If you have a loan, you take the interest rate and multiply it by the loan price and that will give you the interest rate you have to pay plus the original amount of the loan. Subsidized and unsubsidized loans are federal student loans for eligible students to help cover the cost of higher education at a four-year college or university, community college, or trade, career, or technical school. A credit union is a not-for-profit cooperative financial institution that provides financial services for its members. A loan by a bank is to be repaid at a fixed future date with interest. Simple interest expense is calculated using the formula e = (principal)(rate)(time), where "e" is the interest expense, "p" is the principal amount, "r" represents the interest rate and ''t" is the time elapsed (in years). For example, an initial investment of $2,000 with 3% yearly interest over 5 years would yield $300 in interest expense (2000 × .03 × 5). In cases where the interest compounds more than once per year, the formula a = p(1 + r/n)nt is used, with "a" equal to the amount accumulated at the end of the period, "p" equal to the principal amount, "r" referring to the interest rate, "n" representing the number of times compounding annually, and "t" the number of years the amount is deposited or borrowed for. For example, $1,500.00 deposited into an account with an annual interest rate of 4.3%, compounded quarterly, grows to $1,938.84 after six years (1,500(1 + 0.043/4)4(6)).
To figure out how many folds of paper it takes to get to the moon you first need to know how far away the moon is from earth. Next you need to do guess and checks of two to the guess and check power. The moon is approximately less then 250,000 miles, so doing guess and check I got that it would take 45 folds of a piece of paper to get to the moon, that is two to the 45th power, which equals just about 250,000 miles. This is unrealistic because just about 10 folds of a piece of paper is impossible, so there is no possible way to fold a single piece of paper 250,000 miles in the air. The thickness is the same as the height which is 250,000 miles, whether this matters I don't think it matters, I think the height matters so It can reach the moon.
this is an example of a even function:this is an example of a odd function:Even and odd functions are both similar because they are both symmetric, just in different ways. For example even functions are symmetric across the Y axis, and odd functions are symmetric by its origin(folding over x axis, then y axis) or 180 degree rotations. They are different because obviously one is odd and one is even, but they are also have different patterns when looking at the table of values. Even table of values have two positive set of points, and for the same points its reflected and has a negative x value and the same y value. For example (1,1), when reflected its other set becomes (-1,1). To check if a function is even you have to verify that f(-x)=f(x), for odd functions you have to verify that f(-x)=-f(x). Yes there are functions that will always be even such as x^2, if you verify with the function that it is even then there will be no change to this, and its the same for odd functions. I think I have a pretty good grasp on this unit, but one question would be how do you tell or know if any families of functions are always even or always negative, that wasn't really made clear.
The graph above represents a function that is a exponential growth function. In the picture above I put a picture of the original graph into desmos calculator, and came up with a equation that represented the one that the original graphs direction was going in. I came up with the function y=a\cdot b^x+h^x-1k that is a little off, but shows the direction of the original graph pretty well. The domain of this function is [0, Infinity), The range of this function is any number greater than zero. http://www.billboard.com/biz/articles/news/digital-and-mobile/5855162/digital-music-sales-decrease-for-first-time-in-2013: This following link changes the prediction of the domain and range of this graph because music sales decreased in 2013, that means the graph is going to decrease as well, affecting the domain and range of this graph. Yes there is a problem with trying to extend a set of data points of a continuous graph because when changing the graph it means the graph will change, and it can be dramatically, or barley at all, it just depends on how much you change/extend the data points.
I predict that the basketball will not go into the basket, because at the rate its going it will hit the rim, or miss the rim by a hair. The Actual Graph:
From finding a function that would represent the graph, I think that the ball will go into the hoop, because if you look at the graph it predicts that it will make it into the hoop. For this picture I used the function y=-.10\left(-x+7.25\right)^2+7.25. Skateboard ramp: 21 inches Skateboard ramp: 14 inches skateboard ramp: 7 inches For the 21 inch ramp my prediction was way off from the actual graph the skate board made, for the 14 inch ramp my prediction got a little closer than my first prediction, but was off. The 7 inch prediction was pretty much the same as the actual graph, just slightly off at the beginning. The two graphs that were different are not as precise as the last, because the first graph(21 inch) I didn't really know how it was going to pan out, and it was a starter graph. The 14 inch graph was off because I learned that it tapered off at the end, and didn't just go back down to zero, and that's were I put my two mistakes and got on the dot pretty much for the 7 inch graph. My reasoning for the original graphs was made by the video, and watching the videos once and making the prediction graph, then watching the video in slow motion and graphing points and making the real graph. The zeros on the graph represent when the skateboard stopped, and no longer was moving. The graph rises the fastest when the skate board is going down the ramp, and has all that momentum, and it means that the graph took little time to peak, and more time to descend. When the graph falls the fastest it represents when the skate board is going in reverse back down the drive way, and it means it takes little time, but is slower then when it went down the ramp.
On the image above is giving different graphs that represent the height of the flag the youngest boy scout has to hoist up, and the time that it would take him. Graph A is demonstrating a steady time pulling the flag up, and showing constancy in putting it up, Graph B is showing that the time it takes to put up the flag are faster, but maybe wind was a variable that was being dealt with effecting it to slightly curve. Graph C is showing a break in the pulling of the flag and it being repeated over again. Graph D is showing that it took longer to get the flag up to its full height, Graph E is showing maybe a constant pull of the rope then a break to get it the rest of the way hoisted in the air. Graph F is showing that in one shot the flag was hoisted up in little time. The graph that is the most realistic in this situation is flag C, because when pulling up a flag there is a tug, a break, and then another tug on the rope and that is demonstrated in graph C. The least realistic for this situation is graph F, because only superman can pull a flag all the way to the top in one try, and it took very little time.
Smiley face: Before&AfterDuring the Introduction to Families of Functions packet it made you use functions to add to the smiley face you were given, and above you can see the things I did to change the smiley face. The next part of the packet gave you a function, and made you give an example of it and graph it. There were many functions in this part but the main ones that I used in the smiley face were Quadratic, Sine, Absolute Value, and Constant functions. When using the functions listed I changed, and added detail to them such as adding sliders, and adding translations to them. The most challenging part of this project was trying to make the functions and make them translate and slide into the right spots, during this I learned a lot about translating functions, and how to move them left, right, up, and down.
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AuthorMy name is Corbin, and this is my blog for precalc. ArchivesCategories |