Answer:
The original cost is $19.55
Step-by-step explanation:
What we want to do here is calculate the final cost, given the original price
What we have to do here is to substitute the value of $23 for p
This we have as;
23-0.15(23)
= 23-3.45
= $19.55
Answer:
Step-by-step explanation:
<u>Distributive property of multiplication:</u>
<u>Apply to the given expression:</u>
- 3(9x+2) =
- 3(9x) + 3(2) =
- 27x + 6
Given:
The sequence is -8, -12, -16.
To find:
The nth and 52th term of the given sequence.
Solution:
We have,
-8, -12, -16
It is an AP because the difference between consecutive terms are equal. Here, first term is -8 and the common difference is




The nth term of an AP is

Where, a is first term and d is common difference.
Putting a=-8 and d=-4, we get



Putting n=52, we get



Therefore, the equation for the nth term of the given sequence is
and the 52nd term of the sequence is -212.
If the length is 32 and the ratio is 3:4, you'd do 32 ÷ 4 = 8. The answer is 3 × 8, which is 24 inches. I hope this helps!
Answer:
parallel line: y=-3x+14
perpendicular line: y=1/3x +2/3
Step-by-step explanation:
For the parallel line, use the point-slope formula to find the equation of the parallel line (since the slope is the same as the given line and the point (4,2) is given. For the perpendicular line, use the opposite reciprocal of the slope of the given line and use the point-slope formula again. The point-slope formula is Y-Y1=m(X-X1)