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bove this line Assume you have a savings bank account that initially contains Mo dollars. After each year, you deposit a 8 constant amount of

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bove this line Assume you have a savings bank account that initially contains Mo dollars. After each year, you deposit a 8 constant amount of 100 dollars into the account. The savings account yields a 5% gains every year (a) Compute, as function of Mo, the dollar amount that you will have after one year (Mi), two years (M2), and three years (Afg): {(y): {C0+ ' | 5% yield mean multiply by 1.05 -1 2 M2-105 (uos) 41 0 0 10 S S. 2 3 .os.100 (b) Using the pattern above, write Ma (the amount that you have after n years) as a function of Mo for general n using the sum (E) notation. Be careful to indicate which terms are INSIDE the sum and which ones are OUTSIDE of the sum! No Incorrect M (n) 3 n: (c) Rewrite Mn using the following partial geometrie sum:r Everything following is incorrect since these questions rely on (b) being correct (d) How much money will you have after 20 years if you initially invested Mo 1000 dollars? No need of calculator just leave your answer as an explicit formula (i.e., your final answer should not have any variables and only have numbers) 20 (e) How much money will you have lf you keep investing forever? IExplain in detail If nades -lo 'r. n,ty -fhe inital nvest ment, will coninve to mcrease by lo.os)An.An represents the amount each year O.oS bove this line Assume you have a savings bank account that initially contains Mo dollars. After each year, you deposit a 8 constant amount of 100 dollars into the account. The savings account yields a 5% gains every year (a) Compute, as function of Mo, the dollar amount that you will have after one year (Mi), two years (M2), and three years (Afg): {(y): {C0+ ' | 5% yield mean multiply by 1.05 -1 2 M2-105 (uos) 41 0 0 10 S S. 2 3 .os.100 (b) Using the pattern above, write Ma (the amount that you have after n years) as a function of Mo for general n using the sum (E) notation. Be careful to indicate which terms are INSIDE the sum and which ones are OUTSIDE of the sum! No Incorrect M (n) 3 n: (c) Rewrite Mn using the following partial geometrie sum:r Everything following is incorrect since these questions rely on (b) being correct (d) How much money will you have after 20 years if you initially invested Mo 1000 dollars? No need of calculator just leave your answer as an explicit formula (i.e., your final answer should not have any variables and only have numbers) 20 (e) How much money will you have lf you keep investing forever? IExplain in detail If nades -lo 'r. n,ty -fhe inital nvest ment, will coninve to mcrease by lo.os)An.An represents the amount each year O.oS

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