Answer:
Step-by-step explanation:
The purple circle, not ring is pi 7 squared = 153.93804
Then subtract the smaller circles area (pi 4 squared) = 153.9... - 103.6725576 =
50.2654824
Purple ring is 50.2654824
The entire circle is 4+3+3 (10) squared times pi = 314.1592654
( 50.2654824 / 314.1592654 ) x 100 = 15.999999998 %
Answer:
Step-by-step explanation:
5 is the base
2 is the exponent
<u>Answer:</u>
The yield to maturity of the bonds is 11%
<u>Explanation:</u>
Price at which the bonds is currently trading = 283.30$
Face Value = $1000
Coupon rate = 2%
Hence the coupon bond rate = $1000 ×2%
= 
=$20
Years to maturity: 20 years
Formula used:
=
Where C is the bond coupon rate
F is the face value
P is the price
N is the number of years
=
=11%
The yield to maturity of the bonds is 11%
9514 1404 393
Answer:
1240 in³
Step-by-step explanation:
The overall dimensions of the block are ...
10 in by 11 in by 17 in
The volume of that space is ...
V = LWH = (10 in)(11 in)(17 in) = 1870 in³
The volume of each of the three identical holes is similarly found:
V = (10 in)(3 in)(7 in) = 210 in³
Then the volume of the block is the overall volume less the volume of the three holes:
= 1870 in³ - 3(210 in³) = 1240 in³
Answer:
78
Step-by-step explanation:
The tricky part of this is figuring out how to assign the unknowns. We are told that we are working with two consecutive even integers. Consecutive means "next to" or "in order" and sum means to add. If we use 2 and 4 as examples of our 2 consecutive even integers and assign x to 2, then in order to get from 2 to 4 we have to add 2. So the lesser of the 2 integers is x, and the next one in order will be x + 2. (2 and 4 are just used as examples; they mean nothing to the solving of this particular problem. You could pick any 2 even consecutive integers and find the same rule applies. All we are doing here with the example numbers is finding a rule for our integers.) Now we have the 2 expressions for the integers, we will add them together and set the sum equal to 158:
x + (x + 2) = 158
The parenthesis are unnecessary since we are adding, so when we combine like terms we get
2x + 2 = 158 and
2x = 156 and
x = 78
That means that the lesser of the 2 integers in 78, and the next one in order would be 80, and 78 + 80 = 158
