Ending Amount = Beginning Amount / 2^n
where 'n' = # of half lives
n = 20,000 / 1,600 = 12.5 half-lives
Ending Amount = 1 kg / 2^12.5
Ending Amount = 1 kg /
<span>
<span>
<span>
5,792.6
</span></span></span>Ending Amount =
<span>
<span>
<span>
0.00017263 kilograms = </span></span></span><span>0.17263 grams
</span>
Answer:
12+(-38)+27= 1
Step-by-step explanation:
When a positive is multiplied by a negative, the sign becomes negative. Therefore, 12+(-38) becomes 12-38. So 12-38+27= 1.
Answer:
1. y= 25400(1 + 0.11)^x
2. 2019
Step-by-step explanation:
1. y = a(1 + r)^x <em> </em>
<em>(exponential growth formula :</em>
<em>a = initial value (the amount before measuring growth or decay)
</em>
<em>r = growth or decay rate (usually represented as a percentage and expressed as a decimal)
</em>
<em>
x = number of time units that have passed)</em>
y= 25400(1 + 0.11)^x
so in 1 year, in 1996, we would say
y=25400(1+0.11)^1
y=25400(1.11)
y=28194
2. I found the answer by plugging in numbers into x
with x = 24
y= 25400(1+0.11)^24
y= 310874
so in 24 years, the population will surpass 302438 which would be 1995+24= 2019
Answer: 2172
Step-by-step explanation:
Formula to find the sample size n , if the prior estimate of the population proportion(p) is known:
, where E= margin of error and z* = Critical z-value.
Let p be the population proportion of adults have consulted fortune tellers.
As per given , we have
p= 0.20
E= 0.02
From z-table , the z-value corresponding to 98% confidence interval = z*=2.33
Then, the required sample size will be :
Hence, the required sample size = 2172
