Answer: The first option.
Step-by-step explanation:
1. To solve this exercise you need to remember that:
- An even function is a function with the following property:
f(-x)=f(x)
- An odd function is a function with this property:
f(-x)=-f(x)
2. By definition, the contangent is an odd function, therefore you have that:
cot(-θ)=-cot(θ)
Then:
3. So, you can coclude that the first step is wrong. Therefore, the answer is the first option.
Answer:
Hence final answer is $15.17
Step-by-step explanation:
Given that Dirk opened up a savings account with $600.
So P=$600
"At a yearly interest rate of 5 percent"
Means r=5% = 0.05
"compounded monthly" means n=12
i= monthly rate of interest = r/n=0.05/12
"how much interest will Dirk earn in six months." means find Interest when time is 6 months
Plug these values into compound interest formula:
A=615.169372966
which is approx
A=615.17
Now interest earned will be difference of A and P
Interest =A-P=615.17-600=$15.17
Hence final answer is $15.17