This week was pretty easy i guess. I understand alot of it really so....yeah. The thing that is probably the easiest is exponential functions. All you have to do is basically plug things in and then ur set. There are 3 different formulas:
A(t)=Ao(l+r)^t
A(t)=Aob^t/k
Ao=what you start with
b=double, half, etc (use this if u see double, half, etc in the problem)
k=time reg. to double, half, etc
t=time
P(t)=Poe^rt
Po=what you start with
r=rate
t=time
(only use this when compounding continuously)
All you basically have to do is plug the numbers in and solve if it says so.
I still dont understand the exponent thing so if someone can please help me then id be really happy.
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Exponents:
ReplyDelete1.b^x * b^y = b^x + y
example: 2^3 * 2^5 = 2^8
2.b^x/b^y = b^x - y
example: 5^7/5^4 = 5^3
3.(ab)^x = a^xb^x
example: (3 * 7)^3 = 3^3*7^3
4.(a/b)^x = a^x/b^x
example: (3/5)^3 = 3^3/5^3
5. (b^x)^y = b^xy
example: (2^2)^3 = 2^6
6. b^x/y = y^√b^x
examples: 5^3/4 = 3^√5^3
7. to solve for exponents:
-write as the same base
-set exponents equal
-then solve for x
example:
4^t^2 = 4^6 - t
t^2 = 6 - t
t^2 - t - 6 = 0
(t - 2) (t + 3) = 0
t = -3, t = 2