A real estate company owns 120 apartments which are fully occupied when the rent is $800 per month. Analytics indicate that for each $40 increase in rent, 5 apartments will become unoccupied. What rent should be charged in order to obtain the largest gross income?

Answer:

4

5/12 / 4 = 1

this just extraghsndgdgdbdbdhdhdhdh

Answer:

If x is the length of the square tomato patch, then the width of the tomato patch is also x, since it is a square.

According to the problem, the length of the rectangular vegetable garden must exceed three times the length of the tomato patch by 2 feet, so the length of the garden is:

3x + 2

The width of the rectangular vegetable garden must exceed the width of the tomato patch by 5 feet, so the width of the garden is:

x + 5

To find the area of the garden, we multiply its length by its width:

Area of garden = length x width

Area of garden = (3x + 2)(x + 5)

To find the area of the tomato patch, we note that it is a square with side length x, so its area is:

Area of tomato patch = x²

Therefore, the area of the vegetable garden that is not taken up by the tomato patch is:

(3x + 2)(x + 5) - x²

And the total area of the vegetable garden, including the tomato patch, is:

x² + (3x + 2)(x + 5)

Simplifying:

x² + (3x² + 17x + 10)

4x² + 17x + 10

So the total area of the garden is 4x² + 17x + 10 square feet.

\(\begin{array}{llll} \textit{Logarithm Cancellation Rules} \\\\ \stackrel{ \textit{we'll use this one} }{log_a a^x = x}\qquad \qquad a^{log_a (x)}=x \end{array} \\\\[-0.35em] ~\dotfill\\\\ \log_2\left( \cfrac{1}{16} \right)+4\implies \log_2\left( \cfrac{1}{2^4} \right)+4\implies \log_2(2^{-4})+4\implies -4+4\implies \text{\LARGE 0}\)

\(\rule{34em}{0.25pt}\\\\ \textit{exponential form of a logarithm} \\\\ \log_a(b)=y \qquad \implies \qquad a^y= b\qquad\qquad \\\\[-0.35em] ~\dotfill\\\\ \log_2\left( \cfrac{1}{16} \right)=y\implies 2^y=\cfrac{1}{16}\implies 2^y=2^{-4}\implies y=-4\)

Answer:

on the periodic table, alkali metals are the most reactive ones and are found in the first group of elements on the left side of the table. Alkali metals such as  lithium (Li), sodium (Na), potassium (K), rubidium (Rb), cesium (Cs), and francium (Fr) are reactive because they have extra electron which they are trying really hard to get rid of. Once they get rid of this electron, these elements have a full octet.

Answer:

Among the metals, group 1 elements are the most reactive because they have only one valence electron. They tend to lose this electron to attain a stable configuration. As we move down group 1, the elements lose their electrons more readily. So, rubidium is the most reactive metal. Among the nonmetals, group 7 elements require only one electron to attain a stable electron configuration. The affinity for electrons decreases in the group from top to bottom. So, fluorine is the most reactive nonmetal.

Step-by-step explanation:

Answer:

The correct option - Figure A

Step-by-step explanation:

The exact question is as follows :

Given - Royce kept track of the inches of snowfall in his town over a 15-day period. Royce's data is given below.

1, 0, 0, 3, 5, 0, 0, 0, 2, 2, 1, 7, 2, 2, 3

To find - Which box plot shows this data set?

Solution -

Given the data is -

1, 0, 0, 3, 5, 0, 0, 0, 2, 2, 1, 7, 2, 2, 3

Firstly,

Arrange the data from smallest to largest

0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 3, 3, 5, 7

Now,

Find the median

Median is the middle value - i.e. (15 + 1)/2 = 8th value

So, we get Median = 2

Now,

Find the Quartile -

The first quartile is the median of the data points to the left of the median.

i.e. Median of 0, 0, 0, 0, 0, 1, 1

so, we get

Q1 = 0

The third quartile is the median of the data points to the right of the median.

i.e. Median of 2, 2, 2, 3, 3, 5, 7

so, we get

Q3 = 3

Now,

Compute the min and the max

Minimum value = 0

Maximum value - 7

So,

five number summary is -

0, 0, 2, 3, 7

And we draw the box as follows -

So,

The correct option - Figure A

Answer:

Quick answer option C

Step-by-step explanation:

Answer:

Step-by-step explanation:

Confidence coefficient is also the confidence level. A confidence coefficient of 0.95 is the same as a confidence level of 95%.

Confidence level is used to express how confident we are that the population mean lies within the calculated confidence interval. It expresses the possibility of getting the same result if tests are repeated. Since the study reports that college students work, on average, between 4.63 and 12.63 hours a week, with confidence coefficient .95, then the true statement is

G. We are 95% confident that the population mean time that college students work is between 4.63 and 12.63 hours a week.

Step-by-step explanation:

given,

\( log_{7}(4) = 0.712 \\ log_{7}(12) = 1.277 \\ to \: find \: log_{7}( \frac{1}{3} ) \\ log_{7}( \frac{1}{3} ) = log_{7}( \frac{4}{12} ) \\ by \: logarithmic \: result \: log( \frac{a}{b} ) = log(a) - log(b) \\ implies \\ log_{7}( \frac{1}{3} ) \: = log_{7}(4) - log_{7}(12) \\ = 0.712 - 1.277 \\ = −0.565\)

I hope this is the answer.

pls mrk me brainliest, i rly worked hard on this i need to get the next rank

Answer:

I can't see the image but to help the formula is volume=LENGTH x Width x Height :)

Step-by-step explanation:

Answer:

SORRYYYYYYY!!!!!!!!!!!

Answer:

2. kilograms

Step-by-step explanation:

Answer:

Step-by-step explanation:

You want to identify the graphs that go with each of these functions, along with a particular point on the curve.

The equations are written here in standard form, factored form, and vertex form. (The "factored form" is sometimes called "intercept form.") Each of these forms can be analyzed for characteristics relevant to identifying the corresponding graph.

In general, we can readily identify the opening direction, based on the sign of the leading coefficient. Depending on the form, we can also identify zeros, the vertex, and the y-intercept.

The line of symmetry (x-coordinate of the vertex) of the equation in the form ax² +bx +c is x = -b/(2a). That is, it will be left of the y-axis when the coefficients 'a' and 'b' have the same sign.

The graph of equation A will be graph 4, the only one with its vertex left of the y-axis. The y-intercept is the constant: point S = (0, 9).

Equation B has a positive leading coefficient, so opens upward. The zeros of the factors are -3 and +9, so identify the places where the graph crosses the x-axis. Graph 3 is the only one that opens upward and has x-intercepts. Point R is (9, 0).

The vertex form of a quadratic is ...

  y = a(x -h)² +k . . . . . . . vertex (h, k); leading coefficient 'a'

Equation C has its vertex at (h, k) = (3, 9) and opens upward (a>0). Graph 1 is the only one matching those characteristics. Point P is the vertex, so point P is (3, 9).

Equation D is the same as equation B, but with a negative leading coefficient. That is, it opens downward and crosses the x-axis in two places, at x = -3 and x = 9. Graph 2 is matches this description. The left zero is point Q, (-3, 0).

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Answer:

B

7 less than 3 times a number (X) is (3x-7), and then the sum of these two numbers means we have (3x-7)+X, and then we know this equals 109, leaving us with:

(3x-7)+x = 109

Answer:

True

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

7 times a number would be 7n and with addition you can move the numbers around and it won't affect the result.

Answer: Cost = $70 + ($13)(n)

Step-by-step explanation: As we can see that the cost of the banquet is 70$ and for each person attending there will be a 13$ extra so as to model this problem, let's from an expression. The expression that models the problem can be written as -

Cost = $70 + ($13)(n)

In this expression 'n' will be the number of people attending the banquet at that time.

In this expression the 'x' will be the number of people attending the banquet. 'y' will be the cost of the banquet. y-intercept will be 70$, which is actually the cost of the banquet and the slope will be 13$ which is the cost for each person that will be attending.

Answer:

Ok, I can only see a little bit of the question but if it is asking for the other sides of the triangle then I think it would be...

Step-by-step explanation:

6 on each side because they are equal sides.  Please don't give me brainliest yet it that is wrong. Even though I would really appreciate it because I dont have any yet. But please tell me if you think im wrong :-) You can see that 6 divided by 1.5 is 4 so that is the scale factor.

Answers:

5)

a.Highest- 96

Lowest-52

b.74

c. 70-80

d. 13

e. 7

6)

a. 89%

b. 51%

c. In the morning(89%)

Answer:

20π [in].

Step-by-step explanation:

1. formula is:

C=π*2r;

2. the circumference according to the formula is:

C=π*10*2=20π.

Answer:

-8

Step-by-step explanation:

any number divided by a nega is going to be neg if it is multiplied by two nega's its positive.

The difference in overall gain between selling stock A at the current day's high price or low price and selling stock B at the current day's high price or low price is $239.50.

To determine the difference in overall gain or loss between selling stock A at the current day's high price or low price and selling stock B at the current day's high price or low price, we need to calculate the selling prices of the stocks.

Stock A:

High price = $105.19

Low price = $103.25

Close price = $103.38

Stock B:

High price = $145.18

Low price = $143.28

Close price = $144.05

The investor purchased 50 shares of stock A at $90 per share and 75 shares of stock B at $145 per share.

To calculate the selling prices, we need to multiply the number of shares by the respective selling price.

Selling price of stock A at the high price: 50 shares \(\times\) $105.19 = $5,259.50

Selling price of stock A at the low price: 50 shares \(\times\) $103.25 = $5,162.50

Selling price of stock B at the high price: 75 shares \(\times\) $145.18 = $10,888.50

Selling price of stock B at the low price: 75 shares \(\times\) $143.28 = $10,746.00

Now, let's calculate the difference in overall gain or loss:

Difference in overall gain = Selling price at the high price - Selling price at the low price

= ($5,259.50 + $10,888.50) - ($5,162.50 + $10,746.00)

= $16,148.00 - $15,908.50

= $239.50

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There are 21 different city combinations possible for Peter's summer traveling.

To determine the number of different city combinations possible for Peter's summer traveling, we need to calculate the number of combinations of choosing 5 cities out of the 7 available cities.

Since the order in which he visits the cities does not matter, we are dealing with combinations rather than permutations.

The formula to calculate the number of combinations is given by the binomial coefficient, also known as "n choose k," denoted as C(n, k) or (nCk).

In this case, we have 7 cities to choose from, and Peter will visit 5 cities. Thus, we can calculate the number of city combinations as follows:

C(7, 5) = 7! / (5! * (7-5)!)

= 7! / (5! * 2!)

= (7 * 6 * 5!) / (5! * 2)

= (7 * 6) / 2

= 42 / 2

= 21

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The ratios of the corresponding pars and sides of the similar triangles and the value of x are presented as follows;

ΔABC ~ ΔEFG, therefore; \(\frac{BC}{BD} = \frac{FG}{FH}\)

ΔPQR ~ ΔTUV, therefore; \(\frac{QS}{QR} = \frac{UW}{UV}\)

ΔGHI ~ ΔKLM, therefore; \(\frac{HJ}{LN} = \frac{HI}{LM}\)

Similar triangles are triangles that have the same shape, and interior angles, but may have different sizes or side lengths.

The corresponding parts of the triangles are;

BD in ΔABC corresponds to FH in ΔEFG

The corresponding sides of the triangles are;

BC in ΔABC corresponds to FG in ΔEFG

The triangles ΔABC and ΔEFG are similar if we get;

\(\frac{BC}{BD} = \frac{FG}{FH}\)

The corresponding parts of the triangles ΔPQR, and ΔTUV are;

QS corresponds to UW

Corresponding sides in the triangles includes;

QR and UV

Therefore, we get;

\(\frac{QS}{QR} = \frac{UW}{UV}\)

The corresponding parts are;

HJ and LN

The corresponding sides are;

HI and LM

Whereby the triangles, ΔGHI and ΔKLM are similar, we get;

\(\frac{HJ}{LN} = \frac{HI}{LM}\)

1. The similar triangles are; ΔSTU ~ ΔDEC

Therefore; x/15 = 16/20

x = (16/20) × 15 = 12

2. The similar triangles are; ΔGHI, and ΔMLK

Therefore, the ratio of the corresponding parts and sided are;

10/8 = x/14

x = (10/8) × 14 = 17.5

3. The similar triangles are; ΔABC ~ ΔEGF

Therefore; x/38 = 24/32

x = (24/32) × 38 = 28.5

4. The similar triangles are; ΔPQR ~ ΔUTS

The corresponding sides are; PQ = x and TU = 42

The lengths of the corresponding parts are; 12 and 15

Therefore, we get;

x/42 = 12/15

x = (12/15) × 42 = 33.6

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When it comes to interest, most Certificates of Deposit (CDs) will allow periodic interest payouts. So, correct option is B.

A CD is a type of savings account that allows you to earn a fixed interest rate on your deposit for a specific period of time, called the term. Typically, the longer the term of the CD, the higher the interest rate offered.

However, during the term of the CD, the funds are locked in, meaning that you cannot withdraw the principal without incurring a penalty.

While some CDs may allow for unlimited withdrawals of interest, this is not common, and may still come with restrictions or penalties. Loans against principal are also not typically allowed with CDs, as the funds are meant to be held for a set term.

Therefore, the most common option available for CD holders is to receive periodic interest payouts, which can be monthly, quarterly, or annually, depending on the terms of the CD. This allows the CD holder to earn interest on their deposit while still receiving some income during the term of the CD.

So, correct option is B.

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The value of x is 30 degrees as it is a complimentary angle. When two angles' measurements add up to 90 degrees, they are said to be complimentary. When two angles' measures sum up to 180 degrees, they are said to be supplementary.

Complementary angles are two angles with a combined angle of 90 degrees, whereas supplementary angles have a combined angle of 180 degrees.

Reflex angles are those that are larger than 180 degrees and less than 360 degrees. So 270 degrees is a reflex angle.

Since it is a right angle triangle,

hence

\((2x+1)+29=90\\2x+1=61\\2x=60\\x=30\)

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The amount of square feet of insulation that will cover the wall is 200 ft square.

One wall in Mr. Parker’s attic is shaped like a trapezoid. He wants to cover the wall with insulation that is sold by the square foot. Therefore, the number of square feet of insulation that will cover the wall can be calculated as follows:

The wall is shaped like a trapezoid. To insulate the whole wall, the square feet required is the area of a trapezoid.

Hence,

area of a trapezoid = 1 / 2 (a + b)h

where

Therefore,

area of the trapezoid = 1 / 2 (14 + 36)8

area of a trapezoid = 1 / 2 (50)8

area of a trapezoid = 400 / 2

area of a trapezoid =  200 ft²

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Answer:

So Alina can make a box with dimensions 8.445 inches by 8.445 inches by 8.445 inches (with a metal top) that will hold approximately 606.526 cubic inches.

Step-by-step explanation:

Let's assume that the length of one side of the square base of the box is "x". Then the height of the box is also "x" to maximize the volume.

The surface area of the box (excluding the top) is given by:

2(x^2) + 4(x^2) = 6(x^2)

The surface area of the metal top is:

x^2

The total surface area of the box is the sum of the surface area of the box and the surface area of the metal top:

6(x^2) + x^2 = 7(x^2)

The cost of the wood for the box is:

5 cents per square inch * 6(x^2) = 30x^2 cents

The cost of the metal for the top is:

12 cents per square inch * x^2 = 12x^2 cents

The total cost of the box is:

30x^2 + 12x^2 = 42x^2 cents

We want to find the maximum volume of the box that can be made with $30, which is 3000 cents. Therefore, we can set up the equation:

42x^2 = 3000

Solving for x, we get:

x^2 = 71.429

x ≈ 8.445

Therefore, the maximum volume of the box is:

V = x^2 * x = (8.445)^3 ≈ 606.526 cubic inches.

So Alina can make a box with dimensions 8.445 inches by 8.445 inches by 8.445 inches (with a metal top) that will hold approximately 606.526 cubic inches.

The inequality for this situation is given as b + n ≥ 16 and 6b + 9n > 108

An inequality is an expression that shows the non equal comparison of two or more numbers and variables.

Let b represent the number of bracelets she sells, and let n represent the number of necklaces she sells.

Hence:

b + n ≥ 16  (1)

and:

6b + 9n > 108   (2)

The inequality for this situation is given as b + n ≥ 16 and 6b + 9n > 108

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(a) The errors made by the student are:

Incorrectly expanding 49(2) as 24 instead of 98.

Mistakenly factoring the quadratic equation as (y - 8)(y - 1) instead of

\(y^{2} - 9y + 8.\)

(b) The exact solution to the equation is x = 7/11.

(a) The student made two errors in their solution:

Error 1: In the step \("22x + 49(2) = 0,"\) the student incorrectly expanded 49(2) as 24 instead of 98. The correct expansion should be 49(2) = 98.

Error 2: In the step \("y^{2} - 9y + 8 = 0,"\) the student mistakenly factored the quadratic equation as (y - 8)(y - 1) = 0. The correct factorization should be \((y - 8)(y - 1) = y^{2} - 9y + 8.\)

(b) To find the exact solution to the equation, let's correct the errors made by the student and solve the equation:

Starting with the original equation: \(22x + 4 - 9(2) = 0\)

Simplifying: 22x + 4 - 18 = 0

Combining like terms: 22x - 14 = 0

Adding 14 to both sides: 22x = 14

Dividing both sides by 22: x = 14/22

Simplifying the fraction: x = 7/11

Therefore, the exact solution to the equation is x = 7/11.

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