![karlyisaunicorn](/avatars/21164.jpg)
karlyisaunicorn
28.09.2021 •
Mathematics
the average of 2 numbers is 40.The average of three other numbers is 25 Calculate the average of five numbers?
Solved
Show answers
More tips
- F Food and Cooking The Disease That Haunted Abraham Lincoln...
- P Philosophy What is Something for you?...
- S Style and Beauty Intimate Haircut: The Reasons, Popularity, and Risks...
- A Art and Culture When Will Eurovision 2011 Take Place?...
- S Style and Beauty How to Choose the Perfect Hair Straightener?...
- F Family and Home Why Having Pets at Home is Good for Your Health...
- H Health and Medicine How to perform artificial respiration?...
- H Health and Medicine 10 Tips for Avoiding Vitamin Deficiency...
- F Food and Cooking How to Properly Cook Buckwheat?...
- F Food and Cooking How Many Grams Are In a Tablespoon?...
Answers on questions: Mathematics
- M Mathematics Select the correct answer. Which value of x from the set {5, 6, 7, 8) makes this equation true? 3x = 24 A. 5 B. OC. OD 8 Reset...
- M Mathematics HELPP PLEASE! Find the sale price of the item. Round to two decimal places if necessary. Original price: $253.88 Markdown: 72%...
- M Mathematics I need this done asap. What is the surface area for this net of a rectangular prism? (Only type in the number) pls no wrong answer....
- M Mathematics HELP PLEASE LOOK AT PIC...
- M Mathematics Year x авч 15 о carvalue is good 13000 10000 9000 795.00 of Write an algebraic ecxpression to represent the functio...
- M Mathematics Help please. You don’t have to explain it...
- M Mathematics Find the value(s) of c guaranteed by the Mean Value Theorem on the interval [1,2]. f(x)= x²+3x+2...
- M Mathematics GIVING BRAINLIEST FOR RIGHT ANSWER 3...
- M Mathematics Which statement is true? A) A rectangle is always a parallelogram, but a parallelogram is not always a rectangle. B) A parallelogram is always a rectangle, but a rectangle...
- M Mathematics A circle has a diameter of 22 inches . What is the area , in square inches , of the circle...
Ответ:
A) both functions are linear
B) f(x) = 7446.4x + 178713.6 and f(x) = 11000x + 179000
C) House 2 will value $106894.4 more than house 1.
Step-by-step explanation:
A) Value Increase from year 1 to year 2:
House 1: 193,606.40 - 186,160 = 7446.4
House 2: 201,000 - 190,000 = 11000
Value Increase from year 2 to year 3:
House 1: 201,350.66 - 193,606.40 = 7744.26
House 2: 212,000 - 201,000 = 11000
This means that a constant increament in x variable gives a constant increament in both houses vales. Then, both functions are linear.
B) The slope is the same as the value increment from one year to the next one.
slope (m) of House 1: 7446.4
slope (m) of House 2: 11000
General formula of a line:
f(x) = mx+b
Replacing with a known point:
House 1
186,160 = 7446.4(1) + b
b = 186,160 - 7446.4 = 178713.6
equation: f(x) = 7446.4x + 178713.6
House 2
190,000 = 11000(1) + b
b = 190,000 - 11000 = 179000
equation: f(x) = 11000x + 179000
C) Replacing x = 30 into each equaiton:
Value of House 1 after 30 years
f(x) = 7446.4(30) + 178713.6 = 402105.6
Value of House 2 after 30 years
f(30) = 11000(30) + 179000 = 509000
Then, house 2 will value 509000 - 402105.6 = $106894.4 more than house 1.