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-X 5 - 5x (x, y) = 7 X Submission 4 (0/1 points) Monday, October 18, 2021 08:32 PM MDT Find all solutions of the given system of equations and check your answer graphically. (If there is no solution, enter NO SOLUTION. If the system is dependent, express your answer in terms of x, where y = y(x).) 5x + 7y : 4 7 -X -5x + 4 (x , y ) = 7 X Find all solutions of the given system of equations and check your answer graphically. (If there is no solution, enter NO SOLUTION. If the system is dependent, express your answer in terms of x, where y = y(x).) 5x + 7y 4 -X - (-5x + 4) (x, y) = 7 X Need Help? Read It Watch It1. [0/1 Points] DETAILS PREVIOUS ANSWERS MY NOTES ASK YOUR TEACHER Practice Another Find the amount accumulated FV in the given annuity account. (Assume end-of-period deposits and compounding at the same intervals as deposits. Round your answer to the nearest ten dollars.) $200 deposited monthly for 16 years at 2% per year FV = $ 0 X 45,210 Check Score Hide Answer Try Another Find the amount accumulated FV in the given annuity account. (Assume end-of-period deposits and compounding at the same intervals as deposits. Round your answer to the nearest ten dollars.) $300 deposited monthly for 18 years at 6% per year FV = $ 147.045 X Need Help? Read It Submit Answer 2. [-/1 Points] DETAILS MY NOTES ASK YOUR TEACHER Find the amount accumulated FV in the given annuity account. (Assume end-of-period deposits and compounding at the same intervals as deposits. Round your answer to the nearest cent.) $1,700 is deposited quarterly for 20 years at 2% per year FV = $ Need Help? Read It Watch It3. [-/1 Points] DETAILS MY NOTES ASK YOUR TEA Find the amount accumulated FV in the given annuity account. (Assume end-of-period deposits and compounding at the same intervals as deposits. Round your answer to the nearest cent.) $300 is deposited monthly for 10 years at 3% per year in an account containing $7,000 at the start FV = $1 Need Help? Read It Watch It 4. [-/11 Points] DETAILS MY NOTES ASK YOUR TEA This question has several parts that must be completed sequentially. If you skip a part of the question, you will not receive any points for the skipped part, and you will not be able to come back to the skipped part. Tutorial Exercise Find the amount accumulated FV in the given annuity account. HINT [See Quick Example 1 and Example 1.] (Assume end-of-period deposits and compounding at the same intervals as deposits.) $140 deposited monthly for 20 years at 3%% per year in an account containing $14,000 at the start Step 1 Note that this question asks us to find the amount accumulated in an annuity with an initial investment. To find the future value of the account, we will find the future value of the $14,000 and the future value of the monthly deposits separately and then find the sum of the two amounts. Let's begin by finding the future value of the initial $14,000. Recall that the future value FV of an investment of PV dollars earning compound interest at a rate of / per compounding period for n periods is FV = PV(1 + 1)". Given that $14,000 was the initial investment, FV = If the annual interest rate of 3% per year as a decimal is 0.03, then the monthly interest rate is 0.03 If the investment is compounded monthly for 20 years, then the number of periods of compounding is 7 = 12 - 20 =5. [-/1 Points] DETAILS MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Find the periodic payments PMT necessary to accumulate the given amount in an annuity account. HINT [See Quick Example 2.] (Assume end-of-period deposits and compounding at the same intervals as deposits. Round your answer to the nearest cent.) $70,000 in a fund paying 5% per year, with monthly payments for 5 years PMT = $ Need Help? Read It 6. [-/1 Points] DETAILS MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Find the periodic payments PMT necessary to accumulate the given amount in an annuity account. (Assume end-of-period deposits and compounding at the same intervals as deposits. Round your answer to the nearest cent.) $70,000 in a fund paying 2% per year, with quarterly payments for 20 years PMT = $1 Need Help? Read It Watch it 7. [-/1 Points] DETAILS MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Find the present value PV of the annuity account necessary to fund the withdrawal given. (Assume end-of-period withdrawals and compounding at the same intervals as withdrawals. Round your answer to the nearest cent.) $700 per month for 20 years, if the account eams 4% per year $ = Ad Need Help? Read It Watch it 8. [-/1 Points] DETAILS MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Find the present value PV of the annuity account necessary to fund the withdrawal given. HINT [See Quick Example 3.] (Assume end-of-period withdrawals and compounding at the same intervals as withdrawals. Round your answer to the nearest cent.) $2,300 per quarter for 20 years, if the account earns 6% per year PV = $9. [-/1 Points] DETAILS MY NOTES As Find the periodic withdrawals PMT for the given annuity account. (Assume end-of-period withdrawals and compounding at the same intervals as withdrawals. Round your answer to the nearest cent.) $500,000 at 89%, paid out monthly for 20 years PMT = $ Need Help? Read It Watch It 10. [-/1 Points] DETAILS MY NOTES As Find the periodic withdrawals PMT for the given annuity account. HINT [ See Quick Example 4.] (Assume end-of-period withdrawals and compounding at the same intervals as withdrawals. Round your answer to the nearest cent.) $400,000 at 8%, paid out quarterly for 17 years PMT = $1 Need Help? Read It 11. [-/1 Points] DETAILS MY NOTES AS Determine the periodic payments PMT on the given loan or mortgage. (Round your answer to the nearest cent.) $60,000 borrowed at 6% for 9 years, with monthly payments PMT = $ Need Help? Read It Watch It 12. [-/1 Points] DETAILS MY NOTES As Determine the periodic payments PMT on the given loan or mortgage. (Round your answer to the nearest cent.) $400,000 borrowed at 2% for 4 years, with quarterly payments PMT = $13. [-/11 Points] DETAILS MY This question has several parts that must be completed sequentially. If you skip a part of the question, you will not receive any points for the skipped part, and you will not be able to come back to the skipped part. Tutorial Exercise Determine the outstanding principal of the given mortgage. (Assume monthly interest payments and compounding periods.) HINT [See Example 7.] a $100,000, 22-year, 4.2% mortgage after 10 years Step 1 Note that this question asks us to find the outstanding principal, after the first 10 years, on a 22-year, $100,000 mortgage. The present value formula can be used to calculate the outstanding principal on a mortgage, but to use this formula, the monthly payment on the mortgage must be known. To calculate the monthly payment PMT on a mortgage valued at PV dollars for n periods at an interest rate of i per period, use the formula PMT = FV - [1 - (1 + i)-] The given mortgage is $100,000, so PV = 0.042 The 4.2% annual interest rate as a decimal is 0.042, so the monthly interest rate is / = If the investment is for 22 years with monthly payments, then the number of pay periods is n = 22 - 12 = Submit Skip (you cannot come back)