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:
<u><em>A. -36 </em></u>
<u><em>*The answer must have a negative sign.*</em></u>
Step-by-step explanation:
First, you had to add/subtract by the integers.
Then, you subtract by the numbers.

It change positive to negative sign.

Hope this helps!
-Charlie
Thank you!
Let 'a' be the number of ounces of 2%-solution in the 25-ounce mixture
and 'b' be the number of ounces of 5%-solution in the 25-ounce mixture.
Since, fluid ounces of each concentration should be combined to make 25 fl oz.
So, a+b=25 (Equation 1)
And, a container of 2% acid solution and a container of 5% acid solution should be combined to make 25 fl oz of 3.2% acid solution.
So, a of 2% + b of 5% = 3.2% of 25


Multiplying the above equation by 100, we get
(Equation 2)
Substituting the value of a=25-b in equation 2, we get





Since, a=25-b
a= 25-10
a=15.
So, 15 fluid ounces of 2% solution combined with 10 ounces of the 5% solution to create a 25-ounce mixture at 3.2% concentration of acid.
Answer:
There are 42 different types of shirt available for this company.
Step-by-step explanation:
Given:
Number of design Company has = 3
Number of color pattern available = 7
Types of shirt (short or long sleeves) = 2
We need to find the number of different types of shirts are available from this company.
Solution:
the number of different types of shirts can be calculated by multiplying Number of design Company has with Number of color pattern available also multiplying with Types of shirt (short or long sleeves).
framing in equation form we get;
the number of different types of shirts 
Hence There are 42 different types of shirt available for this company.