.After making his first deposit, Paul has $758 in his checking account. The next month, the balance is $836. The balance after the third month is $914.

Using liner sequences & function

Step-by-step explanation:

This is the way I understand the question.  I hope it makes sense.

    n

     ∑ (P + 78n)                P = the initial depost which is 758

   n = 0

     so when n = 0       the sum equals P   or  758        because 78(0)  =  0

     so when n = 1       the sum equals P+78(1)       =     758 + 78     =  836

     so when n = 2       the sum equals P+78(2)     =     758 + 156    =  914

(sin 42)/31. = sinx)/37

sinx = 37 (sin42)/31

= 37× 0.66/31 = 0.787

x= 51.9

other angle opposite to y = 180-51.9-42

= 180- 93.9 =86.1

so

sin42)/31 = sin 86.1)/y

0.021 = 0.997 /y

y= 0.997/0.021 =47.47