Sebastian deposited money into an account in which interest is compounded monthly at a rate of 2.3% how much did he deposit if the total amount in his account after 5 years was $2123.47, and he made no other deposits or withdrawals. a.$1879. b.$1893. c.$2055. d.$2075.

B. $1893

Step-by-step explanation:

Given: The rate of interest =2.3%

In decimal, the rate of interest  

The amount after 5 years = $2127

Let P be the initial invested  amount.

The The formula for annual compound interest (compounded monthly)is given by:-

Therefore, the initial deposit = $1893

18

step-by-step explanation:

draw the shape and you will see that f and k are actually at adjacent vertices (points of the hexagon that are neighboring).   so find the distance between (1,2) and (4,2).   that is easy since (1,2) and (4,2) is just a vertical distance to count, which is 3.   it is a regular polygon which means all sides are congruent.   you have 6 sides (hexa) so multiply 6 by 3 to receive 18.