Assignment: compound interest investigation
tyler has earned money by out on a neighbo...
Mathematics, 06.11.2019 23:31 chackey
Assignment: compound interest investigation
tyler has earned money by out on a neighbor's farm and now wants to put his earnings in a savings account. he is a bit confused on the different interest options available and how each will impact the amount he has after several years. tyler better understand by showing him how his money will increase in an account that uses simple interest and one that uses compound interest over a specified period of time.
1. a. if tyler deposits $1500 of the $3200 he has earned in an account that pays 4% interest compounded annually, how much will he have in his account after 5 years?
b. if tyler deposits $1500 of the $3200 he has earned in an account that pays 4% simple interest, how much will he have after 5 years? show all work.
c. which account would yield a greater amount? what is the difference between the two amounts?
2. a. if tyler deposits $2000 of the $3200 he has earned in an account that pays 8% interest compounded quarterly, how much will he have in his account after 1 year?
b. if tyler deposits $2000 of the $3200 he has earned in an account that pays 8% simple interest, how much will he have after 1 year? show all work.
c. which account would yield a greater amount? what is the difference between the two amounts?
3. tyler decides to deposit his earnings of $3200 in a savings account. bank a offers an account with a simple interest rate of 3.5%. bank b offers an interest rate of 3.4% compounded annually. after 3 years, in which bank will tyler have the greatest total? show all work.
a. find the interest earned for bank a.
b. find the total amount for bank b.
c. which bank should tyler choose if he wants to earn the greater amount? explain your reasoning.
d. which account would yield a greater amount? what is the difference between the two amounts?
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