Solve the initial value problem.
= 
csc t cot t, v
= - 1
A. v = csc t - 2
B. v = - 
- 
C. v = - 
- 1
D. v = - 
- 
Answer: B
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Solve the problem. Round to the nearest cent unless otherwise noted.April has been saving for her retirement for the last 30 years, depositing $250 into an IRA at the end of each month. Based on an annual interest rate of 4.2% compounding monthly,a. How much does she have to retire?b. If she plans to receive monthly payments with a payout annuity for the next 30 years, how much will she receive monthly?c. How much could she withdraw monthly for life without reducing her balance?
A. a. $179,833.90 b. $879.42 c. $629.42 B. a. $51,122.95 b. $691.28 c. $441.28 C. a. $251,262.47 b. $1228.72 c. $879.42 D. a. $156,884.70 b. $698.24 c. $448.24
Refer to the weighted voting system 
and the Shapley-Shubik definition of power. (The three players are P1, P2, and P3.)The Shapley-Shubik power distribution of the weighted voting system is
A. P1: 
; P2: 
; P3: 
.
B. P1: 
; P2: 
; P3: 0.
C. P1: 
; P2: 
; P3: 
.
D. P1: 
; P2: 
; P3: 
.
E. none of these
Describe the situation with a linear inequality and then solve the inequality.A standard train ticket in a certain city costs 
per ride. People who use the train also have the option of purchasing a frequent rider pass for 
each month. With the pass, a ticket costs only
per ride. Use an inequality to determine the number of train rides in a month for which purchasing the monthly pass is more economical than purchasing the standard train ticket.
A. ? 22 times B. ? 24 times C. ? 23 times D. ? 21 times
Solve the problem.The total revenues (in dollars) for a hot dog vendor selling x hot dogs is given by the polynomial function 
. Find the total revenue in selling 90 hot dogs.
A. $27.00 B. $2700.00 C. $2430.00 D. $270.00