Dirk opened up a savings account with $600. at a yearly interest rate of 5 percent that is compounded monthly, how much interest will dirk earn in six months.

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

in mathematics, a function is a relationship between two variables such that the value of one of the variables, called the dependent variable, is determined by the value of the other variable, called the independent variable. there is a specific term we use to describe the set of independent variables of a function.

a negative exponent is translated as follows:

so, we have