PPT-Exponential Growth & Decay, Half-life, Compound Interest

Exponential Growth Exponential growth occurs when an quantity increases by the same rate r in each period t When this happens the value of the quantity at any given time can be calculated as a function of the rate and the original amount . Fernando . G.S.L. . Brand. ão. ETH Zürich. Based on joint work with . Michał. . Horodecki. . Arxiv:1206.2947. Q+ Hangout, February 2012. Condensed (matter) version of the talk. Finite correlation length implies correlations are short ranged. Sebastián Jordán, Valentina Carvajal, Rebeca Pérez-Anda, Juan Ignacio . Lalama. 04/15. Introduction. The Condor, is an important animal, . People have damaged most of the condor population.. T. h. Understanding the difference. Linear equations. These equations take the form:. . y. = . mx. + . b. . . m. is the slope of the line. . b. is the value of . y. when . x. = 0 . (the . y. - . s is in the half-open-half-closed interval [lowEnough, tooHigh) where the end-points are integers Fernando . G.S.L. . Brand. ão. ETH Zürich. Based on joint work with . Michał. . Horodecki. Arxiv:1206.2947. COOGEE. 2013. Condensed (matter) version of the talk. Finite correlation length implies correlations are short ranged. State that radioactive decay is a random and spontaneous process and that the rate of decay decreases exponentially with time.. Define the term radioactive half-life. . Determine the half-life of a nuclide from a decay curve. . (4.1) Exponential & Logarithmic Functions in Biology. (4.2) Exponential & Logarithmic Functions: Review. (4.3) . Allometry. (4.4) Rescaling data: Log-Log & Semi-Log Graphs. Recall from last time that we were able to come up with a “best” linear fit for . Appreciation & depreciation. 8. What you Should Learn. I can interpret coefficients and exponents in the context of the problem.. I can model and solve growth (appreciation) and decay (depreciation) problems.. Finances Part I. Sales Tax. Optional for individual states.. How to compute sales tax:. (Total cost of item) x (percent of sales tax) = amount of sales tax. Cost of item + amount of sales tax = register price. $6500 principle earning 2.8% compounding monthly after 2 years. $2000 principle earning 5.4% compounding semiannually after 4 years. Exponential Growth & Decay . Standard Form:. y = a•b. x. However, depending on the question, we have to change the growth factor. . Differentiate between linear and exponential functions.. 4. 3. 2. 1. 0. In addition to level 3, students make connections to other content areas and/or contextual situations outside of math..  . Students will construct, compare, and interpret linear and exponential function models and solve problems in context with each model.. Differentiate between linear and exponential functions.. 4. 3. 2. 1. 0. In addition to level 3, students make connections to other content areas and/or contextual situations outside of math..  . Students will construct, compare, and interpret linear and exponential function models and solve problems in context with each model.. Growing Money with Compound Interest. No-Frills Money Skills Video Series, Episode 1. https://www.youtube.com/watch?v=aqu8pALMtOs. Interest Terms to Know. Interest rate: the price paid for using someone else’s money, expressed as a percentage of the amount borrowed. . All slides in this presentations are based on the book Functions, Data and Models, S.P. Gordon and F. S Gordon. ISBN 978-0-88385-767-0. Fitting Data to An Exponential Function. Although Linear Regression is a powerful tool, not all relationships between two quantities are linear. (See scatterplots in figure 5.28).