Answer:
2.9 years
Step-by-step explanation:
Given that :
Half-life t1/2 = 9 years
Initial mass = I = 70 grams
A = final mass = 56 grams
t = time taken to reach final amount
Using the exponential half life relation :
A = I(0.5)^t/t1/2
56 = 70(0.5)^t/9
56/70 = 0.5^t/9
0.8 = 0.5^t/9
Log 0.8 = log 0.5^t/9
−0.096910 = −0.301029 * t/9
t/9 = 0.096910 / 0.301029
t/9 = 0.3219291
t = 0.3219291 * 9
t = 2.8973619
t = 2.9 years
Answer:
sorry i donot know.......
Continuous compounding is the mathematical limit that compound interest can reach.
It is the limit of the function A(1 + 1/n) ^ n as n approaches infinity. IN theory interest is added to the initial amount A every infinitesimally small instant.
The limit of (1 + 1/n)^n is the number e ( = 2.718281828 to 9 dec places).
Say we invest $1000 at daily compounding at yearly interest of 2 %. After 1 year the $1000 will increase to:-
1000 ( 1 + 0.02/365)^365 = $1020.20
with continuous compounding this will be
1000 * e^1 = $2718.28
To solve this question, we have to find the equation of the circle with given center and where it passes. Doing this, we get that the equation of the circle is:
Equation of a circle:
The equation of a circle with center 
and radius r is given by:
Center at (16, 30)
This means that 
Thus
Passes through the origin:
We use this to find the radius squared, as this means that 
is part of the circle. Thus
Thus, the equation of the circle is:
For another example to find the equation of a circle, you can look at brainly.com/question/23719612
Answer:
Step-by-step explanation:
In a study of the relationship between pet ownership and physical activity in older adults, 586 subjects reported that they owned a pet, while 1931 reported that they did not. Give a 98% confidence interval for the proportion of older adults in this population who are pet owners. Lower limit Incorrect: Your answer is incorrect. Upper limit
p ± z × (1 - p/n)
z = 98%
p = 586/1931
= 0.3034697048
n = 1931
Approximately = 0.3035
Confidence interval =
0.3035 + 2.326 × ( 1 - 0.3035/ 1931)
