please show all work and computations for 7 and 8.

7) a) Claire's grandfather had opened a savings account in her name when she turned 13 years of age, and deposited $5,000 in it then. Claire is now 28 years of age. If Claire would like to withdraw $10,000 today, what interest rate should she have earned on the account? If the account paid interest at the rate of 5% per year, how many years will it take for the money to grow to become $12,000 from the time it was deposited? b) 8) Mina is 8 years old today. Her mom anticipates she will start college in 10 years, and would like to have $100,000 in a savings account to fund Mina's college education at that time. a) How much money should Mina's mom put in the account today so she'll have $100,000 in 10 years, if the account pays 3% interest per year? b) Suppose Mina's mom deposits $70,000 in the account today. What interest rate should the money earn in order for Mina to be able to withdraw S100,000 in 10 years? c) If Mina's mom deposits $70,000 today in an account that pays 2.8% interest, how many years will it take for the money to grow to become $100,000? d) Instead of saving in one lump sum, Mina's mom would like to save in equal annual installments over 10 years. How much money should Mina's mom save each year in an account earning 3.2% interest, if she wants Mina to be able to withdraw $100,000 from the account in 10 years