Solve the problem.A person makes an initial deposit into a savings account paying 5% interest compounded annually. He plans to withdraw $100 at the end of each year.(a) Find the difference equation yn, the amount in the account after n years.(b) How large must the initial deposit be so that the money will not run out?
What will be an ideal response?
| (a) | yn = 1.05yn-1 -100 |
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Four players (A, B, C, and D) agree to divide a cake fairly using the lone divider method. The table below shows how each player values each of the four slices that have been cut by the divider.
Assuming she plays honestly, what should be player A's declaration?
A. {s2} B. {s2, s3} C. {s1, s2, s3, s4} D. {s3} E. none of these
Find the slope and y-intercept of the line.-x + 5y = 30
A. slope = -1; y-intercept = 30
B. slope = - 
; y-intercept = 6
C. slope = 5; y-intercept = -30
D. slope = 
; y-intercept = 6
Convert complex numbers to trigonometric form and then simplify the expression. Write the answer in standard form.
?
?
A. ?
B. ?
C. ?
D. ?
E. 
Use integration by parts to find the integral.
ln 3x dx
A. 
x3 ln 3x - 
x4 + C
B. 
x3 ln 3x - 
x3 + C
C. ln 3x - 
x3 + C
D. 
x3 ln 3x + 
x3 + C