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%.
Answer:
A, B and C
Step-by-step explanation:
example of B
-3×2/3 =-2
-2+2 =0
Y=1 and >0
A and C are also right
Edit: I changed my originally wrong answer, the second poster was right
11
66=11×6
121=11×11
132=11×12
Answer:
The value of x from the figure is 58 degrees
To get the value of x, we will use the formula:
The angle at the vertex = 1/2(difference of angles at the arc)
Angle at the vertex = 1/2(160 - x)
51 = 1/2(160 - x)
102 = 160 - x
x = 160 - 102
x = 58 degrees
Hence the value of x from the figure is 58 degrees
2(1/2 1 x 4) = 4
2 x 1 = 2
8 x 4 = 32
32 + 4 + 2 = 38units^2
