To double the principle the formula is
2p=p e^rt
2=e^rt
2=e^0.12t
Solve for t
T=(log(2)÷log(e))÷0.12
T=5.78 years
Answer:
x=12
Step-by-step explanation:
(X-8)/7=2
X-8=14
X=22
Answer:
Step-by-step explanation:
3(7t - 5) - 2t = 4
3*7t - 3*5 - 2t = 4
21t - 15 - 2t = 4 {combine like terms}
21t - 2t - 15 = 4
19t - 15 = 4 {Add 15 to both sides}
19t = 4 + 15
19t = 19 {Divide both sides by 19}
t = 19/19
t = 1
Given:
To find:
The obtuse angle between the given pair of straight lines.
Solution:
The slope intercept form of a line is
...(i)
where, m is slope and b is y-intercept.
The given equations are
On comparing these equations with (i), we get
Angle between two lines whose slopes are is
Putting and , we get
Now,
and
and
and
, so it is an obtuse angle and , so it is an acute angle.
Therefore, the obtuse angle between the given pair of straight lines is 120°.
Answer: 0.332 < p < 0.490
Step-by-step explanation:
We know that the confidence interval for population proportion is given by :-
, where n= sample size
= sample proportion
z* = critical z-value.
As per given , we have
n= 258
Sample proportion of college students who own a car =
Critical z-value for 99% confidence interval is 2.576. (By z-table)
Therefore , the 99% confidence interval for the true proportion(p) of all college students who own a car will be :
Hence, a 99% confidence interval for the true proportion of all college students who own a car : 0.332 < p < 0.490