Find the periodic payment R of a loan with a present value PV of $18,000 and an annual interest rate r 5.4% for a term of t 6 years, with payments made and interest charged 12 times per year.

  $293.24

Step-by-step explanation:

The amortization formula is good for this. (So are any number of financial calculators or apps.)

  R = PV(r/n)/(1 -(1 +r/n)^(-nt))

for present value PV, annual interest rate r, term t in years, and n the number of compoundings per year.

  R = $18,000(0.054/12)/(1 -(1 +0.054/12)^(-12·6)) ≈ $293.24

The periodic payment is $293.24.

3/4 ÷ 3/4

step-by-step explanation:

basically divide any proper fraction with itself to fit the criteria.

so if we are using 3/4, then:

3/4 ÷ 3/4 = 1

so 1 is the quotient.

and the numerators for both these fractions is 3.   and if we divide the numerators:

3 ÷ 3 = 1

we see that quotient is equal to our original quotient as well.