A castle built for the man who founded the town of Redstone, CO, can now be yours, for $19.75 million. (Sherman, T.)

A coal magnate, John Cleveland Osgood, built the castle for his wife near the town of Redstone, which was founded as a company town for people working in the coal mining industry. Construction began in 1897 and was completed in 1902. (Sherman, T.)

In the early 1900s, John Cleveland Osgood was known as the King of Coal in the West. He was sixth richest of the Robber Barons, a group of elite industrialists. As a social and industrial experiment, Osgood decided he wanted to build a town in the Colorado mountains that would provide better living conditions for the miners working nearby. Instead of the tents and tiny cabins common in mining towns, Osgood built Swiss-style cottages – with electricity and running water - along the river. He also built a clubhouse with a theater, school, library, lodge, community garden and stables. (Kesting, A.).

Known as Redstone Castle and as the "Ruby of the Rockies," the 42-room castle has almost 30,000 square feet of interior space. It also has over 150 acres of land, surrounded by beautiful scenery along the Crystal River. (Sherman, T.)

It's not the first time the castle has been up for sale in recent years. Steve and April Carver purchased it at an auction for $2.2 million in 2016. (Oravetz, J.)

The Carvers worked to renovate and restore the castle and have operated it as a hotel since 2018. (Oravetz, J.)
1. Calculate the annual compound growth rate of the Redstone Castle price since the house was purchased by Steve and April Carver (in 2016) until it was listed for sale in 2020. (The growth rate should be calculated to two decimals in percentage form. Round the number of years to the whole number). Please show your work.
2. Assume that the average compound growth rate prevailed since John Cleveland Osgood built the Castle in 1902 until 2016 was 5.52% per year compounded annually. Calculate the price of the house in 1902. (Round the number of years to the whole number). (TIP: To get the answer correctly you need to use the price of the house in your calculations in dollars with all zeros). Please show your work.
3. You were using the time value of money concept to answer question #2. Think about the timeline for that problem. What year is considered as the time point 0 in that problem? Please explain your answer
4. Assume that the average compound growth rate you were using in the question #2 now is compounded daily. Calculate the price of the house in 1902. Compare with your answer to the question #2. (Round the number of years to the whole number). (TIP: To get the answer correctly you need to use the price of the house in your calculations in dollars with all zeros). Please show your work.
5. Assume that the house was purchased for the price listed in 2020. A commercial bank loaned the buyer the whole price (zero down payment) for 30 years. The loan must be repaid in equal monthly payments at the end of the month. The annual interest rate on the loan is 3.45% of the unpaid balance. What is the amount of the monthly payments? Please show your work.

The annual compound growth rate of the Redstone Castle price is 73.10%.

From the information given, the formula to calculate the annual compound growth rate will be:

g = (F/P)^(1/n) - 1

where g = growth rate

f = final value = 19750000

p = initial value = 2200000

n = period = 2020 - 2016 = 4

g = (F/P)^(1/n) - 1

g = (19750000/2200000)^(1/4) - 1

g = 73.10%

Therefore, the growth rate is 73.10%

The price of the house in 1902 will be calculated thus:

PV = F/(1 + g)^n

= 19750000/(1 + 73.10%)^4

= $4811

The year that is considered as the time point 0 in that problem is 1902.

When the average compound growth rate in the question #2 now is compounded daily, the price of the house in 1902 will be $4071. The difference in values will be:

= $4811 - $4071

= $740

Learn more about growth rate on:

https://brainly.com/question/5053605

#SPJ1

URGENT PLEASE HELP!!
Write the equation of the given line in slope-intercept form:

Sheriff Aniskin receives confidential information: the thief with the stolen accordion
has been traveling on a raft for 2 hour 40 minutes from Village Ivanovo toward
Village Sosnovka. Aniskin immediately leaves Sosnovka in a motorboat and travels
upstream toward the raft. Aniskin catches the thief 27 km from Sosnovka. Find the
speed of the raft if the speed of the motorboat in still water is 12 km/h and the
distance from Ivanovo to Sosnovka is 44 km.

Is y=cos(x)/x an odd function, even function, or neither

A business serves 24 customers with 64 staff to maintain a strong ratio of staff to guests. How many staff members would be
needed if 229 customers are expected? Calculate to the nearest whole number.
Do not put units, only put the number value for your answer.

Y=x^2 – 4x + 5 vertex form please

Find the center of the circle whose equation is (x - 5) 2 + (y + 3) 2 = 6.

A square has an area of 121 square centimetres.
What is its perimeter?

A group of 18 students began raising money for a new community park. If each student reaches the goal of $980, how much will the
group raise toward the park project?
A $17,670
B $17.640
C $17,630 D$17,740

PLEASE I BEG OF YOU HELP ME

Which one geos first to last 3/4 or 1/3 or 5/8

Find the volume of the rectangular prism pictured below if LM = 25 in, LO = 28 in, and
PR = 9 in, and OR = 3 in.
P
R
M
62 in
6300 in?
248 in
3
o 2354 in
3

House numbers along a street consist of two-digit numbers. Each house number is made up of non-zero digits, and no digit in a house number is repeated. Event A is defined as choosing 8 as the first digit, and event B is defined as choosing a number less than 6 as the second digit. If a house number along this street is picked at random, with each number being equally likely and no repeated digits in a number, what is P(A and B) expressed in the simplest form? A. 1/9 B. 5/72 C. 5/8 D. 2/3

can someone help me? no fake answers my other questions are also worth 50 points each btw

PLS HELP QUICKLY

Data was collected at a pool. It showed that being older does not imply that a swimmer will stay for a shorter or longer amount of time. What is likely true?


There is no correlation between age and length of stay.

There is a correlation between age and length of stay. There may or may not be causation. Further studies would have to be done to determine this.

There is a correlation between age and length of stay. However, there is no causation. This is because there is likely an increase in the length of stay with a decrease in age.

Please help me. I need to find the limit. I WILL give you BRAINLIEST!

what is the name of the first female mathematician?​

please help please please help

equation for parallel and perpendicular

GIVING BRAINLIEST
Select the correct answer. Each of the four angles of a quadrilateral measures 90°. How many rectangles can you construct using this condition?
A. 0
B. 1
C. 2
D. 4
E. infinitely many

help me pleaseeeeeeeeeeeeeeeeeeeeeee

Rewrite this question to make it a statistical question:
How old am I?

Paula is wallpapering a wall in her house. The wall is 14 ft x 8 ft with a
doorway that is 3 ft x 6 ft and a window that is 4 ft x 4 ft. How much
area does Paula need to wallpaper?

As an event organizer, you are to host 120guests in a room of dimensions 18m long and 12m wide. You have rectangular tables which are 2m long and 0.75m wide. The number of guests allocated for the top table is 12 and the rest of the guests are on 3springs. NB: cover space is 0.6m i) Sketch the table plan arrangement. ii) Calculate the number of tables required for the top table. iii) Calculate the number of covers on each spring. iv) calculate the number of tables required for each spring. v) What is the purpose of leaving a gangway when arranging tables and chairs for an event?

Select all the correct measures of center and variation for the following data set.

10, 20, 31, 17, 18, 5, 22, 25, 14, 43



First quartile = 12



IQR = 11



Median = 19



Third quartile = 25



MAD = 7

Please help, image below. Thank you!

Please help with does 3 questions am trying to get my grade up

NEED TO KNOW HOW TO GET ASNWER
The prep cook needs to make 115 sandwiches. Each sandwich contains 3 ounces of chicken salad. The chicken salad comes in a 32-ounce container. How many containers need to be purchased?

Find the area of the figure below by first finding the areas of the rectangle and triangles.
Area of the rectangle:

Area of the triangle on the left:
Area of the triangle on the right:
Area of the figure:

PLS HELPPPPPP!!!!!!
The functions graphed shows the distances, in miles, for two drivers x hours after driving.

Select ALL correct statements about the graph.

Question 5 options:

The intersection (1, 60) indicates the time in hours when Celia and Tayvin are traveling at the same speed.


Celia drove at a faster rate than Tayvin.


Tayvin drove at a faster rate than Celia.


The intersection (1, 60) indicates the time in hours when Celia and Tayvin are the same distance from the city.

What is the next step?