9514 1404 393
Answer:
- |w -30| > 1.6
- (-∞, 28.4) U (31.6, ∞)
Step-by-step explanation:
1. The snack bags will be rejected if their weight differs from 30 grams by more than 1.6 grams:
|w -30| > 1.6
__
2. This inequality resolves to two inequalities.
w -30 > 1.6
w > 31.6 . . . . . add 30
and
-(w -30) > 1.6
w -30 < -1.6 . . . multiply by -1
w < 28.4 . . . . . add 30
The solution in interval notation is the union of the two disjoint intervals:
(-∞, 28.4) U (31.6, ∞)
Tan(15) = tan(45 - 30)
= [tan(45) - tan(30) ] / [ 1 + tan(30)tan(45)]
= (1 - 1/sqrt(3)) /(1 + 1/sqrt(3))
= (sqrt(3) - 1)/(sqrt(3) + 1)
= (sqrt(3) - 1)^2 /(3 - 1)
= 1/2 [3 + 1 - 2sqrt(3) ]
= (2 - sqrt(3) )
= 0.27 is your answer
Answer:
In the account that paid 6% Susan invest
In the account that paid 5% Susan invest
Step-by-step explanation:
we know that
The simple interest formula is equal to
where
I is the Final Interest Value
P is the Principal amount of money to be invested
r is the rate of interest
t is Number of Time Periods
Part a) account that paid 6% simple interest per year
in this problem we have
substitute in the formula above
Part b) account that paid 5% simple interest per year
in this problem we have
substitute in the formula above
we know that
substitute and solve for x
therefore
In the account that paid 6% Susan invest
In the account that paid 5% Susan invest
Answer:
I think its C if I’m wrong sorry
Step-by-step explanation: