Answer:
Step-by-step explanation:
We apply the formula .
Note that . Take and in the formula above to get
Then the value of this expression is
We can use the cosine addition formula again to simplify further. Decompose the fraction in the argument as:
Applying the formula with and we obtain
We conclude that this expression has the value
(answer is 17,680.) 24*30=720 40*40=1600 720+1600=2320. 100*200=20,000. 20,00-2320=17,680.
Answer:
a). Nadia made a total of $825 last week in commission sales
b). The total amount Nadia in commission in 2011=$42,900
Step-by-step explanation: Step 1
Express the amount in commission she earns from her sales as follows;
C=S×r
where;
C=commission earned
S=total value of stock sales
r=commission rate
In our case;
C=unknown
S=$7,500
r=11%=11/100=0.11
replacing;
C=11% of 7,500
C=(11/100)×7,500
C=0.11×7,500=825
Nadia made a total of $825 last week in commission sales
b). To express the total amount she made in 2011, we derive the formula below;
Total amount (2011)=Average weekly commission×number of weeks in 2011
where;
Average weekly commission=$825
number of weeks in 2011=52
replacing;
Total amount (2011)=(825×52)=42,900
The total amount Nadia in commission in 2011=$42,900