Answer:
PT 1: C
PT 2: B
Step-by-step explanation:
In order to find the volume of a cone use equation

To find the volume of a cylinder use equation

Answer:
So the portion of the loan lent at 4% is 21000(0.5955) = $12,505.5
And the portion of the loan lent at 15% is 21000(0.4045) = $8494.5
Step-by-step explanation:
This problem can be solved in several ways. The way I like is as follows.
Ask yourself at what interest would $ 21,000 yield and interest of $ 2,215 in one year ? The equation to solve is:
21000(P) = 2215
P = 0.1055 or 10.55 %
This number is a weighed average of the 4% yield and the 15% yield so the next equation to solve is
10.55 = 4(1 – X) + 15X
Where X is the proportion of the loan given at the indicated interest. So
10.55 = 4 – 4X + 15X
6.55 = 11X
X = 0.5955
1-X = 0.4045
So the portion of the loan lent at 4% is 21000(0.5955) = $12,505.5
And the portion of the loan lent at 15% is 21000(0.4045) = $8494.5
Hundreds, just count the place value from the right and go from there and work your way to the left.
ones, hundreds, thousands, ten thousands, etc // you only use 'ths' at the end if it's before a decimal
Answer:
a) n = 14
b) m∠A = 56°
Step-by-step explanation:
add all terms together and set equal to 360
Answer:
6 students are taking all three
20 students are taking none.
Step-by-step explanation:
Please check image attached.
From the total of 33 that are taking Arabic, 14 only take Arabic and 13 take Arabic and Bulgarian (b + d), so the students that take only Arabic and Chinese together is:
a = 33 - 14 - 13 = 6
From the total of 39 that are taking Bulgarian, 19 only take Bulgarian and 13 take Arabic and Bulgarian, so the students that take only Bulgarian and Chinese together is:
c = 39 - 19 - 13 = 7
Now, from the total of 40 that are taking Chinese, 21 only take Chinese, 6 take only Arabic and Chinese and 7 take only Bulgarian and Chinese, so the number of students that take all three languages is:
d = 40 - 21 - 6 - 7 = 6 students
The number of students that take any language is 14 + 19 + 21 + 6 + 7 + 13 = 80 students, so 100 - 80 = 20 students take none of the three languages