Answer:
The growth rate he needs to achieve his goal is approximatelly 19.8%
Step-by-step explanation:
Since the sum will be compounded continuously we have to use the appropriate formula given below:
M = C*e^(r*t)
Where "M" is the final amount, C is the initial amount, r is the interest rate and t is the time elapsed. Since Sung Lee will invest that sum at 18 years old and he wants to recieve the return at 25, then the time elapsed is given by 25 -18 = 7 years. We can now apply the data to the formula:
16000 = 4000*e^(r*7)
4000*e^(7*r) = 16000
e^(7*r) = 16000/4000 = 4
ln[e^(7*r)] = ln(4)
7*r = ln(4)
r = ln(4)/7 = 0.198
The rate of interest is given by (r)*100%, so we have (0.198)*100% = 19.8%.
We know that area=0.5*base*height.
Thus, the equation would look like:
127.5=0.5*base*height
That means, 255 = base*height.
We know base is 17
Then, we divide 255 by 17. That gets us the height.
The height equals 15.
Answer:
no solution
Step-by-step explanation:
well first you gotta distribute
-5(-3 - w) + 4 = -5/6(24 - 6w)
15 + 5w + 4 = -20 + 5w
19 + 5w = -20 + 5w
+20 +20
39 + 5w = 5w
-5w -5w
39 ≠ 0
therefore there is no solution (which is the answer)
3 blue, 2 red, 5 white........total of 10 sweaters
probability that red is picked first : 2/10 reduces to 1/5
replace
probability of second pick being white : 5/10 reduces to 1/2
replace
probability of third pick being blue : 3/10
probability of all of this happening : 1/5 * 1/2 * 3/10 = 3/100 <==
