Consider a lease for 120,000 square feet of space and specifies base rent of $5 psf. In addition, the lease provides for percentage rent of 3% of sales in excess of the natural breakpoint. a) Calculate the natural breakpoint for this lease.

Answer:

135°

Step-by-step explanation:

Because the lines are parallel, <1 and <3 are the same.

The quadratic function for the value of David's investment indicates;

(i) $45,000

(ii) 9.375 months

A quadratic function is a function that can be expressed in the form; f(x) = a·x² + b·x + c, where a ≠ 0, and a, b, and c are numbers.

The model of the value of the investment in the bank obtained from the amount of his retirement funds David invested in the bank can be presented as follows;

a = 45 + 75·t - 4·t²

Where;

a = The value of the investment in thousand of dollars after t months

t = The number of months of the investment

(i) The initial amount David invested can be found by plugging in t = 0, in the function for the amount David invested in the bank, as follows;

a = 45 + 75 × 0 - 4 × 0² = 45

The initial amount David invested is; a = $45,000

(ii) The number of months it takes for David investment to reach a maximum value can be found from the quadratic function as follows;

The number of months t(max) at the maximum amount is; t(max) = -75/(2 × (-4)) = 9.375

Therefore, it will take 9.375 months for David's investment to reach a maximum value

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Answer:

Pull terms out from under the radical, assuming positive real numbers.

0

Step-by-step explanation:

Answer: 600

Step-by-step explanation: i took test and got it right

Answer: 600

Step-by-step explanation:

Answer:

1.

Clean machine slope: 3/2

Sudz slope: 3/2

This means they rise and run at the same rate.

2.

y intercept of clean machine: 2

y intercept of sudz: 4

this tells us that the cost for sudz is higher per pound.

3.

Clean machine because 4 pounds at sudz costs 10 dollars, while 5.5 pounds at clean machine costs 10 dollars. You get more for less at clean machine.

4.

a. plot these points

Brand A: (0,100) (1,150)

Brand B: (0,200) (1,225)

b. Brand B cuz 25 is lower than 50

The regular admission price for one adult is $17.50.

We have,

Let's first determine the total cost of admission after the coupons have been applied.

Since each person has a coupon for $5 off, the total discount for the group is $5 x 6 = $30.

The total cost of admission after the discount.

$105 - $30

= $75.

Let A be the regular admission price.

Since each person paid the same price after the discount, we can set up the following equation:

6(A - $5) = $75

We subtract $5 from the regular price A because that is the amount of the coupon discount.

We can simplify the equation as follows:

6A - $30 = $75

6A = $105

A = $17.50

Therefore,

The regular admission price for one adult is $17.50.

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Answer:

Pentagon a = 4.9 in. s = 7.1 in. /l ;/ >cvr'-. ~ j-?.1· '19~~. 5) Octagon a = 20.8 m s= 17.2m. ,4 ~;.>a-rt. ::: i, 17. z • t~f "g. ~ :::::, l'/?1 ,0 nt z, ... What is the length of the apothem to the nearest whole number

Step-by-step explanation:

Pentagon a = 4.9 in. s = 7.1 in. /l ;/ >cvr'-. ~ j-?.1· '19~~. 5) Octagon a = 20.8 m s= 17.2m. ,4 ~;.>a-rt. ::: i, 17. z • t~f "g. ~ :::::, l'/?1 ,0 nt z, ... What is the length of the apothem to the nearest whole number

The value of x in chords is 25.857 and this is a isosceles triangle.

In geometry, a chord is a line segment that connects two points on the circumference of a circle. A chord is the longest distance between two points on a circle, and it passes through the center of the circle. The endpoints of a chord are referred to as its "endpoints." A chord that passes through the center of a circle is called the "diameter" of the circle. The length of a chord can be calculated using the Pythagorean theorem, given the radius and the distance between the center and the chord. Chords are used in various geometric calculations involving circles, such as finding the area of a sector or segment of a circle.

The sum of the angles of a triangle is 180 degrees. In a circle, the angle subtended by an arc at the center of the circle is twice the angle subtended by the same arc at any point on the circumference. Using these facts, we can set up the following equation to find x:

(1/2)(14x - 7) + (1/2)(12x + 4) + (1/2)(4x) = 180

Simplifying and solving for x, we get:

7x - 1 = 180

7x = 181

x = 25.857

Therefore, x is approximately equal to 25.857.

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Answer:

14.85

Step-by-step explanation:

Answer:

The correct answer is 2

Step-by-step explanation:

I already did this assignment. Its the upper quartile minus the lower quartile so it literally cannot be 14.85.

Answer:

y = - 10

Explanation:

Solve for y by simplifying both sides of the equation, then isolating the variable.

Answer:

Step-by-step explanation:

Typically yes you need to know

Mean

Median

Mode

and Range

Mean = average, add all numbers then divide by how many

Median = midpoint, middle number.  Be sure to list numbers from small to large if there are 2 middle numbers (this happens when there are an even amount), take the average of the 2 middle numbers

Mode = numbers that occurs the most in the list of numbers

Range = This is the largest number minus the smallest number.  

Answer:

2

Step-by-step explanation:

the line meets the y axis at (0,2)

Answer:

you need this ?

the y is

y=-x+2

not to buy all of them they can by 55 boxs

Answer:

D

Step-by-step explanation:

6-8:35

8-10:25

35+25=60

The correct answer is D.

Answer:

[7-2x+5y-(x-y) -[5x+3y-7]

= 7-2x+5y-x+y-5x-3y+7

=7+7-2x-x-5x+5y+y-3y

=14-8x+3y

=-8x+3y+14

Step-by-step explanation:

Answer:

The answer is 14!

Step-by-step explanation:

The measure of E'F' is:

44

Given:

EF is dilated by a scale factor of 4 to form E'F'.

EF measures 11.

we are asked to determine the measure of E'F' = ?

Since, the given question is incomplete but to solve these kind of questions,

Use the formula of the scale factor,

Scale factor = Length of one dimension of the dilated image/Length of one dimension of the pre-image.

From the question E'F' is the image formed by the dilation of preimage EF.

Therefore, 4 = E'F'/EF

E'F' = 4EF

E'F' = 4(11)

E'F' = 44

By substituting the value of EF given in the question we can evaluate the measure of side E'F;.

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Answer:

y = -2x + 21

Step-by-step explanation:

use point intercept form: y = mx + b where m is the slope and b is the y intercept

to find the y intercept, b, plug in values into equation and solve for b

11 = (-2) (5) + b

b = 21

then plug into the equation the slope and intercept!

Answer:

hope this helps !

your answer should be FG-220.2 feet

Step-by-step explanation:

The base of the triangle is FH

The perpendicular of the triangle GH=57 feet

The hypotenuse of the triangle is FG

We know that

sin∠F=Perpendicular/Hypotenuse

Hypotenuse= Perpendicular/sin∠F

Hypotenuse= 57/sin∠15

Hypotenuse=220.23109

Round of to nearest tenth

Hypotenuse=220.2 feet

The macrostate s of two six-sided dice can be defined as the sum of the top faces of the dice.

The macrostate of a system refers to a comprehensive description of the system in terms of its properties and variables that are used to characterize it. In the case of two six-sided dice, the macrostate is described by the sum of the numbers on the top faces of the two dice, which determines the total score or outcome. This macrostate, represented by the variable "s", is a measurable quantity that summarizes the state of the system, providing information about the distribution of the outcomes over all possible configurations of the two dice.

It's important to note that a macrostate does not specify the exact configuration of the system, but rather provides a probabilistic description of it. In other words, the macrostate "s" only describes the sum of the two dice and does not specify which number is on each die. In thermodynamics, macrostates are used to characterize the thermodynamic properties of a system, such as its temperature, pressure, and entropy. The study of macrostates and their distributions helps us to understand the behavior of complex systems and make predictions about their future behavior.

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Answer:

10,-4

Step-by-step explanation:

not sure where the options are but if you were to solve this equation first bring everything to one side.

x^2 - 6x - 40 = 0

factor it

(x-10)(x+4) = 0

set each part to 0

x-10 = 0 and x+4 = 0

solutions are 10 and -4

A) Rounding up 37412 to  3 Significant figures gives; 37400

B)  Rounding up 84563 to  3 Significant figures gives; 84600

C) Rounding up 261.42 to  3 Significant figures gives; 261.00

D) Rounding up 0.3684 to  3 Significant figures gives; 0.368

E) Rounding up 0.002615 to  3 Significant figures gives; 0.00262

F) Rounding up 0.0025713 to  3 Significant figures gives; 0.00257

3 Significant figures simply means 3 number of non-zero positive integers or whole numbers/ Thus;

A) Rounding up 37412 to  3 Significant figures gives; 37400

B)  Rounding up 84563 to  3 Significant figures gives; 84600

C) Rounding up 261.42 to  3 Significant figures gives; 261.00

D) Rounding up 0.3684 to  3 Significant figures gives; 0.368

E) Rounding up 0.002615 to  3 Significant figures gives; 0.00262

F) Rounding up 0.0025713 to  3 Significant figures gives; 0.00257

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Answer:

A+S=22

A=S/2+4

Multiply second equation by 2 and rearrange.

2A-S=8

Add equations 1 and 3.

3A=30

A=10

Substitute for A in either of the first 2 equations to get

S=12

Step-by-step explanation:

Answer:

13

Step-by-step explanation:

Using proportions, it is found that the equivalent cost in U.S. dollars per gallon would be of 5.11.

In September 2016, the cost of gasoline in Berlin was around 1.21 euros per liter. Hence, per gallon, that is, per 3.785 liters, we use a rule of three to find the cost.

1.21 euros - 1 liter

x euros - 3.785 liters

Applying cross multiplication:

\(x = 1.21(3.785) = 4.57985\)

Cost of 4.57986 euros per gallon. Since 1 U.S dollar is equivalent to approximately 0.896 euros, we have that:

1 dollar - 0.896 euros

x dollars - 4.57986 euros

Applying cross multiplication again:

\(0.896x = 4.57986\)

\(x = \frac{4.57986}{0.896}\)

\(x = 5.11\)

The equivalent cost in U.S. dollars per gallon would be of 5.11.

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Penny needs to leave her money in the account for approximately 9.615 years to earn K500,000 in Interest.

To determine how long Penny needs to leave her money in the account to earn K500,000 in interest, we can use the formula for simple interest:

I = P * r * t

where:

I is the interest earned,

P is the principal amount (initial investment),

r is the interest rate per period, and

t is the time in years.

In this case, Penny's principal amount is K800,000 and the interest rate is 6.5% per year (or 0.065 as a decimal). We need to find the time, t.

Since Penny wants to earn K500,000 in interest, we can rewrite the formula as:

K500,000 = K800,000 * 0.065 * t

Simplifying the equation:

0.065t = K500,000 / K800,000

0.065t = 0.625

Now, we can solve for t by dividing both sides of the equation by 0.065:

t = 0.625 / 0.065

t ≈ 9.615

Therefore, Penny needs to leave her money in the account for approximately 9.615 years to earn K500,000 in interest.

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Answer:

The required Probability =0.433

Step-by-step explanation:

number of residents who has master degree =2078

number of residents who has master degree and age group 30-49years= 455+ 445=900

900/2078

=450/1039

=0.43310

The values of x is 6 and y is (-6).

An assignment of values to the unknown variables that establishes the equality in the equation is referred to as a solution. To put it another way, a solution is a value or set of values (one for each unknown) that, when used to replace the unknowns, cause the equation to equal itself.

Given:

-4x-5y=6............(1)

9x+7y=12..................(2)

Solving Equation (1) and (2) we get

-36 x  - 45y = 54

36x + 28y = 48

____________

         -17y= 102

              y= -6.

and, -4x -5y= 6

-4x - 5(-6) = 6

-4x + 30 = 6

-4x = 6-30

-4x = -24

x= 6

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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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