Step-by-step explanation:
10x² + 11x − 6 = 0
10x² + 15x – 4x – 6 = 0
5x(2x + 3) – 2(2x + 3) = 0
(2x + 3) (5x – 2)
No solution / no x
D=b^2-4*a*c -> D=-4^2-4*1*21 -> D=-28 -> D<0, no solution
Payment on Plan A = $300
x is the number of hours Jake works.
Payment on Plan B = Fixed charges + (charge per hour) × (number of hours worked)
= $150 + $6.25(x)
= 150 + 6.25x
Since, the payment on Plan B should be more than Plan A,
150 + 6.25x > 300
6.25x > 300 - 150
6.25x > 150

x > 24
The minimum vale for x which satisfies this inequality is 25.
Hence, x = 25.
Answer:
Option C.
Step-by-step explanation:
Given information: In triangle ABC, ST║AC, SB=10 ft, BT=9 ft and CT=2.7 ft.
Triangle proportionality theorem: If a line segment parallel to a side of a triangle then the line segments divides the remaining sides proportionally.
Using triangle proportionality theorem we get


On cross multiplication we get


Divide both sides by 9.

The length of SA is 3ft.
Therefore, the correct option is C.
Answer:
A. $3,984
Step-by-step explanation:
The amount of interest is computed from ...
I = Prt
For the given values, the interest is ...
I = $3600×0.08×(16/12) = $384
Then the total amount that needs to be repaid is ...
Principal + Interest = $3600 +384 = $3,984
_____
The time period is 16 months, so is 16/12 years.
The time periods of the interest rate and "t" in the formula must match. If the interest rate is an annual rate, then "t" is in years. If the interest rate is a monthly rate, then "t" is the number of months.