Aerial’s grandmother gave her 5500 to save for her collage education. she went to the bank to open a savings account. the bank told her they had two options available.

account a will pay 5.5% simple interest
until the account is payed

account b i will pay 4.5% simple interest and if the account is left open for longer than 3 years, then at the end of the third year a bonus account will be opened with $250 that also earns 4.5% for the remainder of the time the initial account is open. when the initial account is closed, the bonus account will be closed as well as the money firm the two accounts will be combined.

if arial is planning on leaving the money in the account for 4 years and then withdrawing all funds, then the is the better choice earning her more.

Account B is the better choice for earning her (6751.25 - 6710) = $41.25 more.  

Step-by-step explanation:

Account A will pay 5.5% simple interest until the account is paid.

Therefore, after 4 years the principal $5500 will grow up to dollars.  

Now, Account B will pay 4.5% simple interest and if the account is left open for longer than 3 years, then at the end of the third year a bonus account will be opened with $250 that also earns 4.5% for the remainder of the time the initial account is open.

Therefore, after 4 years the principal $5500 will grow with a simple interest of 4.5% and the bonus $250 will earn the same rate of simple interest for 1 year.

Hence, the total sum will become dollars.

Therefore, account B is the better choice for earning her (6751.25 - 6710) = $41.25 more.  (Answer)

(a) common ratio in the given sequence is, 3

(b) push ups will do kendall do on the 20th week

step-by-step explanation:

geometric sequence is a sequence of numbers that follows a pattern were the next term is found by multiplying by a constant called the common ratio(r)

(a)

given the sequence: 6 , 18 , 54 , 162 ,

this sequence is geometric sequence where each term is 3 times the previous term.

therefore,

common ratio(r) = 3.

(b)

a formula for nth term of geometric sequence is given by;

,   where r is the common ratio between the successive terms and is the first term,

to find how many push ups will kendall do on the 20th week.

here. n = 20th term.

in the given sequence first term

then;

simplify:

therefore, push ups will do kendall do on the 20th week