find the exact solution algebraically, and check it by
substituting into the original equation: log x = 4

find the amount A accumulated after investing a principal P for t years at an interest rate r compounded annually, and for simple interest at the same rate r:

P = $1500, r = 7, t = 6

convert from DMS to decimal form: 118°44′15′′

find the values of all six trigonometric functions of
the angle θ:
hyp: 5 ; adj: 3 ; opp:4

identify one positive angle that is co-terminal with 410º and less than 410°

solve each equation algebraically. Obtain a numeri-
cal approximation for your solution and check it by substituting into the original equation:
3 ln ( x-3 ) + 4 = 5

find the amount A accumulated after investing a principal P for t years at an interest rate r compounded k times per year" :
P = $1500, r = 7, t = 5, k = 4

convert from DMS to radians: 71.72°

assume that 23 is an acute angle in a right triangle
satisfying the given conditions. Evaluate the remaining trigonometric functions: sin θ = 3/7

point P is on the terminal side of angle θ. Evaluate
the six trigonometric functions for θ. If the function is undefined, write “undefined.” : P(3,4)

state the domain of each function: f(x) = 2 ln x

find the present value PV of a loan with an annual interest rate r and periodic payments R for a term of t years, with payments made and interest charged 12 times per year:
r = 4.7, R = $815.37, t = 5

convert from radians to degrees: 7π / 9

evaluate using a calculator. Give an exact value,
not an approximate answer: sec 45°

evaluate without using a calculator by using ratios
in a reference triangle: cos 120º

solve each equation by the method of your choice:
1/2 ln ( x+3 ) - ln x = 0

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

convert from decimal form to degrees, minutes,
seconds (DMS): 118.32°

evaluate using a calculator. Give answers correct to three decimal places: cos 19°23′

find (a) sin θ, (b) cos θ, and (c) tan θ for the given
quadrantal angle. If the value is undefined, write “undefined.” : 7π

solve each equation by the method of your choice:
log x - 1/2 log (x + 4) = 1

find the amount A accumulated after investing a
principal P for t years at interest rate r compounded continuously:
P = $1250, r = 5.4,, t = 6

use the appropriate arc length formula to find the
missing information:
s r u
? 2 in. 25 rad

find the acute angle θ that satisfies the given equation. Give θ in both degrees and radians. You should do these problems without a calculator: sin θ = 1/2

evaluate without using a calculator: Find sin θ and tan θ if cos θ = 2/3 and cot θ > 0.