RioQNA
08.11.2019 •
Mathematics
What is the missing reason in the two-column proof?
Solved
Show answers
More tips
- C Computers and Internet How to Create a VKontakte App: A Detailed Guide...
- L Leisure and Entertainment When will Maslenitsa start?...
- F Food and Cooking Discovering the Mysterious Fruit of Feijoa...
- B Business and Finance How to Open an Online Store? A Detailed Guide for Beginners...
- W Work and Career How to Write a Resume That Catches the Employer s Attention?...
- 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...
Answers on questions: Mathematics
- M Mathematics What should be the percentage gain on a product when it is sold for Rs.250 with a gain of Rs.50....
- M Mathematics Use the add-on method of calculating interest to find the total interest and the monthly payment of a $1000 loan for 21 months at 8.9%...
- M Mathematics The point-slope form of a line that has a slope of 3 and passes through point (6,0) is shown below. y-0= {(x=6) x What is the equation in slope-intercept form? tary Oy-3x-12 o...
- M Mathematics PLEASE HELP THIS WAS DUE WEEKS AGO PLEASEEEEEEEE im desperate please help (there are multiple parts which u can see in the collage i made) A media company wants to track the results...
- M Mathematics Write the equation of the linear relationship in slope-intercept from, using decimals as needed. x 25 35 45 55y 99.5 96.5 93.5 90.5...
- M Mathematics Alguien me puede ayudar en esta tarea por favor la necesito para mañana...
- M Mathematics I need help with the whole problem...
- M Mathematics 3. A paper company ships notepads in rectangular baxes that have dimensions measuring 9 inches long. 9 inches wide, and 10 inches tall. Show work. Complete sentences. V=LWH The...
- M Mathematics PLZ HELP ITS SUPER URGENT Find the length of X...
- M Mathematics Find x. Show work and express each lengh to the nearest tenth...
Ответ:
Part 1) John’s situation is modeled by a linear equation (see the explanation)
Part 2)
Part 3)
Part 4)
Part 5) Is a exponential growth function
Part 6)
Part 7)
Part 8)
Part 9) Is a exponential growth function
Part 10) or
Part 11)
Part 12)
Part 13) Natalie has the most money after 10 years
Part 14) Sally has the most money after 2 years
Step-by-step explanation:
Part 1) What type of equation models John’s situation?
Let
y ----> the total money saved in a jar
x ---> the time in months
The linear equation in slope intercept form
The slope is equal to
The y-intercept or initial value is
so
therefore
John’s situation is modeled by a linear equation
Part 2) Write the model equation for John’s situation
see part 1)
Part 3) How much money will John have after 10 years?
Remember that
1 year is equal to 12 months
so
For x=120 months
substitute in the linear equation
Part 4) How much money will John have after 2 years?
Remember that
1 year is equal to 12 months
so
For x=24 months
substitute in the linear equation
Part 5) What type of exponential model is Sally’s situation?
we know that
The compound interest formula is equal to
where
A is the Final Investment Value
P is the Principal amount of money to be invested
r is the rate of interest in decimal
t is Number of Time Periods
n is the number of times interest is compounded per year
in this problem we have
substitute in the formula above
therefore
Is a exponential growth function
Part 6) Write the model equation for Sally’s situation
see the Part 5)
Part 7) How much money will Sally have after 10 years?
For t=10 years
substitute the value of t in the exponential growth function
Part 8) How much money will Sally have after 2 years?
For t=2 years
substitute the value of t in the exponential growth function
Part 9) What type of exponential model is Natalie’s situation?
we know that
The formula to calculate continuously compounded interest is equal to
where
A is the Final Investment Value
P is the Principal amount of money to be invested
r is the rate of interest in decimal
t is Number of Time Periods
e is the mathematical constant number
we have
substitute in the formula above
Applying property of exponents
therefore
Is a exponential growth function
Part 10) Write the model equation for Natalie’s situation
or
see Part 9)
Part 11) How much money will Natalie have after 10 years?
For t=10 years
substitute
Part 12) How much money will Natalie have after 2 years?
For t=2 years
substitute
Part 13) Who will have the most money after 10 years?
Compare the final investment after 10 years of John, Sally, and Natalie
Natalie has the most money after 10 years
Part 14) Who will have the most money after 2 years?
Compare the final investment after 2 years of John, Sally, and Natalie
Sally has the most money after 2 years