Answer:
A) Total weekly salary = $1000 + ( 0.05 × s )
B) Yes this is a function
C) This is a function because the weekly salary is dependent on the number of sales 's'. Hence, total weekly salary is a function of sales.
D) Domain will be [ 0, ∞ ]
Step-by-step explanation:
Given :
Weekly salary = $1000
Commission = 5% of all her sales
Let the number of sales be 's'
thus,
A) Total weekly salary = $1000 + ( 0.05 × s )
B) Yes this is a function
C) This is a function because the weekly salary is dependent on the number of sales 's'. Hence, total weekly salary is a function of sales.
D) The domain here will be all the possible values of sales i.e 's'
Hence,
sales will always be positive
thus,
domain will be [ 0, ∞ ]
Answer:
2x=-1 or x=-0.5
Step-by-step explanation:
4x-6=10x-3 (-4x)
-6=6x-3 (+3)
-3=6x (divide by 3)
-1=2x
Mixture problem.
Ratio of 20% : 50% acids
=50-39 : 39-20
=11:19
total volume
=400L
vol. of 20% acid=400*(11/(11+19)=400*(11/30)=146.667 L
vol. of 50% acid=400*(19/(11+19)=253.333 L
Alternatively, use c=volume of 20%, d=vol of 50%
then
0.2c+0.5d=400*0.39
Since c+d=400, we have
0.2c+0.5(400-c)=400*0.39=156
solve for c:
0.3c=44
c=146.667 and d=400-c=253.333 as before.
In order to maintain the similarity, both x and y has to be amplified by the same ratio
So A will be correct