28-30 all please

28. You plan to make 40 -quarterly deposits into a fund in order to have $10,000 at the end of 10 years. Consider the following 3 cases: (I) Deposit SR1 starting today; earn j4=x% (II) Deposit $R1 starting 3-months from today; carn j4=x% (III) Deposit $RIII starting 3-months from today; eam j12=x% Which of the following is true? (A) R1>RII;RIIIR:RI>Rm (C) R1RIII 29. A woman has bought a house and makes mortgage payments of $400 every two-wecks for 25 years. If the mortgage interest rate is j2=7%, what is the size of her original mortgage loan? (nearest dollar) (A) $123,927 (B) $120,104 (C) $117.713 (D) $114,382 30. An endowment fund is set up today. It prowides payments of $2000 a year forever (first payment one year from now). The interest rate is j1=8% for the first year and j1=6% each year thereafter. How much is needed to be deposited (invested) today? (answer to nearest dollar) (A) $30,864 (B) $35,333 (C) $32,716 (D) $36,145 28. You plan to make 40 -quarterly deposits into a fund in order to have $10,000 at the end of 10 years. Consider the following 3 cases: (I) Deposit SR1 starting today; earn j4=x% (II) Deposit $R1 starting 3-months from today; carn j4=x% (III) Deposit $RIII starting 3-months from today; eam j12=x% Which of the following is true? (A) R1>RII;RIIIR:RI>Rm (C) R1RIII 29. A woman has bought a house and makes mortgage payments of $400 every two-wecks for 25 years. If the mortgage interest rate is j2=7%, what is the size of her original mortgage loan? (nearest dollar) (A) $123,927 (B) $120,104 (C) $117.713 (D) $114,382 30. An endowment fund is set up today. It prowides payments of $2000 a year forever (first payment one year from now). The interest rate is j1=8% for the first year and j1=6% each year thereafter. How much is needed to be deposited (invested) today? (answer to nearest dollar) (A) $30,864 (B) $35,333 (C) $32,716 (D) $36,145