Weekly Reflection 8/31

EXPONENTIAL WORD PROBLEMS

Objective: Use and understand compound interest formulas to solve word problems.

Example: Suppose $5000 is put into an account that pays 4% compounded continuously. How much will be in the account after 3 years?

Because the number of interest periods is not provided, and it is continuously, we have to use the A=pe^(rt) formula. so it would be a=5000e^(.04*3) When solved, A= $5637.48 


ANALYSIS

Misconception: At first I thought you had to use the same formula for every problem, however when it says continuously compounded, you have to use A=pe^(rt)

I overcame this misconception when I realized this would not work, so I then asked my peers how to do this, and they explained.

Essential Question 1: How much will your dream car be worth in five years with continuously compounded interest? Give an example. 

For my example I will be using the Bugatti Chiron (worth 2.9 million) with a 4% interest. 

A=2900000e^(.04*5)
Which means my car will be worth $3,542,068.



Comments

Post a Comment

Popular posts from this blog

Weekly Reflection 9/28

Angles and Their Measure Objective: Students will be able to find co terminal and reference angles. Students will also be able to find the arc length and area of a sector. Example: Find a co terminal and the reference angle of 400 degrees. In order to find a co terminal angle, you must simply add or subtract 360 degrees from the original degree number. In this case it could be: 40°, 760°, -320°... and so on.  To find the reference angle, you must subtract from 180, 360 or the opposite depending on the quadrant in order to get the angle between 0 degrees and 90 degrees. However, you must first find a co terminal angle that's between 0 and 360 degrees in order for it to be in a quadrant. in this case subtracting 360 from 400 gives me 40 degrees, and I already have my reference angle.  Analysis My misconception was that the reference angle was always a co terminal angle I overcame this misconception by doing my own research and studying at...
Read more

Weekly Reflection 11/23

Image
Arithmetic and Geometric Sequence and Series Objective: I will be able to evaluate arithmetic and geometric sequences and series. Analysis My misconception was that a common difference was for geometric and arithmetic. While using the formulas I realized that ratio was for geometric. Essential Question:  How do I find a given term in an arithmetic or geometric sequence?  How do I find the sum of an arithmetic or geometric series?   By using the formulas provided on your formula sheet. 
Read more

Weekly Reflection 11/30

Image
Recursive, Explicit and Sigma Notation  Objective: I will be able to understand recursive and explicit forms. Students will also be able to use sigma notation for series. In example one, the sequence diverges because the ratio is greater than one. You can determine the ratio by putting the the 2nd over the 1st. Analysis My misconception was that if the the ratio is greater than one it conerges, but its really the oppostie.  Essential Question: How do you determine whether a sequence diverges or converges? You can determine by looking at the ratio. If the ratio is greater than one it diverges, and if the ratio is less than one it converges.
Read more