MATH 1030-008: FINAL EXAM FORMULAS TO KNOW
Don’t worry about memorizing the following formulas. They will be given; just know how to use
them and how to solve for PMT in the Savings plan formula.
Savings plan formula:
h
1+
A = P MT ×
AP R (nY )
n
i
−1
AP R
n
Loan payment formula:
P MT = h
P×
1− 1+
AP R
n
AP R (−nY )
n
i
Memorize the following and know when and how to use each one:
Compound interest formula for interest paid n times a year:
nY
AP R
A=P 1+
n
Note: daily means n = 365
monthly means n = 12
quarterly means n = 4
Compound interest formula for continuous compounding:
A = P × e(AP R×Y )
Approximate Doubling Time and Halving Time formulas:
Tdouble ≈
70
70
and Thalf ≈
P
P
Note: These can only be used when the P in P% is less than 15. If the P is greater than 15, you
must use the exact formulas.
General Equation for a line:
y = mx + b, or
dependent variable = rate of change × independent variable + initial value (or y-intercept).
1
2
MATH 1030-008: FINAL EXAM FORMULAS TO KNOW
Rate of change: rate of change = slope = m =
change in dependent variable
change in independent variable
=
rise
run
=
change in y
change in x
Surface Area and Volume of a Rectangular Box (a.k.a Prism)
Surface Area = 2(lw + wh + lh)
Volume = lwh
Surface Area and Volume of a Cylinder
Surface Area = Area of 2 circles + Area of curved curface of cylinder
= 2πr2 + Area of a rectangle with length πd and height h
= 2πr2 + πdh
= 2πr2 + 2πrh
Volume = πr2 h
Note: The above formulas have the formulas for area of a circle and area for a rectangle in them;
this means you will need to know those too.
Equations for Exponential functions
Q = Q0 × (1 + r)t
Q = Q0 × 2t/Tdouble
t/Tdouble
Q = Q0 × 21