mccarthyrookie6491
26.11.2019 •
Mathematics
Acertain car depreciates such that its value at the end of each year is p % less than its value at the end of the previous year. if that car was worth a dollars on december 31, 2010 and was worth b dollars on december 31, 2011, what was the car worth on december 31, 2013 in terms of a and b ?
Solved
Show answers
More tips
- A Auto and Moto How to Deregister a Car in Moscow?...
- F Food and Cooking How to Cook Julienne? Recipes and Tips...
- D Dating, Love, Relationships 10 Useful Tips on How to Survive a Breakup?...
- F Food and Cooking Apple Cider Vinegar: The Ultimate Health and Beauty Solution...
- C Computers and Internet Е-head: How it Simplifies Life for Users?...
- F Family and Home How to Choose the Best Diapers for Your Baby?...
- F Family and Home Parquet or laminate, which is better?...
- L Leisure and Entertainment How to Properly Wind Fishing Line onto a Reel?...
- L Leisure and Entertainment How to Make a Paper Boat in Simple Steps...
- T Travel and tourism Maldives Adventures: What is the Best Season to Visit the Luxurious Beaches?...
Answers on questions: Mathematics
- M Mathematics Aveteran would like to upgrade the computer system for the office. the cost is 25,000 and the interest rate is 3.5% the amount of interest to be paid is 5250 how many months...
- M Mathematics Asap plz me.doyley can t explain it correctly...
- M Mathematics Based on the box-and-whisker plot shown below, match each term with the correct value....
- M Mathematics Explain and use the relationship between the sine and cosine of complementary angles....
- M Mathematics Which is closest to the total surface area of a cylinder with a radius of 5 inches and a height that is equal to its diameter?...
- M Mathematics Idon’t know what the formula is and how to work it out, ....
- M Mathematics Find the area of the outlined sector...
- M Mathematics Aline with a slope of 1/4 passes through the points (9, -8) and (5, d). what is the value for?...
- M Mathematics In february, alec had 1,525 visitors to his website. in march, he had 1,385 visitors to his website. what is the percentage decrease of the number of visitors to alec s website...
- M Mathematics Aline has a y-intercept of -5 and a slope of 10. what is its equation in slope-form? write your answer using integers, proper fractions, and improper fractions in simplest form...
Ответ:
b(b/a)^2
Step-by-step explanation:
Given that the value of the car depreciates such that its value at the end of each year is p % less than its value at the end of the previous year and that car was worth a dollars on December 31, 2010 and was worth b dollars on December 31, 2011, then
b = a - (p% × a) = a(1-p%)
b/a = 1 - p%
p% = 1 - b/a = (a-b)/a
Let the worth of the car on December 31, 2012 be c
then
c = b - (b × p%) = b(1-p%)
Let the worth of the car on December 31, 2013 be d
then
d = c - (c × p%)
d = c(1-p%)
d = b(1-p%)(1-p%)
d = b(1-p%)^2
d = b(1- (a-b)/a)^2
d = b((a-a+b)/a)^2
d = b(b/a)^2 = b^3/a^2
The car's worth on December 31, 2013 = b(b/a)^2 = b^3/a^2
Ответ:
Let y = water level, inches
Note that from 1:00 to 2:30, x = 2.5 - 1.0 = 1.5 hours.
The given data is
x: 0 1.5
y: 13 28.0
The change in x is 1.5 - 0 = 1.5 hours
he change in y is 28 - 13 = 15 inches
The rate of change is (15 inches)/(1.5 hours) = 10 inches/hour
10 inches per hour