Monique deposited her money in the bank to collect interest. the first month, she had $225 in her account. after the sixth month, she had $273.75 in her account. use sequence notation to represent the geometric function.

a. an = 273.75 ⋅ (1.04)n−1

b. an = 273.75 ⋅ (1.22)n−1

c. an = 225 ⋅ (0.22)n−1

d. an = 225 ⋅ (1.04)n−1

D.  

Step-by-step explanation:

The nth term of geometric sequence is given by :-

, where a= First term.

r= common ratio.

Given : The first month, she had $225 in her account.

i.e. a= $225

Put n= 6 and a= $225 in (1), we get

                         (2)

After the sixth month, she had $273.75 in her account.

i.e.                           (3)

From (2) and (3) , we have

Divide both sides by 225 , we get

Substitute the value of a and r in (1) , we get

Hence, the correct answer is D.

if a = 1,   and b = 2, then the answer is 47.99999999. if you round that to the nearest whole number, the answer is 48.

for this case we have by definition, if two lines are perpendicular, then the product of their slopes is -1.

then, given the following line:

so,

we are looking for m_ {2}:

then, the line is given by:

we find "b" replacing the given point:

finally, the equation is:

option c