MATH HELP NEEDED PLEASE HELP!

1) A person borrows $5000 for 6 months at a discount rate (simple interest) of 4% per year.

(a) Determine the discount (D) - show work.

(b) Determine the proceeds (P), the actual amount the borrower gets - show work.

2) If a $25,000 investment grows to $75,000 in 25 years, what is the interest rate (in percentage, rounded to 3 decimal places), assuming annual compounding? Show work.

3) A certain life insurance company offers a childs college education annuity that pays 7.2% compounded quarterly. What equal quarterly deposit should be made into this annuity in order to have $200,000 for college expenses in 18 years? Show work (use the sinking fund payment formula).

4)Albert makes a one-time deposit of $9,000 in a savings account at 6.9% annual interest compounded monthly.

Betty deposits $150 into a savings account at the end of every month for 7 years at 6.9% annual interest compounded monthly.

(a) How much will Albert have in his account at the end of seven years? Show work.

(b) How much will Betty have in her account at the end of seven years? Show work.

(c) Who has more money in his/her account at the end of seven years and by how much, Albert or Betty? Show work.

(d) How much has each person earned in total interest, at the end of seven years? Who earned more in total interest and by how much? Show work.

5)What is the annual percentage yield (APY) for money invested at an annual rate of 4.45% compounded daily? Show work.

6)In 1998, John purchases a house and takes out a 25 year $150,000 mortgage at 6% interest, compounded monthly, with monthly mortgage payments.

(a) Determine his monthly mortgage payment. Show work.

(b) Exactly 10 years later in 2008 (after he has made 120 payments), what is the unpaid balance left on the mortgage? Show work.