Brandon wants to buy a motorcycle when he retires in 10 years. He wants to have $45,000 saved at that time to purchase this motorcycle. If he earns 8% interest, compounded quarterly, how much does he need to invest today in order to buy it when he retires in 10 years? Sydney's loving grandfather is planning to give her $150,000 when she turns 21 years old, 8 years from now. What amount of money does her grandfather have to deposit today if he can earn 6% interest, compounded semiannually, to meet this goal?