Answer:
C
Step-by-step explanation:
In the equation y = -x - 4, the gradient is -1.
While in the second equation,
5x + 5y = 20
y = -x + 4
So the gradient is -1 too
Both sides are not perpendicular to each other because if you apply the formula, m1m2 = -1, and if substitute both gradient, (-1)(-1) = 1 ≠ -1
Therefore, no they are not perpendicular but parallel instead.
Answer:
5 sessions each
Step-by-step explanation:
Let the personal training sessions be x.
<u>Then at Silver Gym Sarah would spend:</u>
<u>And at Fit Factor she would spend:</u>
<u>Since total costs are same, the amounts will be equal:</u>
- 35+30x = 85 + 20x
- 30x - 20x = 85 - 35
- 10 x = 50
- x= 50/10
- x= 5
So Sarah would buy 5 training sessions for each of the gyms.
And she would spend $185 at each.
For a single payment with compound interest, the equation to use is F=P(1+i)^n where F is the value after n periods, P is the present value, and i is the interest rate.
If we want the final value F to double given 5% per year interest, F=2P then i=5.
Solving for n:
2P=P(1+0.05)^n
2=(1.05)^n
log(base 1.05)2=n
n=14.206=14.21 years
Answer:
Step-by-step explanation:
x = 1
Perform the indicated multiplication:
-9x-2(-3x+3.7)+2=−10x+1.6 becomes
-9x + 6x - 7.4 + 2 = -10x + 1.6
Combining the x terms, we get:
-3x + 10x - 5.4 = 1.6, or
7x = 7
Dividing both sides by 7 isolates x: x = 1
Answer:The lowest note on most pianos is A0, the highest C8. The MIDI system for electronic musical instruments and computers uses a straight count starting with note 0 for C−1 at 8.1758 Hz up to note 127 for G9 at 12,544 Hz
Step-by-step explanation:
