Each semiannual payment is (1/2)*.0545*$1000 = $27.25. There are 2*30 = 60 such payments in 30 years. After 6 payments, there will be 54 left.
a) The value of Tristan's bond is $1238.08
b) The value of Tristan's bond is $926.91
We can see that revolving the region formed by intersecting 3 lines, we will get 2 cones that are connected their bases.
Volume of the cone V=1/3 *πr²*h
1) small cone has r=5, and h=5
Volume small cone V1= 1/3 *π*5²*5 = 5³/3 *π
2) large cone has r=5, and h=21-6=15, h=15
Volume large cone V2= 1/3 *π*5²*15 = 5³*π
3) whole volume
5³/3 *π + 5³*π=5³π(1/3+1)=((5³*4)/3)π=(500/3)π≈166.7π≈523.6
Area
we see 2 right triangles,
Area of the triangle=1/2*b*h, where b -base, h -height
1) small one, b=5, h=5
A1=(1/2)*5*5=25/2
2)large one, b=5, h=15
A2=(1/2)*5*15=75/2
3)
whole area=A1+A2=25/2+75/2=100/2=
50
Answer:
8 9.8 - 6.4n
9 15 - j/2
Step-by-step explanation:
8
2.8 - 4.4n - 2n +7
= 2.8+7 -4.4n -2n
= 9.8 - 6.4n
9
11 + (-3) - 1/8 j - 3/8 j +7
= 11 - 3 - 1/8 j - 3/8 j + 7
= 11 - 3 + 7 - 1/8 j - 3/8 j
= 15 - 4/8 j
= 15 - j/2
<span>Based on the attached image, the interior angle A of the polygon in the figure equal 110 degrees. If you can see the image the angle A is equal to the angle on the other side. The angle A is an example of obtuse angle because has the size of more 90 degrees and less than 180 degrees. All the angles in the image are obtuse except the one angle in the top that measures 50 degrees.</span>
<span>square pyramid</span>
V=b² h/3------------ >12=9*h/3------------ >h=12/3---- >h=4
the answer is h=4 feet