Answer:
distributive property of multiplication over addition
Step-by-step explanation:
The distributive property of multiplication over addition:
a(b + c) = ab + ac
You have
-4(x + 4) = -4x - 16
which is an application of that property.
Answer: distributive property of multiplication over addition
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
Answer:
422.39 sq cm
Step-by-step explanation:
Find the area of the circle and subtract the area of the rectangle from it.
Circle area: pi*12^2, 144pi sq cm
REctangle area: 10*3=30sq cm
144pi-30≈422.39
For sake of convenience, reverse the series, then it would be:
21,19,17.....7
a=21, d = -2,
s(4) = 4/2 (21+15)
s(4)=2(36)
s(4) = 72
Apply the Pyth. Theorem:
c^2 = 3^2 + 7^2, or c^2 = 9 + 49 = 58. Thus, c = sqrt(58).
