Use this scenario on this and the next problem.


Tobias received an inheritance from his grandfather of $20,000. When he gets out of


college in 4 years he wants to use it as a down payment on a piece of lakeside property.


If he puts all the money in a savings account paying 6. 5% interest compounded daily,


how much money will be in the account at the end of the four years to use as the down


payment on the property?

Answer:

-12x

Step-by-step explanation:

Answer:

-12

Step-by-step explanation:

-4+ -8= -12

anything times 1 is its self so that's ur answer

N is the set of natural numbers that are factors of 20={1,2,4,5,10,20}

Factors: A factor is a number that divides another number, leaving no remainder. In other words, if multiplying two whole numbers gives us a product, then the numbers we are multiplying are factors of the product because they are divisible by the product. There are two methods of finding factors: multiplication and division.

given in the question that, N is the set of natural numbers that are factors of 20

factors of 20 are = 1,2,4,5,10,20

so the set of factors of 20 is={1,2,4,5,10,20}

4th option is correct

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Answer:

It should be (1, 2, 4 , 5, 10, 20)

Answer:

he can buy 4 sheets of paper to print 16 pages

he will have 0.10 cents left

Step-by-step explanation:

With each piece of paper, he can print 4 pages

He has a full dollar

1/0.25 = 4

he can print 4 pages because the last 10 cents will not be enough to print another page

4 * 4 = 16

He will not be able to print all the pages

When an upper outlier is added to the dataset, the mean and median will increase. This means that the analyst's decision to add the upper outlier will have a positive effect on the dataset.

The mean will increase and the median will increase.

The mean and median are the two measures of central tendency, and they are calculated to represent the dataset as a whole.

Mean and median are determined by removing or adding the outliers, which are numbers that are either too high or too low. median was 26, the effects are likely to be positive.

However, when the analyst decides to include the upper outlier in the calculations, it will lead to an increase in the mean and median.The effect of outliers on the mean and median is different.

The mean is greatly influenced by outliers. The median is not affected as much by outliers as the mean because it is calculated by arranging the dataset from lowest to highest and selecting the middle value of the dataset.

When an upper outlier is added to the dataset, the mean and median will increase. This means that the analyst's decision to add the upper outlier will have a positive effect on the dataset.

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The given statement is 1. Always true

2. Always true

3. Always true

4. Sometimes true

5. Never true

Statement 1: A line and a point are always coplanar.

Answer: Always true.

Reason: This statement is always true because a line and a point can always be found on the same plane. In Euclidean geometry, a plane is a flat surface that extends infinitely in all directions, and any two points on the plane can be connected by a straight line. Therefore, a line and a point will always lie on the same plane.

Statement 2: Congruent angles form vertical angles.

Answer: Always true.

Reason: Vertical angles are formed by the intersection of two lines. When two angles are congruent, it means they have the same measure. If two angles have the same measure and are formed by the intersection of two lines, then they are vertical angles. Therefore, congruent angles always form vertical angles.

Statement 3: Linear pairs that are congruent are right angles.

Answer: Always true.

Reason: A linear pair consists of two adjacent angles that share a common side and form a straight line. If the two angles of a linear pair are congruent, it means they have the same measure. In Euclidean geometry, a straight angle measures 180 degrees. If two angles in a linear pair are congruent and their measures add up to 180 degrees, then each angle must measure 90 degrees, which is the measure of a right angle. Therefore, linear pairs that are congruent are always right angles.

Statement 4: The sum of angles that form a linear pair is less than 180 degrees.

Answer: Sometimes true.

Reason: The sum of angles that form a linear pair is always equal to 180 degrees, not less than 180 degrees. This is based on the definition of a linear pair, which states that the two angles in a linear pair are supplementary, meaning their measures add up to 180 degrees. However, if the statement said "less than or equal to 180 degrees," then it would be always true.

Statement 5: Vertical angles are complementary.

Answer: Never true.

Reason: Vertical angles are not complementary. Complementary angles are two angles that add up to 90 degrees. Vertical angles, on the other hand, are a pair of non-adjacent angles formed by the intersection of two lines. They do not necessarily have any specific relationship to each other in terms of their angle measures. Therefore, vertical angles are not complementary by definition.

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The truth of each statement depends on the properties of angles and theorems that support them. A line and a point are always coplanar, congruent angles can sometimes form vertical angles, congruent linear pairs are not always right angles, the sum of angles that form a linear pair is always 180 degrees, and vertical angles are never complementary.

To determine the truth of each statement, we need to consider the properties of angles and theorems that support them.

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Answer:

True

Step-by-step explanation:

The population always grows by 5%, even though more bacteria are added with each hour. Each hour, due to exponential growth, the population size rises by 5%.

Answer:

p < 0.24

Step-by-step explanation:

If earning is 24% less Than predicted, this means that the we can represent the predicted earning with a variable, p

If the predicted earning = p

Then, the actual earning can be represented by the inequality ; p < 24%

p < 0.24

Answer:

c= πD

Step-by-step explanation:

22/7×28 =88

=88cm,

Circumference of circle = 2πr

= 2 × 22/7 × 14

= 2 × 22 × 2

= 44 × 2

= 88 cm²

Easyy!

Answer:

I may be wrong but I think it's c

The variables for this problem are classified as follows:

a) The number of songs on a randomly chosen ipod is discrete.

b) The number of people in line at the bank at a randomly chosen time is discrete.

c) The time it takes to drive to the airport is continuous.

d) The amount of rain during the next thunderstorm is continuous.

Variables are classified as continuous or discrete depending if they can assume decimal values, as follows:

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Answer:

I think it's consistent

Step-by-step explanation:

Answer:

15 minutes

Step-by-step explanation:

Divide 12 yards by 4/5 yards.

12 ÷ 4/5 =

12 * 5/4 =

15

Thus, it would take the ant 15 minutes to crawl 12 yards.

\(▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪\)

Yes, y varies directly with x,

constant of variation :

Equation will be :

so, the Correct choice is b

Answer:120 plus 80 plus 17 equals 217

Step-by-step explanation:

Answer:

Step-by-step explanation:

217

a) The exact real interest rate is approximately -5.75%.

b) The exact real interest rate is approximately 4.24%.

c) The exact real interest rate is approximately -2.38%.
d) The exact real interest rate is approximately -99.85%.
e) When the nominal interest rate (i) is greater than the inflation rate (π), the real interest rate (R) is positive.

Step by step:

a) To find the exact real interest rate (R), we can use the formula R = (1+π)/(1+i) - 1, where π is the inflation rate and i is the nominal interest rate.
Given that i = 5.5% and π = 4.5%, we can substitute these values into the formula:

R = (1+0.045)/(1+0.055) - 1
R = 1.045/1.055 - 1
R ≈ 0.9425 - 1
R ≈ -0.0575

Therefore, the exact real interest rate is approximately -5.75%.


b) For i = 18% and π = 23%:
R = (1+0.23)/(1+0.18) - 1
R = 1.23/1.18 - 1
R ≈ 1.0424 - 1
R ≈ 0.0424

Therefore, the exact real interest rate is approximately 4.24%.


c) For i = 5% and π = 2.5%:
R = (1+0.025)/(1+0.05) - 1
R = 1.025/1.05 - 1
R ≈ 0.9762 - 1
R ≈ -0.0238

Therefore,  

d) For i = 1.05% and π = 1.2%:
R = (1+0.012)/(1+0.0105) - 1
R = 1.012/1.0105 - 1
R ≈ 0.0015 - 1
R ≈ -0.9985

Therefore, the exact real interest rate is approximately -99.85%.

e) From the results obtained, we can draw the following conclusions about interest rates and inflation:

- When the nominal interest rate (i) is greater than the inflation rate (π), the real interest rate (R) is positive.

- When the nominal interest rate (i) is equal to the inflation rate (π), the real interest rate (R) is approximately zero.

- When the nominal interest rate (i) is less than the inflation rate (π), the real interest rate (R) is negative.

- Higher inflation rates generally lead to lower real interest rates, as the purchasing power of money decreases.

- Lower inflation rates generally lead to higher real interest rates, as the purchasing power of money increases.

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Answer:

see below

Step-by-step explanation:

5^2  means 5*5  not 5*2

5^2 = 5*5 = 25  not 10

Answer:

5*5 = 25

bobby mistake is doing 5*2 = 10

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

The calculated value of x in the right triangle is 6

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

The right triangle

Where we have

x/6 = 6/x

To solve this equation, we can use the property of cross-multiplication.

So for the equation x/6 = 6/x, we can cross-multiply as follows:

x/6 = 6/x

x * x = 6 * 6

x^2 = 36

To solve for x, we need to take the square root of both sides of the equation:

√(x^2) = √36

x = 6

The value of x is 6

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Answer:

c.(2x+3√3)²

step by step

4x²+3²(√3)²

4x²+9*3

4x²+27

Answer:

it is rational

Step-by-step explanation:

because our is a finite decimal which can be converted into a fraction

a. the mean waiting time that a driver faces prior to placing an order is 5.263 mins, b. the probability that a driver spends more than the average time before placing an order is 0.3682, c. the probability that a driver spends more than 12 minutes before placing an order is 0.1022 and d. the probability that a driver spends between 6 and 11 minutes before placing an order is 0.1961.

a. let x be the waiting time of the driven before placing an order.

x = Exponential

f(x) = 0.19e^-0.19x: x>0

Therefore Mean waiting time at the driven

= E(x) = \(\int\limits^D_0 {x} \, f(x)d = \int\limits^D_0 0.19{x}e^{-0.19x} \, d\)

\(= 0.19\frac{r(2)}{(0.19)^2}\\ \\= \frac{1}{0.19}\)

= 5.263 mins

b. Probability that a driven spends more than the average time

= P[x > 1/0.19]

= P[x > 5.26]

\(\int\limits^D_{5.26} 0.19e^{-0.192}dx\\\\= 0.19[\frac{e^{-0.192}}{-0.19} ]^\infty\\\\= e^{-0.19 * 5.26}\)

= 0.3682

c. Probability that the driven spends more than 12 mins before order = P[x > 12]

\(= \int\limits^D_{12} 0.19e^{-0.192}dx\\\\= 0.19[\frac{e^{-0.192}}{-0.19} ]^\infty _{12}\\\\= e^{-0.19 * 12}\)

= 0.1022

d. Probability that the driven spends between 6 and 11 mins = P[6 <x < 12]

\(= \int\limits^11_{6} 0.19e^{-0.192}dx\\\\= 0.19[\frac{e^{-0.192}}{-0.19} ]^{11} _{6}\\\\= e^{-0.19 * 6}-e^{-0.19 * 11}\)

= 0.1961

Hence the answer is a. the mean waiting time that a driver faces prior to placing an order is 5.263 mins, b. the probability that a driver spends more than the average time before placing an order is 0.3682, c. the probability that a driver spends more than 12 minutes before placing an order is 0.1022 and d. the probability that a driver spends between 6 and 11 minutes before placing an order is 0.1961.

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a) The total cost to produce 300 CD's is; $2550

b) The total cost C(n) in dollars of making n CDs is; C(n) = 1800 + 2.5n

We are given that;

Cost of recording an album = $1000

Cost to edit the album = $450

Cost for album art work = $350

Cost of each manufactured CD = $2.50

a) The fixed costs (no matter how many CDs are recorded) is;

Fixed costs = $1000 + $450 + $350 = $1800

The variable costs (depends on the number of CDs recorded) for 300 CD's is;

300 CDs * $2.50 = $750

Thus;

Total cost for 300 CD's = 1800 + 750 = $2550

b) We want to find the total cost function for making n number of CD's. From above, since Fixed cost is 1800 and variable cost is 2.5 per CD, then the function is;

C(n) = 1800 + 2.5n

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Complete question is;

A local polka band wants to make and sell CDs of its songs. Suppose it costs $ 1000 to record, $ 450 to edit, and $ 350 for album artwork, and suppose each CD that is manufactured will cost them $ 2.50

(a) How much will it cost to make 300 CDs?

(b) What is the total cost C(n) in dollars of making n CDs?

The given identity is not proven.

The given identity, tan(x)^3 = 3tan(x)/(1 - 3tan(x)), is not proven. To establish the validity of an identity, we need to show that it holds true for all values of x within the domain. Let's examine the given identity and its counterpart step by step to understand why it is not proven.

Starting with the left-hand side (LHS) of the given identity: tan(x)^3. Cubing the tangent function gives us (tan(x))^3 = tan(x) * tan(x) * tan(x).

Now, let's simplify the right-hand side (RHS) of the given identity: 3tan(x)/(1 - 3tan(x)). Multiplying the numerator and denominator by tan(x) gives us 3tan(x)^2 / (tan(x) - 3tan(x)^2).

Comparing the LHS and RHS, we observe that the two expressions are not equivalent. In other words, the given identity is not proven mathematically.

To establish the validity of this identity, further steps or algebraic manipulations are required to simplify and equate the LHS and RHS. However, as it stands, the given identity is not proven.

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The new points after the translation are (1, 0) and (1, 4)

A translation of 3 units to the right and 2 units down, applied to a general point (x, y), gives:

(x + 3, y - 2)

Here we know that one line passes through the points (-4, 2) and (-4, 6). (so this is a vertical line)

If we apply the translation, we will get:

(-4 + 3, 2 - 2) = (1, 0)

(-4 + 3, 6 - 2) = (1, 4)

These are the new points of the line.

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Answer:

Step-by-step explanation:

The given statement is false because the t distribution is not appropriate if it does not follow the bell curve.

In the given question we have to answer that the given statement is true and false.

The given statement is:

When constructing a confidence interval for a sample proportion, the t distribution is appropriate if the sample size is small.

The given statement is false because the t distribution is not appropriate if it does not follow the bell curve.

When data are presented on a graph, they follow a bell-shaped pattern known as the t-distribution, with the majority of observations occurring near to the mean and relatively few occurring in the tails.

In cases with smaller sample numbers and unknowable data variance, it is a kind of normal distribution.

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Answer: Are

Explaning

I think they are similiar because there is parralel lines they are perpendicular and opposite angles are equal making 25 = its oppisite side

Answer:

1) 4a + 8

2) 12a² - 8a

3) 2a² + 8a

4) 4 - 6a

Step-by-step explanation:

The GCF of two numbers is the greatest common number each of the original two numbers can be divided by to get a whole number.

Hope it helps <3

Answer:

4     4a+8

4a   \(12a^{2}\)+8a

2a   \(2a^{2} +8a\)

2     4-6a

Step-by-step explanation:

Okay basicly you wand to find the biggest number that can go into both numbers

like the greatest common fact for 4a+8 would be 4 since only one of the numbers have an a you would just leave that out

Since you can take a 4 and an a out of \(12a^{2} \\\) and out of 8a the greatest common factor would be 4a

Since you are able to take a 2 and an a out of \(2a^{2} +8a\) your greatest common factor would be a

Since the largest number that can go into 4 and 6 is 2 your answer would be 2

Hope this helps you understand!

Answer:

$640.25

Step-by-step explanation:

Answer:

$640.25

Step-by-step explanation: