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%.
<span> 1/3(2x - 3) + 1 = 1/4(3x + 5) - 2
2x/3 - 3/3 + 1 = 3x/4 + 5/4 - 2
2x/3 - 1 + 1 = 3x/4 + 5/4 - 2
2x/3 - 3x/4 - 0 = 3x/4 - 3x/4 + 5/4 - 2
2x*4/3*4 - 3x*3/4*3 = 0 + 5*1/4*1 - 2*4/1*4
8x/12 - 9x/12 = 5/4 - 8/4
(8x - 9x)/12 = (5 - 8)/4
-x/12 = -3/4
-x/12 * 12 = -3/4 * 12
-x = -36/4
-x * -1 = -36/4 * -1
x = 36/4
x = 9
Done
For check the answer
let x = 9
1/3(2[9] - 3) + 1 = 1/4(3[9] + 5) - 2
1/3(18 - 3) + 1 = 1/4(27 + 5) - 2
1/3(15) + 1 = 1/4(32) - 2
15/3 + 1 = 32/4 - 2
15/3 + 3/3 = 32/4 - 8/4
18/3 = 24/4
6 = 6
therefor
x = 9 is a correct answer</span>
Answer:
(3, 1 )
Step-by-step explanation:
Given the 2 equations
y = - x + 4 → (1)
y = x - 2 → (2)
Substitute y = x - 2 into (1)
x - 2 = - x + 4 ( add x to both sides )
2x - 2 = 4 ( add 2 to both sides )
2x = 6 ( divide both sides by 2 )
x = 3
Substitute x = 3 into either of the 2 equations and solve for y
Substituting into (2)
y = 3 - 2 = 1
solution is (3, 1 )
Omg if I had my TI calculator I could help you !!
Answer:
3x-2
Step-by-step explanation:
12x-8/4 = 3x-2 is one side length of a square
