#11 why do i use LN? wouldn’t taking the ln of 1.0125 to the power of n just make it 1.0125??? and why do i divide them? 6. Find the future value of an annuity of $5000 paldat the end of each year for 10 years, if it earns 9% com-pounded annually.7. Find the future value of an ordinary annuity of $8000paid quarterly for 3 years, if the interest rate is 8% com-pounded quarterly.8. Find the future value of an ordinary annuity of $3000paid quarterly for 5 years, if the interest rate is 6% com-pounded quarterly.9. The Weidmans want to save $40,000 in 2 years fora down payment on a house. If they make monthlydeposits in an account paying 12% compoundedmonthly, what is the size of the payments that arerequired to meet their goal?10. A sinking fund is established to discharge a debt of$80,000 in 10 years. If deposits are made at the end ofeach 6-month period and interest is paid at the rateof 8% compounded semiannually, what is the amountof each deposit?11. If $2500 is deposited at the end of each quarter in and value (to thef the other valuese future val-aity of $1000ich annuity.the valueaccount that earns 5% compounded quarterly, afterhow many quarters will the account contain $80,000?een them at12. If $4000 is deposited at the end of each half year inan account that earns 6.2% compounded semiannu-ally, how long will it be before the account contains$120,000?13. In this section's Application Preview, we considered theinvestment strategies of twins and found that startingearly and stopping was a significantly better strategythan waiting, in terms of total contributions made aswell as total value in the account at retirement. Supposethat twin 1 invests $2000 at the end of each year for 10000.02years only (until age 33) in an account that earns 8%compounded annually. Suppose that twin 2 waits untilturning 40 to begin investing. How much must twin 2put aside at the end of each year for the next 25 yearsin an account that earns 8% compounded annually tohave the same amount as twin 1 at the end of these 25ure val-of $50nnuity.geryears (when they turn 65)?14. (a) Patty Stacey deposits $2000 at the end of each of5 years in an IRA. If she leaves the money that has DUESECTION(1+rfu=80,000piteP = 2500%3Dceprdqualo =?80/000- 2500 /C1+.0125 n-2800-7(0125)01250125,4%3D- l,0125"1.0125h = i,41.4in(1.0125)h=27,09 arhe28 quarkens

Question

#11 why do i use LN? wouldn’t taking the ln of 1.0125 to the power of n just make it 1.0125??? and why do i divide them? 6. Find the future value of an annuity of $5000 paldat the end of each year for 10 years, if it earns 9% com-pounded annually.7. Find the future value of an ordinary annuity of $8000paid quarterly for 3 years, if the interest rate is 8% com-pounded quarterly.8. Find the future value of an ordinary annuity of $3000paid quarterly for 5 years, if the interest rate is 6% com-pounded quarterly.9. The Weidmans want to save $40,000 in 2 years fora down payment on a house. If they make monthlydeposits in an account paying 12% compoundedmonthly, what is the size of the payments that arerequired to meet their goal?10. A sinking fund is established to discharge a debt of$80,000 in 10 years. If deposits are made at the end ofeach 6-month period and interest is paid at the rateof 8% compounded semiannually, what is the amountof each deposit?11. If $2500 is deposited at the end of each quarter in and value (to thef the other valuese future val-aity of $1000ich annuity.the valueaccount that earns 5% compounded quarterly, afterhow many quarters will the account contain $80,000?een them at12. If $4000 is deposited at the end of each half year inan account that earns 6.2% compounded semiannu-ally, how long will it be before the account contains$120,000?13. In this section's Application Preview, we considered theinvestment strategies of twins and found that startingearly and stopping was a significantly better strategythan waiting, in terms of total contributions made aswell as total value in the account at retirement. Supposethat twin 1 invests $2000 at the end of each year for 10000.02years only (until age 33) in an account that earns 8%compounded annually. Suppose that twin 2 waits untilturning 40 to begin investing. How much must twin 2put aside at the end of each year for the next 25 yearsin an account that earns 8% compounded annually tohave the same amount as twin 1 at the end of these 25ure val-of $50nnuity.geryears (when they turn 65)?14. (a) Patty Stacey deposits $2000 at the end of each of5 years in an IRA. If she leaves the money that has DUESECTION(1+rfu=80,000piteP = 2500%3Dceprdqualo =?80/000- 2500 /C1+.0125 n-2800-7(0125)01250125,4%3D- l,0125&#34;1.0125h = i,41.4in(1.0125)h=27,09 arhe28 quarkens

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