If a saving fund pays interest rate at 6% per year compounded semiannually, how much money invested now will amount to $4000 after 4 years?

c

step-by-step explanation:

1

x = 1

step-by-step explanation:

0 ÷ x = 0

0 ÷ 1 = 0

(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

5x10^11 x 65

325 x 10^11

or

325,