Answer:
6 titles and 16 acts were elaborated
Step-by-step explanation:
Let the number of titles be t and the number of acts be a
Since the total is 22 operations:
a + t = 22 •••••••(i)
Total amount from titles = 3500 * t = 3500t
Total amount from acts = 2000 * a = 2000a
2000a + 3500t = 53,000 ••••••(ii)
From i, a = 22-t
Insert this in ii
2000(22-t) + 3500t = 53,000
44,000 - 2000t + 3500t = 53,000
1,500t = 53000-44000
1500t = 9000
t = 9000/1500
t = 6
But a = 22 -
= 22-6 = 16
Answer:
A. 56.78 B. 389.22
Step-by-step explanation:
A.Social security: 498x.062=30.88
medicare: 498x.0145=7.22
state tax: 498x.025=12.45
local tax: 498x.0125=6.23
total of above = 56.78
B. Total taxes above (56.78) + federal withheld (52) = total taxes 108.78
total pay 498 - total taxes 108.78 = 389.22
Answer:
Kindly check explanation
Step-by-step explanation:
Given that :
Upper level seat = $25
Mid level seat = $40
Number of tickets to give away is at least 25
Budget constraint = $1000
part A: write a system of two inequalities that describe this situation
Number of tickets constraint:
Upper level + mid level ≥ 25
u + m ≥ 25
Cost constraint :
$25u + $40m ≤ $1000
Part B:
Give away 10 upper level seat tickets and 15 mid level seat tickets
Formula: f(x) = a(x – h)2 + k
transformation: 1 unit right 2 units up
vertex: (h,k) -> (1,2) it’s positive because it has to be the opposite
maximum/minimum: maximum
range: (-∞, ∞)
domain: y ≥2
Answer:C
Step-by-step explanation: there is no such thing as "cot"