the digit 8 in which number represents 0.08

Answer:

Step-by-step explanation:

Answer:

The correct option is c. An amount equal to or greater than $25,000 but less than $36,000.

Step-by-step explanation:

Note: This question is not complete. The complete question is therefore provided before answering the question as follows:

Amazon Rafting just bought a new trailer. To pay for the trailer, the company took out a loan that requires Amazon Rafting to pay the bank a special payment of $8,700 in 5 years and also pay the bank regular payments of $4,100 each year forever. The interest rate on the loan is 14.3 percent per year and the first $4,100 yearly payment will be paid in one year from today. What was the price of the trailer?

a. An amount less than $14,000 or an amount equal to or greater than $62,000

b. An amount equal to or greater than $14,000 but less than $25,000

c. An amount equal to or greater than $25,000 but less than $36,000

d. An amount equal to or greater than $36,000 but less than $49,000

e. An amount equal to or greater than $49,000 but less than $62,000

The explanation of the answer is now provided as follows:

The price of the trailer can be calculated using the following formula:

Price of the trailer = (Special payment in 5 years / (1 + r)^n) + (Annual regular payment forever / r) .................... (1)

Where:

Special payment in 5 years = $8,700

r = Interest rate = 14.3% or 0.143

n = number of years = 5

Annual regular payment forever = $4,100

Substituting the values into equation (1), we have:

Price of the trailer = ($8,700 / (1 + 0.143)^5) + ($4,100 / 0.143)

Price of the trailer = ($8,700 / 1.95088267511394) + $28,671.33

Price of the trailer = $4,459.52 + $28,671.33

Price of the trailer = $33,130.85

Since the calculated price of the trailer is $33,130.85, the correct option is c. An amount equal to or greater than $25,000 but less than $36,000.

100 miles in a day the truck should have to cover so that the rental costs for company A and company B are same

Company A rented a truck for  ​$70 a day and $.5 per mile will be added accordingly. Similarly, Company B rented a truck for  ​$30 a day and $.9 per mile will be added as per distance covered.

Let the number of miles travelled by the truck be x.

Then, we can depict the given information in terms of equation and will equate them further to solve according to the question need.

So, total rent to be pay to company A = ​$(70+0.5x)

and total rent to be pay to company B = ​$(30+0.9x)

Now, the number of miles in a day at which the rental costs for Company A and Company B are the same will be

70+0.5x = 30+0.9x .............(1)

Now, solve equation (1) in order to calculate the value of x.

70-30 = 0.9x-0.5x

40 = 0.4x

40/0.4 = x

400/4 = x

100 = x

∴ x = 100

Hence, 100 miles in a day the truck should have to cover so that the rental costs for company A and company B are same.

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Answer:

Allan needs 35 liters to travel 420km

Answer:

The answer should be: 35 liters of fuel

Step-by-step explanation:

Answer:

6y^3 + 9x^2 + 5

Step-by-step explanation:

Answer:

6y^3 + 9×^2 + 5

Step-by-step explanation:

not sure the answer

Answer:

The correct answer is B, I took the test :)

You just turn the percentages into decimals

The probability distribution table is formed clearly in the answer part.

Probability is the branch of Mathematics that deals with the measurement of the chance of occurrence of a random event.

The probability of any event always lie in the close interval of 0 and 1 [0,1].

The probability for all the elements in the sample space can be shown in one table known as distribution table.

Suppose X be the event of choosing a major.

Then, its probability can be given as P(X).

Here, the percent value of a given event is equivalent to their probability.

It can be represented in the form of table as,

X (Major chosen by student)                              P(X) (Probability)

    Math                                                                    3% = 0.03

   Nursing                                                                22% = 0.22

  Psychology                                                           16% = 0.16

 Criminal justice                                                      11% = 0.11

   Business                                                              48% = 0.48

This table is known as the probability distribution table.

Hence, the probability distribution table is formed by calculating the probability for each of the events.

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Answer:

2/8, 5/8

Step-by-step explanation:

\(\frac{1}{4}*\frac{2}{2} =\frac{2}{8} \\\\\frac{3}{8} +\frac{2}{8} =\frac{5}{8}\)

Multiplying by 2/2 is like multiplying by 1, so it doesn't affect the value.

To add fractions with the same denominator just add the numerator, the denominator stays the same.

The fraction is 2/8 and the sum is 5/8.

The fractional bar is a horizontal bar that divides the numerator and denominator of every fraction into these two halves.

Given:

let the numerator be x when denominator is 8.

so, 1/4 = x /8

8 = 4x

x= 8/4

x= 2

Now, fraction resulted above is added with 3/8

2/8 + 3/8

= (2+3)/8

= 5/8

Hence, the sum is 5/8.

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This statement in the article is wrong because $2.69 is not the mean price ($2.81)

The prices from 5 gas stations surveyed are given as:

$2.79, $2.99, $2.69, $2.89, and $2.69.

There are no outliers in the dataset

So, the dataset can be summarized by the mean

The mean is

Mean = Sum/Count

So, we have

Mean = ($2.79+ $2.99+ $2.69+ $2.89+$2.69)/5

Evaluate

Mean = 2.81

The article quoted $2.69 as the typical price

This statement in the article is wrong because $2.69 is not the mean price ($2.81)

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There are 6 ways tο chοοse 2 οbjects withοut replacement frοm 3 οbjects if the chοice matters and 3 ways tο chοοse 2 οbjects withοut replacement frοm 3 οbjects if the chοice dοes nοt matter.

The prοduct οf all pοsitive integers less than οr equal tο a given pοsitive integer and denοted by that integer and an exclamatiοn pοint. Thus, factοrial seven is written 7!, meaning 1 × 2 × 3 × 4 × 5 × 6 × 7. Factοrial zerο is defined as equal tο 1.

If the chοice matters (i.e., the οrder οf the chοsen οbjects matters), then there are 3 pοssible chοices fοr the first οbject and 2 pοssible chοices fοr the secοnd οbject.

Thus, there are 3 * 2 = 6 ways tο chοοse 2 οbjects withοut replacement frοm 3 οbjects if the chοice matters.

If the chοice dοes nοt matter (i.e., the οrder οf the chοsen οbjects dοes nοt matter), then there are 3 chοοse 2 = 3!/((3-2)!*2!) = 3 ways tο chοοse 2 οbjects withοut replacement frοm 3 οbjects if the chοice dοes nοt matter.

Therefοre,  there are 6 ways tο chοοse 2 οbjects withοut replacement frοm 3 οbjects if the chοice matters and 3 ways tο chοοse 2 οbjects withοut replacement frοm 3 οbjects if the chοice dοes nοt matter.

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The volume of the cylinder is 3768 square centimeters

The formula used for calculating the volume of a cylinder is expressed as;

V = πr²h

Given that the parameters are represented as;

From the diagram shown, we have;

Radius = 10

Height = 12

Substitute the values, we have;

Volume = 3.1 4× (10)²× 12

find the square value

Volume = 3.14 × 100 × 12

multiply the values

Volume = 3768 square centimeters

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Answer:

\(4 \sqrt{2} \)

\( \sqrt{32} = \sqrt{16 \times 2} = 4 \sqrt{2} \)

Answer:

960cm³

Step-by-step explanation:

Find the base of the triangle (use phytagoras theorem)

c²= a²+b²

20²= 16²+b²

400=256+b²

b²=400-256

b²= 144

b=

\( \sqrt{144} \)

base= 12

Volume: (1/2×b×h)×l

= (1/2×12×16)×10

=(6×16)×10

=96×10

=960cm³

Step-by-step explanation:

On the region, (-oo,0.5), the graph formes a upside U shaped , this mean the graph is concave down on this region. this implies that our second derivative is negative and our first derivative is changing negatively.

The graph is concave up from (0.5,oo) since the graph formes a U shape.

This also implies that (0.5) is a inflection point

The function crosses the x axis at -1,0,3

So the 2nd,3rd,6th, 7th options are correct

The table in the list of tables that represent an actual function is the first table i.e.

x y

-3 10

4 4

-5 -3

4 4

The table of values is given as:

Table 1

x y

-3 10

4 4

-5 -3

4 4

Table 2

x y

2 8

6 9

6 3

5 7

Table 3

x y

1 2

1 4

1 6

1 8

Table 4

x y

5 2

-3 2

2 2

1 7

For a table to represent a function, each of the x value on the table must correspond to exactly one y value

i.e.

x1 = y1

x2 = y2

And so on

Using the above highlights, the table that represents a function is table 1

Hence, the table in the list of tables that represent an actual function is the first table i.e.

x y

-3 10

4 4

-5 -3

4 4

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Answer:

6610

Step-by-step explanation:

We have tan(X) = opposite/ adjacent

tan(QBP) = PQ/BQ

tan(35) = PQ/BQ    ---eq(1)

tan(QAP) = PQ/AQ

tan(20) = \(\frac{PQ}{AB +BQ}\)

\(=\frac{1}{\frac{AB+BQ}{PQ} } \\\\=\frac{1}{\frac{AB}{PQ} +\frac{BQ}{PQ} } \\\\= \frac{1}{\frac{230}{PQ} + tan(35)} \;\;\;(from\;eq(1))\\\\= \frac{1}{\frac{230 + PQ tan(35)}{PQ} } \\\\= \frac{PQ}{230+PQ tan(35)}\)

230*tan(20) + PQ*tan(20)*tan(35) = PQ

⇒ 230 tan(20) = PQ - PQ*tan(20)*tan(35)

⇒ 230 tan(20) = PQ[1 - tan(20)*tan(35)]

\(PQ = \frac{230 tan(20)}{1 - tan(20)tan(35)}\)

\(= \frac{230*0.36}{1 - 0.36*0.7}\\\\= \frac{82.8}{1-0.25} \\\\=\frac{82.8}{0.75} \\\\= 110.4\)

PQ = 110.4

≈110

Height above sea level = 6500 + PQ

6500 + 110

= 6610

Answer:

89

Step-by-step explanation:

The equation for the line of best fit is given as follows:

y = 50x/3.

The slope-intercept equation for a linear function is presented as follows:

y = mx + b.

The parameters of the definition of the linear function are given as follows:

From the graph, when x = 0, y = 0, hence the intercept b is given as follows:

b = 0.

Hence:

y = mx.

When x = 3, y = 50, hence the slope m is given as follows:

3m = 50

m = 50/3.

Hence the equation is:

y = 50x/3.

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       The equation representing the relationship between Electricity and  Gas used, and your Bill is:

      T  =  0.25 * k + 0.97 * t

        Make a plan:

We need to find the equation that represents the relationship between the total monthly bill (T), The Kilowatt Hours of Electricity used (k), and the Terms of Gas used (t).

T  =  0.25  *  k  +  0.97  *  t

1 - Write the Equation for the cost of Electricity:

        0.25 * k

2 - Write the Equation for the Cost of Gas:

       0.97 * t

3 - Combine the Equations to Represent the total Monthly Bill (T):

       T  =  0.25 * k + 0.97 * t

Hence,  The equation representing the relationship between Electricity and  Gas used, and your Bill is:

       T  =  0.25 * k + 0.97 * t

I hope that helps!

Answer:

Discrete, because it doesnt kepe going, it stops at 10

Step-by-step explanation:

Greetings! Hope this helps!

Answer

7/24 of a mile.

Explanation

5/8 1/3, Find common demoninator

15/24 8/24, Subtract

7/24 simplify

Have a good day!

_______________

A brainliest would help tons! :D

Answer:

23/24 miles

Step-by-step explanation:

You have to simplify the fractions to like terms

The lowest common number that 3 and 8 have in common is 24

1 x 8 = 8

3 x 8 = 24

This makes 8/24

5 x 3 = 15

8 x 3 = 24

This makes 15/24

Now you can add 8/24 and 15/24

8 + 15 = 23

Because it is a common denominator, we do not add it, which makes 23/24

Now you simplify as much as possible (if possible)

Because 23 is not divisable by any other number, 23/24 is the simpliest form

Answer:

\( \dfrac{25}{45} \)

Step-by-step explanation:

\( \dfrac{5}{9} \times \dfrac{5}{5} = \dfrac{5 \times 5}{9 \times 5} = \dfrac{25}{45} \)

The length AC in the kite is 8.7 cm.

A kite is a quadrilateral that has two pairs of consecutive equal sides and

perpendicular diagonals. Therefore, let's find the length AC in the kite.

Hence, using Pythagoras's theorem, let's find CE.

Therefore,

7² - 4² = CE²

CE = √49 - 16

CE = √33

CE = √33

Let's find AE as follows:

5²- 4² = AE²

AE = √25 - 16

AE = √9

AE = 3 units

Therefore,

AC = √33 + 3

AC = 5.74456264654 + 3

AC = 8.74456264654

AC = 8.7 units

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Answer:

(c) A false negative (concluding the job candidate is not a drug user when he or she indeed is)

Step-by-step explanation:

First, we need to determine if it is possible for type II error to occur or not.

In analysis, type 2 error occurs when the stated null hypothesis is false.

The given null hypothesis here is  "a job candidate is not a drug user" which indicates false. This means that option (e) cannot be the solution.

Having established that there is a possibility for an occurrence of type II error.

Next, is to determine the error.

Type II error implies false negative; hence, options (a), (b) and (d) cannot be the solution.

(c) is correct.

the answer x=2 hope it helps :D

Answer:

can u explain this a little bit more i think ik the answer but im not sure #3 is well i think it is 120#4 is 164.85 #5 is 40 yea hope this helps :)

Step-by-step explanation:

Answer:

#3 = 120

#4 = 164.85

#5 = 40

#6= 240

Step-by-step explanation:

hope i helped!

Answer:

The answer to your question is given below

Step-by-step explanation:

Let 'a' and 'b' be the length of the first two sides of the triangle and let 'c' be the longest length of the triangle.

The following data were obtained from the question:

Length of a = 17 m

Length of b = 144 m

Length of c = 145

For the triangle to be a right-angled triangle, then it must certify the pythagoras theory which states that the square of the two sides in a right-angled triangle is equal to the square of the longest side.

Thus, we can prove that the triangle is a right-angled triangle as illustrated below:

a² + b² = c²

Length of a = 17 m

Length of b = 144 m

Length of c = 145

17² + 144² = 145²

289 + 20736 = 21025

21025 = 21025

From the above illustration, we can see clearly that the square of two sides of the triangle is equal to the square of the longest side. Therefore, the triangle is a right-angled triangle.

Answer:

the difference between 5/8 and -1/3

is that  if you divide 5/8 = 0.625

and -1/3= -0.333333333

Answer:

10

Step-by-step explanation:

Total pizza topped with pepperoni, sausage or pepperoni and sausage = 33

Number of pizzas with pepperoni = 29

Number of pizzas with pepperoni and sausage = 15

Pizza with pepperoni only = 29 - 15 = 14

Pizza with sausage only = 33 - 29 = 4

Pepperoni only than sausage only :

14 - 4 = 10