base. The rectangle's dimensions are 9 cm long by 7 cm wide. The formula V=Bh, where V stands for volume, B for the prism's area at its base, and h for its height, can be used to determine a prism's volume. B should be replaced with the area of a rectangle formula because this is a rectangular prism.

To learn more about prism height refer to :

https://brainly.com/question/27677501

#SPJ1

Answer:

(14x+13)(x-1)

Step-by-step explanation:

14x²-x-13

14 × 13 = 182

Search for factors of 182 that contain a difference of 1 when subtracted because -x is the same as -1x.

Since 14 × 13 = 182

and

13 - 14 = -1

They are our 2 chosen numbers which will be displayed as :

14x² - 14× + 13x - 13

where -x is replaced by -14x + 13x

Proceed to factorise normally

14x(x-1) + 13(x-1)

Grouping

(14x+13)(x-1)

The choice that shows 13 · (7 · 4) correctly rewritten using the associative property and then correctly simplified is presented as follows;

The associative property of multiplication stated that the multiplication of three numbers produces the same result in any way the numbers are grouped.

Mathematically, the associative property of multiplication can be presented as follows;

(a × b) × c = a × (b × c)

The specified operation involving the multiplication of three numbers are presented as follows;

13 · (7 · 4)

The associative property of multiplication indicates that we get;

13 · (7 · 4) = (13 · 7) · 4

13 × 7 = 91

Therefore, (13 · 7) · 4 = (13 × 7) × 4

(13 × 7) × 4 = 91 × 4 = 364

The option that shows the associative property correctly written and then correctly simplified is therefore;

The possible options in the question, obtained from a similar online question are;

Learn more about the associative property of multiplication here:

https://brainly.com/question/17214533

#SPJ1

Answer:

  170,483

Step-by-step explanation:

You have N varying jointly with P1 and P2, such that N=109,000 for P1=74000 and P2=189000. You want to know N for P1=125000 and P2=175000.

The relation "N varies jointly with P1 and P2" can be described by the equation ...

  N = k·P1·P2

The value of k can be found as ...

  k = N/(P1·P2)

  k = 109000/(74000·189000) ≈ 7.793508×10^-6

Then the number of calls given the populations P1=125000 and P2=175000 is predicted to be ...

  N = (7.793508×10^-6)(125000)(175000) ≈ 170482.982...

  N ≈ 170483

About 170,483 calls are expected between cities with populations of 125 and 175 thousand.

If the number of phone calls between two nearby cities during a given time period. The number of calls  that are made between two cities with population 125,000 and 175,000 is: 170,482,987,500.

Calls  made between two cities with populations 74,000 and 189,000,

Call = 109,000/(74000 × 189000)

Call = 109,000 / 13,986,000,000

Call = 7.793508

Calls made between two cities with populations 125,000 and 175,000?

Calls =  7.793508 × 125000 ×175000

Calls =170,482,987,500

Therefore the calls made is 170,482,987,500.

Learn more about number of calls here:https://brainly.com/question/14716700

#SPJ1

According to the given expression, the account's initial deposit is 750, the balance after one year is 845, and the balance after two years is 952.

Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation.

Given, The amount of money in a savings account is modeled by A(x) = 750(1.01)^12x, where x represents number of years.

Expression for money is given

Thus, balance at x = 0

Balance A(0) = 750

Balance at x = 1

Balance A(1) = 750(1.01)^12*1

A(1) = 845.11

Balance at x = 2

Balance A(2) = 750(1.01)^12*2

A(2) = 952.43

Therefore, In the account initial deposit is 750, balance after 1 year  is 845, and balance after 2 years will be 952 as per the given expression.

Learn more about expression here:

https://brainly.com/question/23246712

#SPJ1

Answer:

don't

Step-by-step explanation:

get that one wrong don't spend to much time on it

The area of the triangle shown is 51.96 unit²

An equation is a expression that shows the relationship between numbers and variables.

The area of a triangle can be found given two adjacent sides and an angle between the two sides. It is given as:

Area = (1/2) * product of adjacent sides * sin(angle)

Hence:

Area of triangle shown = (1/2) * 10 * 12 * sin(60) = 51.96

The area is 51.96

Find out more on equation at: https://brainly.com/question/2972832

#SPJ1

Answer:

In an absolute value graph, the slope of one side of the graph is the negative of the other side.

For example, if the slope of one side of an absolute value function is 2, then the other side of the equation has a slope of -2.

Answer:

x = -2,  x = 9

Step-by-step explanation:

Given quadratic equation:

[tex]x^2-7x-18=0[/tex]

To factor a quadratic in the form ax²+bx+c, first find two numbers that multiply to ac and sum to b.

[tex]\implies ac=1 \cdot -18=-18[/tex]

[tex]\implies b=-7[/tex]

Therefore, the two numbers are: -9 and 2.

Rewrite b as the sum of these two numbers:

[tex]\implies x^2-9x+2x-18=0[/tex]

Factor the first two terms and the last two terms separately:

[tex]\implies x(x-9)+2(x-9)=0[/tex]

Factor out the common term (x - 9):

[tex]\implies (x+2)(x-9)=0[/tex]

Apply the zero-product property:

[tex]\implies x+2=0 \implies x=-2[/tex]

[tex]\implies x-9=0 \implies x=9[/tex]

Therefore, the solutions to the given quadratic equation are:

The observed time cycles of five given elements are 2.1, 1.01, 3.4, 4.1, 1.5 respectively

To determine the observed time (OT),

The observed time (OT) of each cycles will be added together for each element. and divided by total number of cycles for each element.

This is done in the following ways

1) (1.2+2.0+2.2+2.1+2.1)/5 = 10.5/5 = 2.1

2) (1.1+1.0+1.2) = 3.3/3 = 1.1

3) (3.4+3.5+3.3+3.5+3.4+3.3)/6 = 20.1/6 = 3.4

4) 4.0+4.2)/2 = 8.2/2 = 4.1

5) (1.4+1.4+1.5+1.5+1.5+1.4)/6 = 8.7/6 = 1.5

therefore each elements total cycle OT is added and then it is divided with each elements relevant number of cycles and this as a result provides the answer to the question

Learn more about number of observed time on https://brainly.com/question/28549017

#SPJ1

Using the mathematical operations of addition and subtraction, the quantity of almond milk that Lucas should add to his recipe to make three 8-fluid-ounce servings of the smoothie is 1¹/₈ cups.

Mathematical operations include addition, division, subtraction, and multiplication.

In this situation, we can determine the needed quantity of almond milk using multiplication, subtraction, and addition.

The total quantity of smoothie is obtained by multiplying three cups by 8 fluid ounces.  The quantity of almond milk is determined by subtracting the sum of other ingredients from the total quantity.

Lucas' usual recipe for two 8 fluid ounces:

Berries 3/8 cups

Mango 1/2 cups

Yogurt = 3/4 cups

Almond Milk = 3/8 cups

Total cups made = 2 cups (16 fluid ounces = 2 x 8)

New recipe for three 8 fluid ounces:

Berries 5/8 cups

Mango 1/2 cups

Yogurt = 3/4 cups

Almond milk = x

1 cup = 8 fluid ounces

Total cups to be made = 3 cups (24 fluid ounces = 3 x 8)

5/8 + 1/2 + 3/4 + x = 24/8

= 15/8 + x = 24/8

x = 9/8 (24/8 - 15/8)

= 1¹/₈ cups

Learn more about mathematical operations at https://brainly.com/question/4721701

#SPJ1

Lucas makes a smoothie using the recipe (berries 3/8, mango 1/2, yogurt 3/4 cups) and adds almond milk for two 8 fluid-ounce servings. (There are 8 fluid ounces in 1 cup.​)

3/17

Both 3 and 17 are prime numbers, therefore they cannot be simplified by any number expect 1 and itself.

The alternate interior angles are the angles that are formed inside the two parallel lines, when it is intersected by a transversal, and are equal to its alternate pairs.

Alternate interior angles are the angles formed when a transversal intersects two coplanar lines. They lie on the inner side of the parallel lines but on the opposite sides of the transversal. The transversal crosses through the two lines which are Coplanar at separate points.

Alternate angles are shaped by the two parallel lines crossed by a transversal. Consider the given figure, EF and GH are the two parallel lines. If two parallel lines are cut by a transversal, then the alternate angles are equal.

In order to understand alternate interior angles, one must first picture a set of parallel lines, and then a line intersecting them. The intersecting line is called a transversal, and all the angles formed between the parallel lines are the interior angles.

At the point of intersection of transversal and two lines we have:

∠3 + ∠4 = 180 .........(1)

∠6 + ∠8 = 180 ...........(2)

We know that angle 4 and angle 8 are equal:

Thus, using 1 and 2 we have:

∠3 = ∠6

Hence, ∠3 and ∠6 are congruent.

Now, using the alternate interior angle we know that:

∠3 = ∠6

Also, we have:

∠5 + ∠6 = 180 (Straight line)

Substituting the value of ∠6 = ∠3 we have:

∠5 + ∠3 = 180

Thus, the two angles are supplementary.

Learn more about alternate interior angles here:

https://brainly.com/question/28971625

#SPJ1

Answer:

[tex]\boxed{-2 < x\le1}[/tex]

Representation on number line is in attached image.

Notice that -2 has an unfilled circle and 1 has a filled circle. Important

Step-by-step explanation:

The given inequality is

[tex]2 < 4x+10\le14[/tex]

Subtract 10 throughout:

[tex]2-10 < 4x+10-10\le14-10\\\[/tex]

[tex]-8 < 4x\le4[/tex]

Divide throughout by 4:

[tex]-2 < x\le1[/tex]

Answer:    [tex]\boxed{-2 < x\le1}[/tex]

This is represented on the number line as follows: Notice the use of the