A large apartment complex has 1,500 units, which are filling up at a rate of 10% per month. If the apartment complex starts with 15 occupied units, how many months will pass before the complex has 800 occupied units? (Assume logistic growth). Round to the nearest tenth.

Answers

Answer 1

The number of months before the complex would have 800 occupied units is 40 months.

How many months before the complex has 800 occupied units?

The formula that can be used to determine the required value is:

(In FV / PV) / r

Where:

FV = 800 PV = present occupancy rate = 15 r = rate of filling up = 10%

(In 800 / 15) / 0.1 = 40 months

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Answer 2

Answer: 47.3 months

Step-by-step explanation:


Related Questions

Hey can I have help with this question. An explanation would be great as I find things difficult to understand :)

Answers

Answer:

[tex](0, -\frac{15}{2} )[/tex]

Step-by-step explanation:

When a straight line crosses the y-axis, the point that touches it is called the y-intercept. We can find the y-intercept by plugging in zero as the value for 'x', as any x value on the y-axis is zero. So plugging in x = 0 into the equation '3x - 2y = 15', we get -2y = 15, so y = -15/2. The point would be [tex](0, -\frac{15}{2} )[/tex], as x = 0 when y = -15/2.

7. Solve the inequality. c – 12 > –1 c < –13 c > 11 c > –13 c > 13

Answers

[Learning] How to solve a one-variable-inequality?

To solve a one-variable-inequality, isolate the variable on one side of the inequality. This can be done by using the four mathematical operations.

What is the four mathematical operations?

The four mathematical operations include the following:

AdditionSubtractionMultiplicationDivision

These operations can be used to solve equations, inequalities, and more.

[Solving] Simplifying the inequality:

Given inequality:

c – 12 > –1

As stated in the previous section, let's isolate the variable (c) using the four mathematical operations. Clearly, we have to add both sides by 12 of the inequality as "c" is being subtracted by 12. Therefore, we get:

⇒ c – 12 + 12 > –1 + 12⇒ c > –1 + 12

Simplify the right-hand-side to obtain the simplified inequality:

⇒ c > 11

Therefore, option B is the correct/best choice.

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What similarities exist between the operations on polynomials and the operations on functions?

Answers

A function assigns the value of each element of one set to the other specific element of another set.

What is a Function?

A function assigns the value of each element of one set to the other specific element of another set.

What are polynomials?

Polynomial is an expression that consists of indeterminates(variable) and coefficient, it involves mathematical operations such as addition, subtraction, multiplication, etc, and non-negative integer exponentials.

In keeping with the remarks, the simple answer is that all polynomials are functions, but not all functions are polynomials. A function is essentially a rule that allocates a codomain value to every domain value.

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write √a^8a^3 as an algebraic expression using a rational exponent

Answers

Answer:

A

Step-by-step explanation:

I assume that the whole expression a⁸a³ is under the square root.

then remember 2 things :

1. when multiplying the same base variable (or constant) the result is that single base variable (or constant) to the power of the sum of the exponents.

e.g. x³x² = x⁵ because

x×x×x × x×x = x×x×x×x×x = x⁵

2. a square root as exponent is 1/2.

a cubic root is 1/3 and so on.

therefore

sqrt(a⁸a³) = sqrt(a¹¹) = a^11/2

A robot moves at a constant speed. The distance it moves and the time it spends moving are shown in this table:



10min 7km

15min 10.5km

20min 14km

Write an equation to describe the relationship between t, the time, and d, the distance.

Answers

The equation to describe the relationship between t, the time, and d, the distance is t = 1.43d

What is a proportional relationship?

It is defined as the relationship between two variables when the first variable increases, the second variable also increases according to the constant factor.

As we know,

time(t) = speed(s)×distance(d)

Speed is constant:

t ∝ d

t = kd

k = t/d = 10/7 = 15/10.5 = 20/14 = 1.428 ≈ 1.43

The equation is:

t = 1.43d

Thus, the equation to describe the relationship between t, the time, and d, the distance is t = 1.43d

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Answer:

d=0.7t

Step-by-step explanation:

the other dude is wrong

Which of the following equations demonstrate the multiplication property of equality for the equation x = 2? Check all
that apply.
✔x(3) = 2(4)
x(5) = 10
x(1.5) = 2(2)
x(0.5) = 2(0.5)
x(12) = 12
Intro
Done
3 of 12

Answers

Answer: x(5) = 10 has the multiplication property.

Step-by-step explanation:

To verify the multiplication property of equality , We need to put  the value of x= 2

1.  x(5) = 10

Solution = 2(5) = 10     ✔

2.  x(1.5) = 2(2)

Solution = 2 (1.5) = 3    X

3.  x(0.5) = 2(0.5)

Solution = 2 (0.5) = 1    X

4.  x(12) = 12

Solution = 2 (12) = 24    X

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Answer:

Step-by-step explanation:

answer B and D

I got it right and didnt spell the entire constitution

help i need for tomorrow

Answers

Answer:

The three bags for 92.50 pounds (offer B)

Step-by-step explanation:

Offer A:

[tex] \frac{35}{2 \times 25} = \frac{35}{50} = .7[/tex]

Offer B:

[tex] \frac{92.50}{3 \times 50} = \frac{92.50}{150} = .617[/tex]

Offer B has the lower unit price.

(X-3)2 -0
Ajuda, alguém ajuda?

Answers

Answer:

(X- 3)² - 0

(X - 3 )( X - 3 )

x² + 9 - 6x

x² - 6x + 9

a = 1

b = -6

c = 9

Four parallel lines are drawn in a rectangular sign. The sign is painted using two colors in an alternating pattern, as shown.

A rectangle is shown. 4 parallel lines are drawn diagonally from one side of the rectangle to the opposite side. The shapes formed by the parallel lines are colored in an alternating pattern.

Which statements must be true about the two congruent, shaded figures? Select two options.

The figures are rectangles because they are formed inside a rectangle.
The figures are rhombi because they are formed by four congruent line segments.
The figures are trapezoids because each has exactly one pair of parallel sides.
The figures are parallelograms because their opposite sides are parallel.
The figures are quadrilaterals because each has four sides.

Answers

Answer:

D & E

Step-by-step explanation:

The figures are parallelograms because their opposite sides are parallel

The figures are quadrilaterals because each had four sides

The two statements that must be true about the two congruent, shaded figures are:

The figures are parallelograms because their opposite sides are parallel.

The figures are rhombi because they are formed by four congruent line segments.

What is parallelogram?

A special form of quadrilateral called a parallelogram has both pairs of its opposite sides parallel and equal.

The fact that the figures are formed inside a rectangle does not necessarily mean that they are rectangles themselves.

Similarly, the fact that each figure has one pair of parallel sides does not necessarily make them trapezoids, as trapezoids have only one pair of parallel sides.

Finally, the fact that each figure has four sides does not necessarily make them quadrilaterals, as any closed shape with four sides can be considered a quadrilateral.

The two statements that must be true about the two congruent, shaded figures are:

The figures are parallelograms because their opposite sides are parallel.

The figures are rhombi because they are formed by four congruent line segments.

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Sal's Sandwich Shop sells wraps and
sandwiches as part of its lunch specials. The
profit on every sandwich is $2 and the profit on
every wrap is $3. Sal made a profit of $1,470
from lunch specials last month. The equation
2x + 3y = 1,470 represents Sal's profits last
month, where x is the number of sandwich
lunch specials sold and y is the number of wrap
lunch specials sold.

Graph the function. On the graph, make sure to label the intercepts. You may graph your equation by hand on a piece of paper and scan your work or you may use graphing technology.

Answers

Answer:

it will be something like that

Step-by-step explanation:

u should modify the equation to be

y = (1470-2x)/3

Question 8(Multiple Choice Worth 1 points)
(07.05 MC)
Use the key features of the polynomial f(x) = 2x³ + 5x² - 2x - 3 to describe its end behavior.
O The left side continues down, and the right side continues up.
O The left side continues down, and the right side continues down.
O The left side continues up, and the right side continues down.
O The left side continues up, and the right side continues up.

Answers

The key feature is that; The left side continues down, and the right side continues up.

How to describe the behavior of a Polynomial?

We are given the polynomial;

Polynomial function;

f(x) = 2x³ + 5x² - 2x - 3

Leading coefficient = 2

Degree of the polynomial = 3

Since, degree of the polynomial given is odd and the leading coefficient is positive.

Therefore, left side of the graph will continue down and the right side continues up.

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Re-write the quadratic function below in Standard Form y = −(x−4) (x+3)

Answers

Answer:

y=-x²+8x+16

Step-by-step explanation:

y= -3(x – 4)(x – 4)

We multiply

y=(-3x+12)(x-4)

Expand the bracket

y= x(-3x+12) -4(-3x+12)

y=-3x²+12x

-4(-3x+12)

+12x+48

y=-3x²+24x+48

Divide by 3

y=-x²+8x+16

Please help with a good explanation

Answers

Set the equation as 2(2x+3)+2(x-5)=44 then solve for 44
So first distribute 4x+6+2x-10=44
Combine like terms: 6x-4=44
Add four to both sides 6x=48
Divide 6 x=8
The answer for x is 8

A 12 foot ladder leans against a wall so that the base of the ladder is 7 feet from the wall. How high up on the wall will the ladder reach? Round to the nearest hundredth of a foot.

Answers

Answer 9.75 ft
Reason
Using the Pythagorean theory,
a^2 + b^2 = c^2 (the hypotenuse)
Since we know the diagonal measurement (the hypotenuse) we will call c=12
We know one leg is 7, so we will call b=7
Now we will solve for “a”
Changing the equation to subtract
c^2 - b^2 = a^2
Substitute in our numbers
12^2 - 7^2 = a^2
144-49= a^2
95 = a^2
Take square root of both sides

9.746 = “a” the unknown length
Round to nearest hundredth
9.75

What is the equation of the line that passes through the point (6,-4) and has a slope
of-?

Answers

Answer:

y = -x + 2

Step-by-step explanation:

*Assuming the slope given is -1*

Applying point-slope formula :

y - (-4) = -1 (x - 6)y + 4 = -x + 6y = -x + 2

Omar is going to an amusement park. The price of admission into the park is $25, and once he is inside the park, he will have to pay $5 for every ride he rides on. How much money would Omar have to pay in total if he goes on 8 rides? How much would he have to pay if he goes on r rides?

Cost with 8 rides:
Cost with r rides:
Need answer quickly!

Answers

Cost with 8 rides: 65
Cost with r rides: 25+(r x 5)

The cost of 8 rides will be equal to $65 and the equation for the r rides will be equal to $25 + $5(r).  

What is an equation?

Mathematical expressions with two algebraic symbols on either side of the equal (=) sign are called equations.

This relationship is illustrated by the left and right expressions being equal to one another. The left-hand side equals the right-hand side is a basic, straightforward equation.

As per the given information in the question,

Price of admission into the park = $25

Price to pay for every ride in the park = $5

(a)

Then, the price to pay for 8 rides will be,

$25 + $5(8)

= $25 + $(40)

= $65

(b)

Then, the equation for the price to pay for r rides will be equal to,

$25 + $5(r)

Here, r is the number of rides.

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A principal of 2000 is invested at 3.25% interest, compounded annually. How much will the investment be worth after 10 years?

Answers

Answer:

$2,753.79

Step-by-step explanation:

Compound Interest Formula

[tex]\large \text{$ \sf A=P\left(1+\frac{r}{n}\right)^{nt} $}[/tex]

where:

A = final amountP = principal amountr = interest rate (in decimal form)n = number of times interest applied per time periodt = number of time periods elapsed

Given:

P = $2,000r = 3.25% = 0.0325n = 1t = 10

Substitute the given values into the formula and solve for A:

[tex]\implies \sf A=2000\left(1+\frac{0.0325}{1}\right)^{(1 \times 10)}[/tex]

[tex]\implies \sf A=2000(1.0325)^{10}[/tex]

[tex]\implies \sf A=2753.788608...[/tex]

Therefore, the value of the investment after 10 years will be $2,753.79 to the nearest cent.

The coordinates of the vertices of △HIJ are H(−2,2), I(8,−2), and J(−4,−3). Identify the perimeter of △HIJ to the nearest tenth

Answers

Answer:

  28.2

Step-by-step explanation:

The perimeter of a plane figure is the sum of the lengths of its sides. Those lengths and their sum can be found a number of different ways.

__

graphing aid

The values computed by the graphing program in the attachment add up to 28.2 units.

__

using algebra

The length of each side of the triangle can be computed using the distance formula or the Pythagorean theorem. For a given "rise" and "run", the length of a line segment is ...

  d = √(rise^2 +run^2)

  HI = √((-4)^2 +10^2) = √116 ≈ 10.770

  IJ = √(1^2 +12^2) = √145 ≈ 12.042

  JH = √(5^2 +2^2) = √29 ≈ 5.385

The perimeter is the total of the lengths of the sides:

  P = HI +IJ +JH = 10.770 +12.042 +5.385 = 28.197

To the nearest tenth, the perimeter is 28.2 units.

Evaluate f^3+11g-4hf
3
+11g−4hf, cubed, plus, 11, g, minus, 4, h when f=3f=3f, equals, 3, g=2g=2g, equals, 2 and h=7h=7h, equals, 7.

Answers

An expression is defined as a set of numbers, variables, and mathematical operations. The value of f³+11g-4h, when the value of f=3, g=2, and h=7 is 21.

The correct question is:

Evaluate the value of f³+11g-4h, where the value of f is 3, the value of g is 2 and the value of h is 7.

What is an Expression?

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

The value of f³+11g-4h, when the value of f=3, g=2, and h=7 is,

f³+11g-4h

= (3)³ + 11(2) - 4(7)

= 27 + 22 - 28

= 21

Hence, The value of f³+11g-4h, when the value of f=3, g=2, and h=7 is 21.

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Answer:

21

Step-by-step explanation:

whats is 452 divided by2

Answers

Answer:

452/2 = 226

Step-by-step explanation:

45 divided by 2 is 22 and the remainder would be 12, which could be divided by 2 again to get 6. Add this to the total and you get 226.

Hope this helps! :D

452 divided by 2 would equal 226 because it’s cutting 452 in half.

How do I graph the inequality?

Answers

Answer:

Graph it the same as = but if the inequality is < or >, graph the equation as a dotted line. If the inequality is ≤ or ≥, graph the equation as a solid line.

Find the area of the triangle, given that sin(C) = 1/2. Round the answer to the nearest whole number.
A. 26 square units
B. 75 square units
C. 150 square units
D. 299 square units

Answers

Answer: 75 square units

Given:

sin(C) = 1/2

Area of Triangle:

= 1/2 × a × b × sin(C)

= 1/2 × 13 × 23 × 1/2

= 74.75

≈ 75 square units

Sam and Joe are working to solve 6 divided 1/4 Sam thinks the answer is 24. Joe thinks the answer is . Explain who is correct. Use a model to help explain your thinking.

Answers

Answer:

Sam is correct

Step-by-step explanation:

6 divided by 1/4.

This is asking how many times can 1/4 go into 6?  This might be a calculation needed if Sam brought 6 pies to the party of 24 people.  How should Sam cut the pies so that each person gets an equal share, and there is none left over.  This is a serious issue because Sam only knows how to cut pies into quarters.  He always gets confused when having to split a pie into 5, 6, 7, 8 or even 9 equal pieces.  Sam decided that if he cuts the pies into quarters, that he'll have exactly 24 pieces of pie, all equal in size, and exactly enough to feed everyone.

Sam says 24 is wrong.  I don't see the figure that Sam has in mind, but it apparently is not 24.

When a pie is cut into quarters, it will serve 4 people.  If one has 6 pies, and everyone takes only one slice, then there would be 4 x 6 or 24 pieces of pie, exactly what is needed:  one for each person.

Round to the nearest tenth wa hit is the perimeter of the triangle

Answers

Answer:

D. 11.8 cm

Step-by-step explanation:

This triangle is a 30°-60°-90° triangle. There is a shortcut to find the lengths of the sides of a 30°-60°-90° triangle. The longest side is the hypotenuse. The longest side is double the shortest side or, the shortest side is half the longest side. Here the longest side is 5, so the short leg (shortest side) is 2.5

The other shortcut is that the longer leg is the

short leg×sqroot3

Here, the short leg is 2.5, so the long leg is 2.5×sqroot3

Perimeter is all the sides added together.

5 + 2.5+ 2.5×sqrt3

Do the times first.

5 + 2.5 + 4.3

= 11.8

can someone please help mee(20 points and i will give brainliest!!!)

Answers

Answer:

vertex: (3,1)

y-intercept = (0,-8)

x-intercept- Smaller=2 Larger=4

Domain= all real numbers, identity, infinite

Range= 1 is greater than or equal to y

axis of symmetry=3

Step-by-step explanation:

A regular polygon has 18 sides.
What is the size of each of its interior angles?
Give your answer in degrees (º).

Answers

Answer:

160 degrees.

Step-by-step explanation: The interior angle of a polygon formula. S=(n-2) x 180/n. The equation would look like p=(18-2) x 180/18=160.

The answer is(160) hope that helps

+
A week after the incident at school, Charlotte received an envelope in the mail from Lisa's
mother. The envelope contained two $20 bills, and a note saying that she was sorry that Lisa had
hurt Charlotte and to please take the money to buy a new pair of jeans. Charlotte's new jeans cost
$25.99. Does she have enough to also buy a hoodie sweatshirt that cost $12.99? How much will
her new outfit cost?
w 10 159
Math Level 6-Lesson 13

Answers

Answer:

outfit costs 81 dollars

Step-by-step explanation:

Answer: Yes, she received $40 and the total cost of the outfit would be $38.98.

Solve for x.
x2 + 2x + 1 = 0

Answers

Answer:

x = -1

Step-by-step explanation:

factor and you get

(x + 1)(x + 1) or (x + 1)^2

now set it equal to zero

x + 1 = 0

subtract one from both sides

x = -1

Given the graph of the function, f(x), what is the value of f (–2)?
f (–2) =

Answers

Using the graph of the function concept, the numeric value at x = 2 is f(-2) = 0.

How to find the numeric value of a function?

To find the numeric value of a function at x = a, we look at the value of y(vertical axis) where x = a has a closed interval.

Researching the problem on the internet, looking at it's graph, it is found that when x = -2, there is a closed interval at y = 0, hence f(-2) = 0.

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Answer:

0A: (-∞, ∞)B: (-2, ∞)

Step-by-step explanation:

A Baker Had 1/3 Cups Of Suger . he Added 1/9 Cups To It Find The Total Number Of Sugar . ( Can Someone Help Me Out)

Answers

The total number of sugar will be 9/4.

What is the unitary method?

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

A Baker Had 1/3 Cups Of Sugar.

he Added 1/9 Cups To It

Let the number of sugar be x

x (1/3)  + 1/9x = 1

3x + 1x = 9

4x = 9

x = 9/4

Hence, the total number of sugar will be 9/4.

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Other Questions
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