Yes. Anything that multiplies repeatedly like that is exponential, also sometimes referred to as geometric.
The number of atoms that decay in a certain time is proportional to the amount of substance left. This naturally leads to the exponential function. The mathematical explanation - one that requires some basic calculus - is that the only function that is its own derivative (or proportional to its derivative) is the exponential function (or a slight variation of the exponential function).
false
Compound interest, but only if the previous interest is accumulated.
With compound interest, after the first period you interest is calculated, not only on the original amount but also on the amount of interest from earlier periods. As to "better" or not, the answer depends on whether you are earning it on savings or paying it on borrowing!
Compound interest increases the amount earned by adding credited interest to the principal, and interest will then be earned on that money as well. The longer the principal and interest remain in the account, the greater the earnings they will accrue.
No, an function only contains a certain amount of vertices; leaving a logarithmic function to NOT be the inverse of an exponential function.
The number of atoms that decay in a certain time is proportional to the amount of substance left. This naturally leads to the exponential function. The mathematical explanation - one that requires some basic calculus - is that the only function that is its own derivative (or proportional to its derivative) is the exponential function (or a slight variation of the exponential function).
The effect of compound interest is that interest is earned on the accrued interest, as well as the principal amount.
Calculation of simple interest is faster in comparison to compound interest. In the latter, interest is added up with the principal amount and interest is charged on that added amount in the next period calculation.
false
Yes.
True
Yes.
Compound interest means that the amount of interest earned during a period increases the principal, which is then larger for the next interest period.
An exponential growth function actually describes a quantity that increases exponentially over time, with the rate of increase proportional to the current value of the quantity, resulting in rapid growth. The formula for an exponential growth function is y = a * (1 + r)^t, where 'a' is the initial quantity, 'r' is the growth rate, and 't' is time.
Simple interest: stays the same. Compound interest: increases.
Simple interest: stays the same. Compound interest: increases.