<u>Answer:</u>
Total Volume of composite figure = 635.2 cm³
<u>Steps:</u>
CV = h×3.14×(d/2)²
CV = 5×3.14(8/2)²
CV = 5×3.14(4)²
CV = 5×3.14×16
CV = 5×50.24
CV = 251.2 cm³
RV = h×w×l
RV = 4×8×12
RV = 4×96
RV = 384 cm³
TV = CV + RV
TV = 251.2 + 384
TV = 635.2 cm³
For this case we have the following function:
By definition, the average rate of change is given by:
We evaluate the function for the given values:
For x = 7:
For x = 14:
Then, replacing values we have:
Answer:
the average rate of change from x = 7 to x = 14 is:
a. 23.22
A. The volume is 8 times more
b. The volume is 27 times more
c. The volume is 64 times more
Answer: B. The stocks have a yield 6.84 percentage points greater than that of the bonds.
Step-by-step explanation:
Firstly, the yield for stocks will be calculated as:
= return/ investment cost
= $3.15/$ 21.38
= 0.14733395
= 14.73%
The yield for bonds will be calculated as:
= Return/Investment cost
Return = 1,000 x 8.3% = 83
Investment cost = 1,000 x 105.166/100 = 1051.66
Yield = 83/1051.66
= 0.07892284
= 7.89%
Then, the difference between the yield will be:
= 14.73% - 7.89%
= 6.84%
Therefore, the stocks have a yield 6.84 percentage points greater than that of the bonds.
Find a common multiple in between the denominators.
10 and 3 and 5 -> the least common multiple is 30.
Change all the denominators to 30 by multiplying the top and bottom by the same number.
9/10=27/30
1/3=10/30
1/5=6/30
Subtract!
27/39-10/30-6/30=11/30
The answer is 11/30
Hope this helps!
