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:
I believe that the answer is 95 meters.
Explanation:
Okay, so to solve this question, you must know the formula to solve for the area of a rectangle/square.
<em>Area of a rectangle/square - </em><em>l x w</em>
<em />
In this question, you can see the the width (72 m) and the area (6840 m²) is already given. What you can do in this situation is to use the opposite operator (division) to solve for the length of the rectangular field.
<em>6840 ÷ 72 = </em><em>95</em>
You can always double check to see if the number is correct.
<em>A = l x w</em>
<em>= 72 m x 95 m</em>
<em>= </em><em>6840 m</em>²
Really hope this helped. :)
K= change in y/ change in x
K= (30-18)/(5-3)
K=12/2
K=6
X=1/30
Reduce 6/9 to 2/3, take 2/3 from both sides, then subtract the fractions
Answer:
The number is 12
Step-by-step explanation:
[] First, let's turn all these words into something mathematical. N will equal "my number"
-><u> If you add 12 to my number</u> and then multiply the result by 3, you will get 64 more than two-thirds of my number.
-> n + 12 <u>and then multiply the result by 3</u>, you will get 64 more than two-thirds of my number.
-> 3(n + 12), you will get 64 more than <u>two-thirds of my number</u>.
-> 3(n + 12) = <u>64 more than</u> 
-> 3(n + 12) = 64 +
[] Phew, okay. Now it is something we can solve and less scary;
[Given]
3(n + 12) = 64 +
[Distribute]
3n + 36 = 64 +
[Multiply both sides by 3]
9n + 108 = 192 + 2n
[Subtract 108 and 2n from both sides]
7n = 84
[Divide both sides by 4]
n = 12
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather
