Answer: the number of years is 7.3 years
Step-by-step explanation:
We would apply the formula for exponential decay which is expressed as
A = P(1 - r)^ t
Where
A represents the population after t years.
t represents the number of years.
P represents the initial population.
r represents rate of growth.
From the information given,
P = 1250
A = 1000
r = 3% = 3/100 = 0.03,
Therefore
1000 = 1250(1 - 0.03)^t
1000/1250 = (0.97)^t
0.8 = 0.97^t
Taking log of both sides, it becomes
Log 0.8 = tLog 0.97
- 0.0969 = - 0.0132t
t = - 0.0969/- 0.0132t
t = 7.3 years
The answer is two. Six goes into Twelve two times
So they go up and first they double then triple etc do the answer would be 3050
Answer:
given mass =1500kg
intial velocity(u)=0 m/s
final velocity(v)=20m/s
time(s)=10 sec
accelerating force of the car engine=final velocity-intial velocity/time=20-0/10=20/10=2m/s^2
Answer:
(1) F(n) = 8050 -400n
(2) 16 days
Step-by-step explanation:
Tylor first day he has left 7,250feet left to climb, this means that he has already climbed his 400ft on his first day
This will produce an arithmetic series for the distances left to climb as each day passes
initial climb = 7,250+400 = 7,650
Arithmetic Series
7650 , 7250 , 6850 , 6450 ......
a = 7650 , d = -400
(1) Explicit formula
F(n) = a + (n-1)d
= 7650 + (n-1)(-400)
= 7650 +400 -400n
F(n) = 8050 -400n
(2) 8050 -400n = 1750
6300 = 400n
n = 6300 /400 = 15.75 = 16 days( approximately)
So after 16days (approximately) Taylor will have 1750ft left to climb.
