John wants to rent some office space for 8 years. The lease states that the annual rent is $62,000 for the first year and will increase by 4% each additional year of the lease. What will the total rent be for the entire 8-year lease? Round your answer to the nearest hundredth.
Group of answer choices
$496,000.00
$84,851.28
$571,282.03
$515,840.00

Answers

Answer 1

Answer:

The correct answer is $515,840.00

Step-by-step explanation:

Answer 2

Answer:

The total rent for the entire 8-year lease to the nearest hundredth is $84,851.28.

Step-by-step explanation:

The increment is 4% each year.

What is increment?

Increment is the amount or degree by which something changes especially the amount of positive or negative change in the value of one or more of a set of variables.

What is lease?

A lease is a legal, binding contract outlining the terms under which one party agrees to rent property owned by another party.

What is hundredth?

In arithmetic, a hundredth is a single part of something that has been divided equally into a hundred parts.

We use the formula,

[tex]A=P(1+\frac{R}{100})^{n}[/tex]

[tex]=62000(1+\frac{4}{100}))^{8} \\=62000(\frac{104}{100})^{8}\\ =84851.28[/tex]

The total rent for the entire 8-year lease to the nearest hundredth is $84851.28.

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Related Questions

URGENT!!HURRY!!PLS!!

Answers

Answer:

Step-by-step explanation:

[tex]\sqrt{}[/tex]A ^ 2 + B ^2 = C ^2 for hypotenuse

20^2 + 5^2 = C

400+25 = 425

[tex]\sqrt{425}[/tex] = 20.61

20.61 is hypotenuse.

X = 180 - 20.61 = 159.39

Hope that helps

Triangle ABC is given.

What is the measure, in degrees, of ∠A?

Answers

Answer:

Angle A = 56° check the attachment for detailed solution

Las longitudes de dos lados de un octágono regular están representadas por las expresiones 2x + 4 y 3x-8. Encuentra la longitud de un lado del octágono

Answers

Answer:

La longitud del lado del octágono es de 28 unidades.

Step-by-step explanation:

Si las longitudes de los dos lados pertenecen a un octágono regular, entonces se satisface la siguiente condición:

[tex]2\cdot x + 4 = 3\cdot x - 8[/tex] (1)

A continuación, despejamos [tex]x[/tex] en (1):

[tex]3\cdot x - 2\cdot x = 4 + 8[/tex]

[tex]x = 12[/tex]

Ahora, determinamos la longitud del lado del octágono: ([tex]x = 12[/tex])

[tex]l = 2\cdot x + 4[/tex]

[tex]l = 28[/tex]

La longitud del lado del octágono es de 28 unidades.

Fund the equation of the line that passes through the points (1,2) and (3,12).

Give your answer in the form
y=mx+c

Some use y=mx+b

Answers

Answer:

y=5x-3

Step-by-step explanation:

slope is 5, plug in (1,2) for x and y to find b

What is the area of this figure? Write your answer using decimals, if necessary.

Answers

Answer:

19 x 11 = 209

4 x 3 = 12

7 x 5 = 35

35 + 12 + 209 = 256

On Sarah's shelf are 6 mystery books,5 science books,4 history books, and 3 adventure books. What is the probability of NOT selecting a mystery book?

Answers

Answer:

Probability of Sarah NOT selecting a mystery book  = 0.67

Step-by-step explanation:

Probability helps to show how likely an event will occur;

The probability an event will not occur can be obtained by subtracting the probability that the event will occur from 1.

We can take this route to solve this problem

The probability of picking an option from a broad list of alternatives can be calculated using the formula:

Probability = number of expected outcomes/ total number of options

For our problem, there are only 6 mystery books on the shelf. Hence, the number of expected outcomes is = 6. Sarah cannot pick any more than 6 mystery books, and any mystery book she picks will be from that lot.

The total number of options refers to the total number of books available to pick from; whether mystery, science history, and adventure.

We can get this by adding 6 + 5 + 4 + 3 = 18

Probability of Sarah selecting a mystery book = 6/18

Probability of Sarah NOT selecting a mystery book = 1 - (6/18) = 0.67

Find the perimeter and total area of the composite shape shown below. All measurements are given in inches. Use pi=3.14 in any formulas used.

Answers

Answer:

Perimeter of the entire shape is 114.24

Step-by-step explanation:

Use pi x diameter of the semicircle divided by 2 + the diameter to find the perimeter of one semicircle. There are 4 semi circles so you multiply this by 4. Then you take the perimeter of the inside 8x4 = 32. Add them all together to get 114.24

Answer:

Perimeter of the entire shape is 114.24

Step-by-step explanation:

Use pi x diameter of the semicircle divided by 2 + the diameter to find the perimeter of one semicircle. There are 4 semi-circles so you multiply this by 4. Then you take the perimeter of the inside 8x4 = 32. Add them all together to get 114.24

Find the area of the circle. Use 3.14 for fi *
Diameter: 24 cm
Area:

Answers

Circle Area = pi × ( radius )^2

_________________________________

pi = 3.14

..&..

radius = diameter / 2 = 24 / 2 = 12

Thus :

Area = 3.14 × ( 12 )^2

Area = 3.14 × 144

Area = 452.16 cm^2

Answer:

Hey Love! Answer: 452.16

Step-by-step explanation:

When trying to determine area of a circle remember the formula is just pi multiplied by the radius squared

Thats just a fancy way of saying the radius x the radius x pi but REMEMBER since we dont have the radius in this problem we have to figure it out but remember that the radius is only half the diameter so our diameter is 24cm now lets divide that by 2 and we get 12cm now lets multiply that by itself so radius x radius which our radius is 12 so 12 x 12 = 144 now all we have to do is multiply that by pi so

3.14 × 144 = 452.16

HOPE THIS HELPS!

i need help asapppppppppppppp

Answers

It is the 3rd answer

Help please!

Jenna filled Asha's gym locker 3/4 full of sand. How much sand is in her gym locker?

(the volume of the gym locker is 8,640)

Answers

Answer: 2880

Step-by-step explanation:

How do u write any number to the zeroth power

Answers

Answer:

0 as an exponent would look something like 6^0 and anything to the power of 0 is always 1

In a class of 25 students, 16 have a brother and 10 have a sister. There are 6 students who have a brother and a sister. What is the probability that a student chosen randomly from the class has a sister?

Answers

2/5 will be the simplified answer to this question.

The probability that a student chosen randomly from the class has a sister, in a class of 25 students, is 2/5.

What is the addition rule of probability for two events?

For two events A and B, we have:

Probability that event A or B occurs = Probability that event A occurs + Probability that event B occurs - Probability that both the event A and B occur simultaneously.

This can be written symbolically as:

[tex]P(A \cup B) = P(A) + P(B) - P(A \cap B)[/tex]

For three events, A, B and C:

[tex]P(A \cup B \cup C) = P(A) + P(B) + P(C) - P(A\cap B) - P(A \cap C) - P(B \cap C) + P(A \cap B \cap C)[/tex]

In a class of 25 students, 16 have a brother and 10 have a sister. There are 6 students who have a brother and a sister.

Let A is event of a student having a brother and B is event of a student having a sister.

The probability of event A is,

[tex]P(A)=\dfrac{16}{25}[/tex]

The probability of event B is,

[tex]P(B)=\dfrac{10}{25}\\P(B)=\dfrac{2}{5}[/tex]

The probability of occurrence of both event A and B together,

[tex]P(A\cap B)=\dfrac{6}{25}[/tex]

Thus, the probability that a student chosen randomly from the class has a sister, in a class of 25 students, is 2/5.

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Number 6
Plsss help can use desmos calculator

Extra 100 points and brainliest

Answers

use symolab its super easy

Answer:

a=16n+27

Step-by-step explanation:

PLEASE HELP THIS IS MY EXAM! Point M is the midpoint of overline PQ. The coordinates of point M are (2, 4) . The coordinates of point Q are (12, 10) . What are the coordinates of point P?

Answers

Answer:The coordinates of point P are -8, -4.

Step-by-step explanation:

Answer:

The coordinate of P is -8, -4

Step-by-step explanation:

Find an equation of the line with a slope of −7 that passes through the point (−3,12).

Answers

Answer:

[tex]\boxed {\boxed {\sf y=-7x-9}}[/tex]

Step-by-step explanation:

Since we are given a point and the slope, we should use the point-slope  formula.

[tex]y-y_1=m(x-x_1)[/tex]

where (x₁, y₁) is the point the line passes through and m is the slope.

We know the line passes through the point (-3, 12) and the slope is -7. Therefore,

x₁= -3 y₁= 12 m= -7

Substitute the values into the formula.

[tex]y-12=-7(x--3)[/tex]

Remember that 2 back to back negative signs become a positive.

[tex]y-12=-7(x+3)[/tex]

Now we have to put the equation in slope-intercept form, or y=mx+b. Therefore, we need to isolate the variable y on one side of the equation.

First, distribute the -7. Multiply each term inside the parentheses by -7.

[tex]y-12=(-7*x)+ (-7*3) \\y-12= (-7x)+(-21) \\y-12= -7x-21[/tex]

12 is being subtracted from y. The inverse operation of subtraction is addition. Add 12 to both sides of the equation.

[tex]y-12+12=-7x-21+12\\y= -7x-21+12\\y=-7x-9[/tex]

The equation of the line is y=-7x-9

What is 2 units up and 0 to the right from (-4,2).

Answers

Answer:

Step-by-step explanation:

What is 2 units up and 0 to the right from (-4,2).

Answer:

(-4,4)

Step-by-step explanation:

Help plz is 1-8 right??!!!

Answers

Answer:

yes

Step-by-step explanation:

since its more than 90 dgree

Answer:

mhm!! ur right < 3

Step-by-step explanation:

Simplify: √54 + √486 + √24

Answers

Answer:

14√6.

Step-by-step explanation:

√54 = √9√6 = 3√6

√486 = √81 √6 = 9√6.

√24 = √4√6 = 2√6.

So √54 + √486 + √24

= 3√6 + 9√6 + 2√6

= 14√6.

What should you do first in solving this equation?
x2 + 6x - 13 = 3

Answers

Answer:

x = 2

Step-by-step explanation:

x2 + 6x - 13 = 3

first you add 13 to other side and get

x2 + 6x = 16

next you combine x's

8x = 16

then you divde the 8x by 16

and you get x = 2

Answer: Subtracting the 13 from both sides of the equation.

The radius of a circle is 7 cm . Find its circumference in terms of pi?

Answers

Question:-

The radius of a circle is 7 cm. Find its circumference in terms of π.

Solution:-

Radius (r) of a circle = 7 cm. (Given)

We know,

[tex] \dag [/tex] Circumference of a circle is 2πr.

So, its circumference is 2 × π × 7

Its circumference is 14π cm.

Its circumference in terms of π is 14π cm. [Answer]

Answer:

Radius (r) of a circle = 7 cm. (Given)

We know,

Circumference of a circle is 2πr.

So, its circumference is 2 × π × 7

Its circumference is 14π cm.

Its circumference in terms of π is 14π cm.

Which figure will result from this net?

Answers

Pentagonal prism.

The shape will have bases that are pentagons.

The rental car company had 14 sedans and 8 minivans available to rent. If the next customer picks a vehicle at random, what is the probability that a minivan is chosen?

Group of answer choices

12/23

8/23

4/11

14/22 i will give brianllents if its right

Answers

4/11 is correct

8/22 simplified if 4/11

Answer:

4/11 (I think I'm not sure. I'm sorry if I'm wrong)

Step-by-step explanation:

Determine if the following system onf equations has no solutions, infinite solutions, or one solution
-5x+2y=5
5x-2y=-5

Answers

Let’s make them both slope intercept equations (y = mx + b)
-5x + 2y = 5
2y = 5 + 5x
y = 5/2x + 5

5x - 2y = -5
5x = 2y - 5
2y = 5 + 5x
y = 5/2x + 5

Same results, therefore the equations are the same.

Solution: infinite solutions

Solve for X
A) 13
B) 5
C) 14
D) 1

Answers

Answer:

B) 5

Circle is 360 degr. So (21x+9) +(23x-5) +(26x+6)=360

Combine like terms 70x+10=360

Additive inverse -10 from both sides, 70x= 350

Divide both side by 70 division Property of Equality x=5.

Check your answer by substituting 5 back into original solution!

Step-by-step explanation:

what is 6/7 of2/3? pls help
\

Answers

Answer:

4/7

Step-by-step explanation:

6/7 ÷ 2/3 = 6/7 * 3/2 = 18/14 --->1 4/14 ---> 1 2/7

The graph shows the daily sales goal of
a coffee shop. If the employees sell
20 cups of coffee, how many cups of tea
must they sell to meet their goal?

Answers

Answer:

25 cups of tea

Step-by-step explanation:

On the x-axis, we have the number of cups of coffee plotted against the number of cups of tea which are plotted on the y-axis to represent the daily sales goals.

From the graph, when 20 cups of coffee are sold (x = 20), a corresponding sales of 25 cups of tea (y = 25) would be sold as well to meet the sales goal.

Therefore, when employees sell 20 cups of coffee, 25 cups of tea must be sold to meet their goal.

Calculate the curved surface area of a cylindrical container 10cm diameter, length 18cm take the value of pie to 3.14

Answers

Answer:

56.52 cm^2

Step-by-step explanation:

curved surface area = 2πrh

the diameter is the straight line that passes through the centre of a circle and touches the two edges of the circle.

A radius is half of the diameter

10 / 2 = 5

2 x 3.14 x5 x 18 = 56.52 cm^2

an energy drink company claims that it’s produced inscreases students memory levels. to support its claims, the company issues advertisements claiming that 8 out of 10 people (chosen randomly from across the country) who tried their product reported improved memory. the missing component in this study is a

Answers

Boba all the way, it is delicious and I can't live without it

What is the area in square centimeters of the trapezoid below​

Answers

Answer:

39.6 cm²

Step-by-step explanation:

The formula for the area of a trapezoid is given as:

Area of a Trapezoid = 1/2(a + b) h

Where, from the question:

a = 8.9 cm

b = 5.5 cm

h = 5.5cm

Hence,

1/2 (8.9cm + 5.5cm) × 5.5cm

= 1/2 × 14.4 cm × 5.5 cm

= 39.6 cm²

Area of the Trapezoid = 39.6 cm²

How do I find angle Y

Answers

See photo hope it helps
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