## Mark C.'s Resources Future Value of an Ordinary Annuity:        FVA = PMT [(1 + i)n -1]/i        FVA is:  75 [(1 + 0.005416)12 * 38 = 456 ]/0.005416        FVA is:  \$148,780.09 (regular calculator); for HP12-C: ... This appears to be a simple interest problem, as no compounding periods were noted.   Further, 30 months is simply 2.5 years.      To get the PV, take the FV/(1+i)n        PV = 10,000/(1.0209)2.5      PV =... FV = PV * (1 + i)n   Problem is, this is compounded weekly, not annually.  So, we must make adjustments:      FV = 2,500 * (1 + 0.0219/52.5)52.5 * 2 = 105        FV = 2,500 (1.00041714285)105      ... The interest rate is computed by the following:           n th root of (FV/PV)-1          Here, because of the bi-weekly, we adjust to the root being:  26*3 = 78            So, we take the... P = [PV]/[1-(1+r)-n/r   P=Payment r=APR interest rate n=number of payment months Remember that for the denominator, we have to divide the APR by 12   P=[20,000]/[1-(1+0.001658)-6*12=-72/0.0199/12   P=  20000/[(1-0.8875426426)/(0.0199/12)   P=[20,000]/[(1-0... Because this website doesn't seem to allow for editing, whenever formulas are involved, please see the work-out of a prior problem, involving the payments on a Toyota Camry. The correct formula for this, given the '^' symbol for exponents, has the following values: p=[150,000]/[1-(1+(0.0319/12)^-240)/(0... The whole bar could be divided into 12ths.  So, 12/12 = 100% of the bar.   If you have 1/12th of the bar remaining, then you have:         12/12 - 1/12 = 11/12.              So, you (or someone) ate 11/12ths... 1.0-0.25-0.10=0.65   0.65*360*1.0725=\$250.965         which, rounded to the nearest penny, is:  \$250.97 24+2x < 50 -24        -24   2x < 26   Divide out both sides by 2       x < 13        Since an integer can't have a fraction, it would rule out many conceivable lengths;    ... The 3rd choice is correct:         29-5x = 4          -4 + 5x    -4   +5x         25 = 5x       Re-write as:  5x = 25        To... Actually, the apparel industry uses two different standards to identify mark-up:   Mark-up on wholesale:  (which is the 240/120 = 2X which is 100%;   or.....   Mark-up on retail:  which is 120/240 = 50%   So, is the percent increase based... This is the very typical break-even calculation.  Set the 2 equations equal to each other:   EQ 1:  TC=10+5x EQ 2:  TC=20+3x          So, 10+5x=20+3x             -10 -3x  -10 ... Let x=# of charms;        y=106+x Given only 1 month, then set the 2 equations equal to each other, given that x=# of personal training sessions:        25+45x = 75 + 35x      -25-35x    -25-35x        So, 10x=50; divide both sides by 10,... Think of this in terms of an Absolute Value problem.   -3 and +4 have a difference of 7   |-3| + 4 = 7   Both conditions met. TC = 60(6) + 60*1.15(6)   TC = 60*6 + 69*6   TC = 360 + 414   Total Cost (spent) is:  \$774