Answer:
Step-by-step explanation:
The following is the logarithm quotient rule:

Plugging in the values we have above gives us the following:



Answer:
Step-by-step explanation:
(a)
Total cost = (7 items * Cost per item) + Shipping fee = 7*6.5 + 8.5 = $54
(b)
Modelling the above equation with symbols:
c = s*6.5 + 8.5 = 6.5s + 8.5
(c)
For a total cost of 80$, c = 80:
80 = 6.5s + 8.5
Calculating, we get:
s = 11 items
Rachel ordered a total of 11 items
Given: Car insurance premium in a first half year = $958
Car insurance premium in the second half year = $958
Total Car insurance premium in year = 2 × $958 = $ 1916
Nature of paid premium is bi-weekly = in 2 weeks
There are total 52 weeks in a year.
So, the total number of bi-week = 26
Total deposited amount per bi-weekly = $ 1916 ÷ 26 =$ 73.69 ≈ $ 74
Hence, the required amount bi-weekly will be $ 74. Therefore, option b. $ 74 is the correct option.
Answer:
79.2 tons
Step-by-step explanation:
What must be done is to apply a proportion rule, taking into account what happened in the registry and what is wanted for this new year. In the following way we can calculate the amount of tons of oranges.
Powder concentrate Oranges
45 tons -------------------------> 54 Tons
66 tons -------------------------> X Tons
X = 66 * 54/45
X = 79.2, that is to say that 79.2 tons are necessary to produce 66 tons of powder concentrate to make juice.
Answer:
20.
Step-by-step explanation:
This can be solved using combination technique. Since we have to choose 3 out of 6 and their order is not considered. Thus,
6 combination 3
= 6C3
= 
= 
= 
= 
= 5*4
= 20 ANSWER