Formulas (Semester 1)

Question 1

Simple Interest

Answer 1

I=prt

Question 2

Compound Interest

Answer 2

B=p(1+r/n)^(nt)

Question 3

APY

Answer 3

APY=(1+r/n)^(n)-1

Question 4

Continuous Compound Interest

Answer 4

B=pe^(rt)

Question 5

Future Value of Periodic Investments

Answer 5

B=P((1+r/n)^(nt)-1)/(r/n)

Question 6

Present Value of Single Deposit Investments

Answer 6

P=B/((1+r/n)^(nt))

Question 7

Present Value of Periodic Deposit Investments

Answer 7

P=B(r/n)/((1+r/n)^(nt)-1)

Question 8

Monthly Payment

Answer 8

M=(p(r/12)(1+r/12)^(12t))/((1+r/12)^(12t)-1)

Question 9

Loan Length

Answer 9

t=ln(M/p)-(ln(M/p)-(r/12))/912ln(1+r/12))

Question 10

Exponential Decay

Answer 10

y=A(1-r)^x

Question 11

Length of Ownership

Answer 11

t=ln(y/A)/(ln(1-r))

Question 12

Distance

Answer 12

D=rt

Question 13

Mileage

Answer 13

D=MG

Question 14

Total Stopping Distance (mph/ft)

Answer 14

(s)+(s)^2/20

Question 15

Total Stopping Distance (kmph/m)

Answer 15

(s/5)+(s)^2/170