Answer:
x = (-5 ± 2√10) / 3
Step-by-step explanation:
5 − 10x − 3x² = 0
Write in standard form:
-3x² − 10x + 5 = 0
Solve with quadratic formula:
x = [ -b ± √(b² − 4ac) ] / 2a
x = [ -(-10) ± √((-10)² − 4(-3)(5)) ] / 2(-3)
x = [ 10 ± √(100 + 60) ] / -6
x = (10 ± 4√10) / -6
x = (-5 ± 2√10) / 3
$33,075 = 0.05S + S
$33,075 = 1.05S
$33,075/1.05 = 1.05S/1.05
S= $31,500
Check
$31,500 * 5% = $1575 + $31,500 =$33,075
I believe the answer is 12.56 due to the fact that you would use the formula v=3.14 x 2^2
