In March, a family starts saving for a vacation they are planning for the end of August. The family expects the vacation to cost $1380. They start with $125. At the beginning of each month they plan to deposit 20% more than the previous month. Will they have enough money for their trip? If not, how much more do they need?

No, they need $138.76 more

Step-by-step explanation:

April:

10% of $125 = 12.5

12.5 x 2 = 25

$125 + $25 = $150

May:

10% of $150 = $15

$15 x 2 = $30

$150 + $30 = $180 (180 is 20% more than 150)

June:

10% of $180 = $18

$18 x 2 = $36

$180 + $36 = $216

July:

10% of $216 = $21.60

$21.60 x 2 = $43.20

$216 + $43.20 = $259.20

August:

10% of $259.20 = $25.92

$25.92 x 2 = $51.84

$259.20 + $51.84 = $311.04

$125 + $150 + $180 + $216 + £259.20 + $311.04 = $1241.24

$1380 - $1241.24 = $138.76

(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

if x = 1, then the answer is 3.5