Niki makes the same payment every two months to pay off his $61,600 loan. the loan has an interest rate of 9.84%, compounded every two months. if niki pays off his loan after exactly eleven years, how much interest will he have paid in total? round all dollar values to the nearest cent.

$39,695.48

Step-by-step explanation:

Here, the present value of the annuity is given.

Here, PV = $61,600

P is the periodic payment.

r = 9.84% or 0.0984

t = number of payments in a year = 6

n = 11 years

=>

=>

= 1534.78

So, Niki is paying $1,534.78 at every two months interval for eleven years.

Hence, total payment made by Niki will be = = $101295.48

So, interest paid = = $39,695.48

9.55 degrees.

step-by-step explanation:

the given angle is

1 cycle is equal to 2π radians. so 4π will be equal to two cycles.

5.166667π-4π = 1.166667π

hence, this angle goes a little more than negative x axis.

1.166667π-π= 0.166667π

hence, the reference angle is 0.166667π radians.

1 radian = 57.2958 degrees

now, in degrees, this should be equals to 9.55 degrees.