This is easy but please help a nika out !!
1 answer:
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Answer:
The solutions are linearly independent because the Wronskian is not equal to 0 for all x.
The value of the Wronskian is
Step-by-step explanation:
We can calculate the Wronskian using the fundamental solutions that we are provided and their corresponding the derivatives, since the Wroskian is defined as the following determinant.
Thus replacing the functions of the exercise we get:
Working with the determinant we get
Thus we have found that the Wronskian is not 0, so the solutions are linearly independent.
Answer:
a. $1010.83
b.$1066.77
c. $1138.00
d.$13,269.22
Step-by-step explanation:
Given the annual rate as 13%(compounded monthly) and the principal amount as $1000.
a. #first we calculate the effective annual rate;
The compounded amount after 1 month is therefore:
Hence, the principle after one month is $1010.83
b. The principal after 6 months:
-From a above we have the effective annual rate as 0.1380 and our time is 6 months:
Hence, the principal after 6 months is $1066.77
c.The principal after 1 year:
-From a above we have the effective annual rate as 0.1380 and our time is 12 months:
Hence, the principal after 1 year is $1138.00
d. The principal after 20years:
-From a above we have the effective annual rate as 0.1380 and our time is 20yrs:
Hence, the principal after 20 years is $13,269.22