Question 274732
using this method solve these type of problems are easy
formula is used to solve these type of problems 
amount A= p *[(1+r/100) ^n]
here p= $75,000
rate of interest per year =6%, this is very important step convert rate of interest per half year for this we divide the rate of interest by 2
now rate of interest for half year=6%/2=3% ,now r=3%


now the time period=4 1/2 years=in 4 years we are having 8 half years ,in 4 1/2 years we are having 9 half years, now n=9
p=$75,000,r=3%,n=9
amount A=p*[(1+r/100)^n]
substitute p,r,n values in this formula we get amount compounded half-yearly
A=$75,000*[(1+3/100) ^9]
A=$75,000*[(1+0.03)^9]
A=$75,000*[(1.03)^9]
A=$75,000*1.03*1.03*1.03*1.03*1.03*1.03*1.03*1.03*1.03
do this using calculator