Question

1 - 500 principal earning 4% compounded quarterly, after 6 year.

A - 1.281.65
B - 634.87
C - 709.26
D - 632.66

2 - 3500 deposit earning 6.75% compounded monthly, after 6 months.

A - 3,619.80
B - 3,743.70
C - 3,748.22
D - 4,860.36

Answer 1

You'll have $634.87 after 6 years at 4% compounded quarterly, thus B:
You'll have $3,619.80 after 6 months at 6.75% compounded monthly, thus A:

Formulas where n = 1 (compounded once per period or unit t)
1. Calculate Accrued Amount (Principal + Interest) A = P(1 + r)^t
2. Calculate Principal Amount, solve for P. P = A / (1 + r)^t
4. Calculate the rate of interest in decimal, solve for r. r = (A/P)1/(^t - 1)
5. Calculate rate of interest in percent. ...Calculate time, solve for t.