In seven years' time, Johnny and Co want to invest in a joint venture with a Japanese company on a project in South Africa. The estimated value of the project is R$150000,00.$ How much do they need to set aside if the bank offers them an interest rate of $9\%$ compounded semi$-$annually at the end of the year?

a$.$

R$44886,97$

b$.$

R$80995,93$

C$.$

R$82055,14$

d$.$

R$40497,97$