Answer: About 16 years
Step-by-step explanation:
The formula to find the compound amount if compounded continuously is given by :-
, where P is Principal amount, r is the rate of interest ( in decimal) and t is time ( in years).
Given : P= $1000 ; r= 4.6%=0.046
let t be the time it will take to double the amount, the we have

Dividing 1000 both sides, we get

Taking natural log on each side, we get

Hence, it will take about 16 years to double the amount.
Answer:
M=9
Step-by-step explanation:
Combine the like terms and wallah you solved it
Answer : number 4 is a dependent system
Explanation:
If we look at number 4
2x+2y=6 , y= -x+3
2(x+y)=6
x+y=6/2=3
y=-x+3
Now we see that the two equation have the same slope (-x) and the same y intercept (+3) we can clearly say that these 2 equation are dependent because it has infinite solution
When we calculate the sum of the series C∞, n=1 ∑ an
whose partial sums are given
sn = 2 − 9(0.9)ⁿ
We can get an answer which is 2.
It has an infinite number of terms, the infinite series. The partial sum is the sum of the first n terms, Sn. The answer in this question is 2.
Answer:
I'm not sure for my answer but is B
I'm gonna put the steps
Step-by-step explanation:
x2−4x−12as(x+p)(x+q)
=−12apqs−12apsx−12aqsx−12asx2+x2−4x