1. find the present value. amount per payment: $820 payment at the end of each: 6 months number of years: 14 interest rate: 5% compounded: semiannually

Present Value: P=?
Amount per Payment at the end of each 6 months: A=$820
Number of periods: n=14*2→n=28
Interest rate: i=5%=5/100→i=0.05
Compounded Semiannually

P=A{[1-(1+i)^(-n)]/i}
P=$820{[1-(1+0.05)^(-28)]/0.05}
P=$820{[1-1.05^(-28)]/0.05}
P=$820[(1-0.255093637)/0.05]
P=$820(0.744906363/0.05)
P=$820(14.89812725)
P=$12,216.46435
P=$12,216.46

Present Value is $12,216.46

1. isolate the variable, in this case, d. subtract 35.5 on both sides of the equation.2. 52 subtracted by 35.5 is 16.53. therefore your answer would be d= 16.5this is the basics of pre algebra, isolating variable through adding, subtracting, multiplying, and dividing, if you have any other questions to ask just comment!