The monthly rent on an ​-square-meter apartment in Monte​ Carlo, Monaco, is $1000 euros. The monthly rent on a ​450-square-foot apartment in Santa​ Fe, New​ Mexico, is ​$900. In terms of price per​ area, which apartment is less​ expensive?

Answer:

  32 degrees

Step-by-step explanation:

You want the smallest angle of a triangle in which the other two angles are 20 degrees larger than the smallest, and 3 times the smallest.

The sum of angles is 180 degrees. The three angles are x, (x+20), and (3x). Their sum is ...

  x +(x +20) +3x = 180

Collecting terms gives ...

  5x +20 = 180

  5x = 160 . . . . . . subtract 20

  x = 32 . . . . . . divide by 5

The smallest angle is 32 degrees.

The number of months so that the investment gets double will be 86 months.

Simple interest is the concept that is used in many companies such as banking, finance, automobile, and so on. The amount is given as,

A = P + (PRT)/100

Where P is the principal, R is the rate of interest, and T is the time.

The principal amount is $450 and if the amount gets doubled, then the value of the amount will be $900. The simple interest rate is 14%. Then the time is given as,

A = P + (PRT)/100

900 = 450 + [450 x 14 x T] / 100

450 = 450 x 14 x T / 100

T = 100 / 14

T = 7.14 years

T = 7.14 x 12

T = 85.7 ≈ 86 months

The number of months so that the investment gets double will be 86 months.

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Considering the definition of combination,  if a family has 5 children, in 10 ways the parents can have 2 boys and 3 girls as children.

Combinations of m elements taken from n to n (m≥n) are called all the possible groupings that can be made with the m elements in such a way that not all the elements enter; the order does not matter and the elements are not repeated.

To calculate the number of combinations, the following expression is applied:

[tex]mCn=\frac{m!}{n!(m-n)!}[/tex]

where "!" indicates the factorial of a positive integer, which is defined as the product of all natural numbers before or equal to it.

If a family has 5 children, you can know that:

So, you can observe that 5C3 is equal to 5C2. Then:

5C3 = 5C2 = [tex]\frac{5!}{3!2!}[/tex]= 10

Finally, if a family has 5 children, in 10 ways the parents can have 2 boys and 3 girls as children.

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The expression that have 2\3 as a product are 4/5 × 5/6  and 6/7 × 7/9 which is option (a) and (e) .

(a) 4/5 × 5/6 = 20/30

                     = 2 /3

(b) 7/8 × 9/10 = 63 / 80

(c) 1/3 × 2/3 = 2 /9

(d)  3/4 × 7/12 = 21 / 48

                       = 7 / 16

(e) 6/7 × 7/9 = 42 /63

                    = 6 / 9

                    = 2 / 3

Only the expression (a) and (e) have  2\3 as a product.

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The complete question is given below :

Choose all the expressions that have 2\3 as a product.

(a) 4/5 × 5/6

(b) 7/8 × 9/10

(c) 1/3 × 2/3

(d) 3/4 × 7/12

(e) 6/7 × 7/9

Using the together rate, it will take more 3.45 days to complete the work.

Division is one of the four basic operations of arithmetic, the ways that numbers are combined to make new numbers. The other operations are addition, subtraction, and multiplication.

The together rate is given by the sum of each separate rate.

For this problem, the rates are given as follows,

Ann,1/10 = 0.1

Ben,1/12 = 0.0833

Together,1/x

Hence the amount completed in 2 days is:

2 x (0.1 + 0.0833) = 0.3666

The amount it would take them to complete 100% of the project working together is found by the together rate as follows,

x = 60/11

x = 5.45 days.

The time it would take to do the remaining 100 - 36.66 = 63.34% of the project is,

0.6334 x 5.45 = 3.45 days.

It will take more 3.45 days to complete the work.

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Answer:

Step-by-step explanation:

4 is the maximum number of days.

Using Inequality, the maximum number of days that Lily can rent the car while staying within her budget is 4 days.

The rental car company charges $71.02 per day to rent a car and $0.12 for every mile driven.

Lily wants to rent a car and she plans to drive 475 miles. She has a budget of $390.

Therefore, the maximum number of days that Lily can rent the car while staying within her budget can be calculated as follows:

Using inequality,

total cost = 71.02(x) + 0.12(y)

where

x = number of days

y = number of miles

Therefore,

71.02x + 0.12(475) ≤ 390

71.02x ≤ 390 - 57

71.02x ≤ 333

x ≤ 333 / 71.02

x ≤ 4.68882005069

Therefore,

she can drive maximum of 4 days.

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The value of the composite function f(g(x)) is calculated as f(g(x)) = 65.

Composite functions is one in which one function is placed within another.

For, the given values in the question;

f(x) = 9x+2 and g(x) = x-2

We have to find the value of f(g(x)) for x = 9.

First estimate the value of g(x) by substituting  x = 9 in it.

g(x) = x-2

g(9) = 9-2 = 7

Now,

f(x) = 9x+2 and

f(g(x)) = f(7) = 9x+2, (substitute x = 7)

f(g(x)) = 9×7 + 2

f(g(x)) = 65.

Thus, the value of the composite function f(g(x))  = 65.

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1) This narrative is an example of a sample survey.

2) This narrative is an example of an experiment.

3) This narrative is an example of an observational study.

There are some common methods of data collection in statistical studies which are sample survey, observational study, experiments e.t.c

A sample survey is a survey that is done by taking a sample of people or items that represent a larger population.

An observational study is a type of study whereby a researcher utilizes observed information to gain more information about a group of individuals.

An experiment is where a researcher purposely applies different treatments to different groups and then does a comparison of  the groups to determine if there is any difference in a specific variable of interest.

1) This narrative is an example of a sample survey because he studied a sample of 50 people who exercise regularly to determine if their blood pressures are low or average.

2) This narrative is an example of an experiment because we see that he studies 20 people who exercise and another 20 who don't exercise and uses the result to generate a conclusion about both groups.

3) This narrative is an example of an observational study because he is using the information he gets from the question he asks every fifth patient to learn about a group of individuals.

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Marketable securities are 63,360 credits (refer to the table below for journal entries).

So,

The following can be deduced from the information provided in the question:

The purchase price per share will be as follows:

The share price will be as follows:

The following is the loss on the sale of marketable securities:

Then, the journal entries are: (Refer to the table below)

Therefore, marketable securities are 63,360 credits (refer to the table below).

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The correct question is given below:
Wheat Corporation pays $ 528 comma 000 for 100,000 shares to acquire 45​% common stock of Grain​ Investments, Inc. on January​ 5, 2018. Wheat Corporation sells 12 comma 000 shares for $ 54 comma 000 on January​ 6, 2018. What is the correct journal entry for the transaction on January​ 6, 2018?​ (Round any intermediate calculations to two decimal​ places, and your final answer to the nearest​ dollar.)

Answer:333R1 or as a mixed fraction 33 1/3. I believe this is right :]

Step-by-step explanation:

Answer:

Option 4

Step-by-step explanation:

This is the same as a rotation of 180° about the origin, which means we can negate the x and y coordinates of the preimage to get the coordinates of the image.

The algebraic expression for the given statement is: 2(n - 6).

To translate the statement, "twice the difference of a number and six", follow the steps below:

The two operations we would use are multiplication and subtraction.

The constants are 2 and 6.

Twice is translated as 2  ×, (-) is "difference".

Let the number be "n" .

The difference of a number, n, and 6, would be: n - 6.

Therefore, we would have the following algebraic expression: 2(n - 6).

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Step-by-step explanation:

For the value of x = 0 then the f(x) will became f(o) = 0

The original price of the car is $15,000

Let us assume the original price of car be x. So, forming the equation to find the value of x and hence the original price of the car.

Equation -

x - 20% × x = 12000

x - 20/100×x = 12000

Cancelling zero as common in both numerator and denominator, on the left hand side of the equation

x - x/5 = 12000

Taking LCM on Left Hand Side of the equation

(5x - x)/5 = 12000

Rewriting the equation

4x = 12000 × 5

Performing multiplication on Right Hand Side of the equation

4x = 60,000

x = 60,000 ÷ 4

Performing division

x = 15,000

Therefore, the original price of the car is $15,000.

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Answer:

[tex]\dfrac{q^{4} r^8}{p}[/tex]

Step-by-step explanation:

Given expression:

[tex]\dfrac{p^{-4}q^5r^6}{p^{-3}qr^{-2}}[/tex]

Separate the variables:

[tex]\implies\dfrac{p^{-4}}{p^{-3}} \times \dfrac{q^5}{q} \times \dfrac{r^6}{r^{-2}}[/tex]

[tex]\textsf{Apply exponent rule} \quad \dfrac{a^b}{a^c}=a^{b-c}:[/tex]

[tex]\implies p^{(-4-(-3)} \times q^{(5-1)} \times r^{(6-(-2)}[/tex]

[tex]\implies p^{(-4+3)} \times q^{(5-1)} \times r^{(6+2)}[/tex]

[tex]\implies p^{-1} \times q^{4} \times r^8[/tex]

[tex]\textsf{Apply exponent rule} \quad a^{-n}=\dfrac{1}{a^n}:[/tex]

[tex]\implies \dfrac{1}{p} \times q^{4} \times r^8[/tex]

Simplify:

[tex]\implies \dfrac{q^{4} \times r^8}{p}[/tex]

[tex]\implies \dfrac{q^{4} r^8}{p}[/tex]

The following statement are true:

It's an easy way to calculate just how long it's going to take for your money to double. Just take the number 72 and divide it by the interest rate you hope to earn. That number gives you the approximate number of years it will take for your investment to double.

Using the formula

time for doubling money= 72/R

So, 72/12 = 6 years

Thus, It will take 6 years to double the investment. This statement is true.

So, 72/18 = 4 years

Thus, It will take 4 years to double the investment. This statement is not true.

so, 72/8= 9 years.

Thus, It will take 9 years to double the investment. This statement is true.

So, interest = PRT/100

I  = (2000 × 0.05 × 20)

I = $2000

Thus, This statement is true.

Interest = ( 700 × 0.06 × 12 ) = $504

Amount after 12 years

=700 + 504

= $1204.

Thus, This statement is not true.

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Answer:

A

Step-by-step explanation:

It might be the best one!

Answer:

i'm pretty sure it's the second option

Step-by-step explanation:

Answer:

Step-by-step explanation:

You want the ratio of vowels to consonants in each of the words "pineapple" and "strawberry."

To form the reduced ratio vowels:consonants, we need to identify the type of letter each is. Here we use bold to identify the vowels.

  pineapple ⇒ 4:5

  strawberry ⇒ 3:7 . . . . counting "y" as a vowel

Answer:

-152

Step-by-step explanation:

-152 < 12

-152 is negative, which means it is less than 1.

12 is positive, which means it is greater than 1.

Therefore, -152 is the lesser of the two given numbers.

Have a great rest of your day! :)

Hi!

-152 is less than 12, because:

[tex]\mathbb{NUMBER \ LINE}[/tex]

[tex]_ < \!\!\!\rule{300}{1}\!\!\!_ >[/tex]

     [tex]-152[/tex]                                                                         [tex]12[/tex]

Cheers!

Have a nice day!

I hope this helps!

The rotation of the vertices L(2,-2), M(7,-3), and N(5,2) are L'(-2, -2), M'(-7, -3), and N'(5, 2) respectively.

Let the point be having coordinates (x,y).

If the point is in first quadrant:

Subcase: Clockwise rotation:

Then (x,y) → (y, -x)

Subcase: Counterclockwise rotation:

Then (x,y) → (-y, x)

We know that the rotation of a point (x,y) about the origin by 90° is (-y,x).

Given vertices of ΔLMN are  L(2,-2), M(7,-3), and N(5,2).

Let consider the rotations of L, M, and N are L', M', and N' respectively.

The rotation of a point L(2,-2)  about the origin by 90° is L'(-2,-2).

The rotation of a point M(7,-3) about the origin by 90° is M'(-7,-3).

The rotation of a point N(5,2) about the origin by 90° is N'(5,2).

Hence, the points  L'(-2, -2), M'(-7, -3), and N'(5, 2) are the rotation of vertices.

Therefore, L, M, and N of ΔLMN about the origin by 90°.

Hence, The rotation of the vertices L(2,-2), M(7,-3), and N(5,2) are L'(-2, -2), M'(-7, -3), and N'(5, 2) respectively.

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x+5/-6= -4

multiply each side by -6

x-5/6= -4

*-6 *-6

x+5=24

subtract 5 from each side

x=19

Step-by-step explanation:

Number of post-it's = 6*100=600+4*10+4+3=647post-its

Therefore, on dividing 6216 by 21 we get 126

Given 6216 / 21

21 ) 6216 ( 296

      42

(-)...................     (By subtracting these two numbers we get )

      201            

       189

(-)..................    

          126

          126

.(-)..........................

            0

Therefore 6216 / 21 = 126

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Answer:

21000

Step-by-step explanation:

21000

The number of miles that John Smith can travel with his budget if he has ​$500 left in his budget for car rental expenses is 900 miles.

Amount left in the budget = $500

Since he will rent a car that costs $50 per day and $ 0.50per mile, the expression will be:

50 + 0.50m = 500

where m  = number of miles

Collect like terms

0.5m = 500 - 50

0.5m = 450

Divide

m = 450/0.5

m = 900

Therefore, the number of miles that John Smith can travel with his budget is 900 miles.

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Answer:

7.18421051

Step-by-step explanation:

76 ÷ 6 = 12.6666667

91 ÷ 12.6666667 = 7.18421051

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