1. [I8.33 Points] DETAILS TANAPCALCEI'HO 5.3.001. Find the accumulated amount A, if the principal P is invested at an interest rate of r per year for 2' years. (Round your answer to the nearest cent.) P = $3700, r = 5%, t = 10, compounded semiannually A = $ Need Help? @ Show My Work (Opnnnl) e 2. [43.33 Points] TANAPCALCIMO 5.3.001.EP. Consider the following where the principal P is invested at an interest rate of r per year for it years. P = $3,700, r = 4%, t = 10, compounded semiannually Determine m, the number of conversion periods per year. Find the accumulated amount A (in dollars). (Round your answer to the nearest cent.) A = $ Need Help? Show My Work (Optional) 0 3. [48.33 Points] DETAILS TANAPCALCEMB 5.3.003. Find the accumulated amount A, if the principal P is invested at an interest rate of r per year for t years. (Round your answer to the nearest cent.) P = $180,000, r= 4%, t = 8, compounded monthly A = 3 Need Help? Show My Work (Optional) 9 4. [4 3.33 Points] DETAILS TANAPCALCER10 5.3.004. Find the accumulated amount A, if the principal P is invested at an interest rate of r per year for 2' years. (Round your answer to the nearest cent.) P = $180,000, r = 5%, t = 4, compounded daily A = $ Need Help? Show: My Work (Optional) 0 5. [4 8.33 Points] DETAILS TANAPCALCEMII 5.3.006. Find the effective lite corresponding to the given nominal rate. (Round your answers to three decimal places.) (a) B.5%/year compounded monthly % (b) B.5%/year compounded daily % Need Help? @ Show My work (Optional) 9 6. [4 8.33 Points] DETAILS TANAPCALCIR10 5.3.007. Find the present value of $80,000 due in 5 years at the given rate of interest. (Round your answers to the nearest cent.) (a) 9%lyear compounded semiannually $ (b) 9la/year compounded quarterly $ Need Help? @ 7. [-/8.33 Points] DETAILS TANAPCALCBR10 5.3.010. MY NOTES ASK YOUR TEACHER An amount of $33,000 is deposited in a bank that pays interest at the rate of 3%/year, compounded annually. What is the total amount on deposit at the end of 7 years, assuming there are no deposits or withdrawals during those 7 years? (Round your answer to the nearest cent.) $ What is the interest earned during that period of time? (Round your answer to the nearest cent. ) $ Need Help? Read it Watch It Show My Work (Optional) @ 8. [-/8.33 Points] DETAILS TANAPCALCBR10 5.3.012. MY NOTES ASK YOUR TEACHER Present Value of an Investment Jada deposited an amount of money in a bank 4 years ago. If the bank had been paying interest at the rate of 8%/year compounded daily (assume a 365-day year) and she has $27,000 on deposit today, what was her initial deposit? (Round your answer to the nearest cent.) $ Need Help? Read It Show My Work (Optional) @ 9. [-/8.33 Points] DETAILS TANAPCALCBR10 5.3.012.EP. MY NOTES ASK YOUR TEACHER Jada deposited an amount of money in a bank 4 years ago. The bank had been paying interest at the rate of 8%/year compounded daily (assume a 365-day year) and she has $27,000 on deposit today. -mt Examine the information above and state each of the following values as they relate to the present value formula for compound interest, P = A( 1 + -) . (Determine the value of A in dollars.) A = $ m What was Jada's initial deposit (in dollars)? (Round your answer to the nearest cent.) $ Need Help? Read It10. [-/8.33 Points] DETAILS TANAPCALCBR10 5.3.022. MY NOTES ASK YOUR TEACHER How long will it take $16,000 to grow to $20,000 if the investment earns interest at the rate of 6%/year compounded monthly? (Round your answer to one decimal place.) yr Need Help? Read It Show My Work (Optional) @ 11. [-/8.33 Points] DETAILS TANAPCALCBR10 5.3.022.EP. MY NOTES ASK YOUR TEACHER An investment of $16,000 grows to $20,000 earning interest at the rate of 6%/year compounded monthly. Examine the information above and state each of the following values as they relate to the compound interest formula, A = P(1 + _)". . (Determine the values of A and P in dollars.) A= P = $ m = r = How long (in years) will it take for the investment to grow as described? (Round your answer to one decimal place.) yr Need Help? Read It Show My Work (Optional) @ 12. [-/8.37 Points] DETAILS TANAPCALCBR10 5.3.048. MY NOTES ASK YOUR TEACHER Pensions Eleni, who is now 50 years old, is employed by a firm that guarantees her a pension of $80,000/year at age 65. What is the present value of her first year's pension if inflation over the next 15 years is each of the following? Assume that inflation is continuously compounded. (Round your answers to two decimal places.) a) 4% (b) 6% (c) 9%