SOLUTION: Solve, (a) 1=300(0.8)^t (b) 5^n= 0.01 c) 250(1.03)^n=400 d) 25 = 200(0.5)^t/5730 Thanks

Question 1081191: Solve,
(a) 1=300(0.8)^t
(b) 5^n= 0.01
c) 250(1.03)^n=400
d) 25 = 200(0.5)^t/5730
Thanks
Answer by jorel1380(3719) (Show Source): You can put this solution on YOUR website!
a)1=300(0.8)^t
1/300=(0.8)^t
ln 1/300=ln (0.8)^t=t ln 0.8
t=ln 0.00333/ln 0.8=25.56
b)5^n=.01
ln 5^n=ln .01
n ln 5=ln .01
n=ln 0.01/ln 5=-2.8613531161467861013402131375279
c)250(1.03)^n=400
1.03^n=1.6
ln 1.03^n=ln 1.6
n=ln 1.6/ln 1.03=15.9
d)25=200(0.5)^t/5730
716.25=0.5^t
ln 716.25=ln 0.5^t
t=ln 716.25/ln 0.5=-9.4843194236442672185828361184889
☺☺☺☺
RELATED QUESTIONS
A survey of 45 randomly selected iPhone owners showed that the purchase price has a mean... (answered by Theo)

Dear Tutor, Could you please explain the procedure in solving this problem: Let... (answered by Fombitz)

T(n)=8+7(n-1).... (answered by 119078)

Solve:... (answered by greenestamps)

A sequence Tn is defined by T1 = T2 = 1 and T(n+2) = T(n+1) + Tn Tn = {{{(a^n - b^n)/... (answered by ikleyn)

Given T(x) = 9, find the following. (a) T(−3) = ? (b) T(0) = ? (c) T(2/7) = ? (answered by nerdybill)

an n=2,a,=4 and an=3a n-1 +1 How do I solve this? The possible answers are: a)13 b)0... (answered by ewatrrr)

Find the values of the variables of the matrix. 2+t 0 = -5 0 8 2 8 1y-2... (answered by jim_thompson5910)

Find the solution set of the inequality: |4t+6|≤14 A.{t: 2< t < 5} (answered by lynnlo)