Which Equation Is A Linear Function Iready
A linear function can be written in the form y = mx + b. Key Concepts Concept: Form y = mx + b Concept: Slope m is constant Concept: No x^2 or xy terms Steps Action: Look for x^1 terms only Action: Solve for y to reveal mx + b Action: Check no higher powers […]
How To Find Theoretical Yield
Determine the limiting reactant by converting all reactants to moles, then use the balanced equation to convert moles of the limiting reactant to moles of product (and convert to grams if needed).
How To Calculate Theoretical Yield
Calculate moles of limiting reactant, apply stoichiometry to moles, convert to product mass. Key Concepts Concept: Limiting reactant determines yield Concept: Stoichiometry links reactants to products Concept: Convert moles to grams via molar mass Steps Action: Write balanced equation and molar ratios Action: Determine limiting reactant from data Action: Compute product moles; convert to grams […]
Continuously Compound Interest
Continuously compounded interest is interest calculated an infinite number of times per period. The balance after time t on principal P at rate r is $$A = P e^{rt}$$.
Compounded Interest Continuously
Continuous compounding uses the exponential formula $$A = P e^{rt}$$. Here P is the principal, r is the annual rate, t is time in years, and A is the final amount.
Continuous Compound
Continuous compounding means interest is compounded continuously; the amount after t years is $$A = P e^{rt}$$.
Continuous Interest
Continuous interest, or continuous compounding, is interest that accrues continuously; the amount is $$A = P e^{rt}$$.
Compound Continuous
Continuous compounding means interest is calculated an infinite number of times per period, so A = P e^{rt}.
Interest Compounded Continuously
Interest is compounded continuously, so $$A = P e^{rt}$$, where P is principal, r the annual rate, and t the time in years.
Continuous Interest Formula
A = P e^{rt} is the continuous-compounding formula. Key Concepts Concept: Continuous compounding Concept: Accumulation factor e^{rt} Concept: Principal vs final amount Steps Action: Identify P, r, t values Action: Compute exponent rt Action: Evaluate A = P e^{rt} Formula $$A = P e^{rt}$$ $$I = A – P = Pleft(e^{rt} – 1right)$$