Need Help Solving Exponential Functions ASAP!!!!

The formula for exponential growth and exponential decay is

A =I (1 + r)^n, where A is the amount, I is the initial amount, r is the rate of exponential growth or decay and n is the number of periods.

For example, if we start with 100 units and the growth is 5% per period, we get the equation A = 100 (1+0.5) ^n. When n is 0, anything to the exponent 0 is 1, so we start with 100 units. When n is 1, we get 105 units.

Similarly, if a car costing $50,000 depreciates in value 30% per year, we have A= 50000 (1-0.3)^n, Again, when n = 0, anything to the power of 0 is 1, so we start at $50,000. When n=1, A = 35,000. When n = 2, A = $24,500.

Good luck,

Paul

I am not sure what you mean. Even politicians use the term exponential so it has become blurry.
16=2^4 The power function is related to the exponential.
16=1.6*10^1 Scientific notation. Scientific notation is an exponential display format.
Take your pick.

I am not sure what you mean. Even politicians use the term exponential so it has become blurry.
16=2^4 The power function is related to the exponential.
16=1.6*10^1 Scientific notation. Scientific notation is an exponential display format.
Take your pick.

Make sure you use the +/- key (located just right of the decimal point key) to enter a negative number. For example, to raise 3 to the -2 power, press 3 y^x 2 +/- =

The inverse of a natural logarithm (ln) is the exponetial (e^x). Both share the same physical key [LN] pour ln and [SHIFT] [LN] (e^x) for the exponential.
Syntax is : [ln] 3 [EXE] gives 1.098612289
exponential of 4: [SHIFT][LN] 4 [=] 54.59815003

The inverse of decimmal logarith is raise 10 to a power. Both share tha same physical key [LOG]
log of 6 : [log] 6 [=] result is 0.7781512504
antilog of 0.77: [SHIFT][LOG] 0.77 [=] result is 5.888436554

For more complicated arguments (expressions) it may be a good idea to use parentheses to enclose the arguments of functions.

Hello,
There is no key dedicated to e, the base of natural logarithm, the same as there is for pi. However you can find it as the VALUE of the exponential function e^(x) for x=1. To obtain the VALUE of e you press [SHIFT] [ln] to access e^x, enter 1 and press [EXE].

Thus
[SHIFT][LN]1 [EXE] gives 2.718281828.

If you need that numerical VALUE often you may want to store it into a variable, say E. To do that
[SHIFT][LN]1 [-->] [APLHA] E [EXE]

From experience, I know that it is not the VALUE of e that you need but the symbol e to define the exponential function. If you press [SHIFT][LN] you get a syntax error. You can never see e in a multiplication, addition, or other arithmetic operation.

In this calculator, the e is first and foremost the symbol for the exponential function. If you need to draw the exponential function of X
you press [SHIFT][LN] X. Parentheses are not needed for simple arguments as this one, but if the exponent is a complicated expression parentheses are needed.
If you mean exponential of X you type [SHIFT][LN] [X,theta,T], but if you want exponential of (x-3z+ 0.5 y^2), you must enclose the argument (the object of the function) between parentheses
[SHIFT][LN] [ ( ] x-3*z+ 0.5*y [^]2 [ ) ] [EXE].

Hope it helps.

Hello,
Yes it does. All scientific calculators do logs, power, roots, exponential, trigonometric functions. Most do also hyperbolic and inverse hyperbolic functions.
Hope it helps.

The y^x button is right next to the x^2 button. It is labled with an x raised to a square box (which I will write as x^box). Thus, if you enter (for example)

2 x^box 5 = 32

there is a nice tutorial on prenhall.com
this works for ti 83, 83+, 84, 84+ and 84+ silver