Answer:
$108
Step-by-step explanation:
1 box = $12
18 boxes = 12×18 = $216
Total = 18×65 = 1170 pens
Cost price, Cp = $216
3 = $1
378 = 378/3 = $126
1170-378= 792 pens remaining
4 = $1
792 = 792/4 = $198
Total selling price, sp = 126+198 = $324
Profit = Sp - Cp = 324 - 216 = $108
The answer would be 98
7+7=14
14•7=98
Answer:
The n th of the given sequence is ![t_{n} = 26-6 n](https://tex.z-dn.net/?f=t_%7Bn%7D%20%3D%2026-6%20n)
Step-by-step explanation:
<u>Step 1</u> :-
Given sequence is 20,14,8,2,.......this sequence in arithmetic progression but this sequence is decreasing sequence.
given first term is 20 and difference is![d = second term- first term = 14-20=-6](https://tex.z-dn.net/?f=d%20%3D%20second%20term-%20first%20term%20%3D%2014-20%3D-6)
now the nth term of given sequence is
by using formula ![t_{n}=a+(n-1)d](https://tex.z-dn.net/?f=t_%7Bn%7D%3Da%2B%28n-1%29d)
![t_{n}= 20+(n-1)(-6)](https://tex.z-dn.net/?f=t_%7Bn%7D%3D%2020%2B%28n-1%29%28-6%29)
![t_{n}= 20-6 n+6](https://tex.z-dn.net/?f=t_%7Bn%7D%3D%2020-6%20n%2B6)
final answer:-
![t_{n} = 26-6 n](https://tex.z-dn.net/?f=t_%7Bn%7D%20%3D%2026-6%20n)
<u>verification</u>:-
![t_{n} = 26-6 n](https://tex.z-dn.net/?f=t_%7Bn%7D%20%3D%2026-6%20n)
put n=1 we get first term is 20
put n=2 we get second term is 14
put n=3 we get third term is 8
put n=4 we get fourth term is 2
so the n th term of sequence is
![t_{n} = 26-6 n](https://tex.z-dn.net/?f=t_%7Bn%7D%20%3D%2026-6%20n)
Answer:
a. 60/61
Step-by-step explanation:
With reference angle A
base(b) = 60
hypotenuse (h) = 61
Now
Cos(A) = b / h
= 60/ 61
The zeros of a function are the values of x that make the function be equal to zero.
When graphing a quadratic equation, the graph is a parabola, and the zeros of the function are the x-intercepts of the graph, which are the points where the graph intersects the x-axis.
So, if the zeros of this function are x = -8 and x = 2, that means the parabola crosses the x-axis at x = -8 and x = 2.
Therefore the correct option is the first one.