Answer:
$13,795
Step-by-step explanation:
15500/x=100/11
(15500/x)*x=(100/11)*x - we multiply both sides of the equation by x
15500=9.0909090909091*x - we divide both sides of the equation by (9.0909090909091) to get x
15500/9.0909090909091=x
1705=x
x=1705
now we have:
11% of 15500=1705
Answer:
square inches.
Step-by-step explanation:
<h3>Area of the Inscribed Hexagon</h3>
Refer to the first diagram attached. This inscribed regular hexagon can be split into six equilateral triangles. The length of each side of these triangle will be
inches (same as the length of each side of the regular hexagon.)
Refer to the second attachment for one of these equilateral triangles.
Let segment
be a height on side
. Since this triangle is equilateral, the size of each internal angle will be
. The length of segment
.
The area (in square inches) of this equilateral triangle will be:
.
Note that the inscribed hexagon in this question is made up of six equilateral triangles like this one. Therefore, the area (in square inches) of this hexagon will be:
.
<h3>Area of of the circle that is not covered</h3>
Refer to the first diagram. The length of each side of these equilateral triangles is the same as the radius of the circle. Since the length of one such side is
inches, the radius of this circle will also be
inches.
The area (in square inches) of a circle of radius
inches is:
.
The area (in square inches) of the circle that the hexagon did not cover would be:
.
Answer:
$34,300
Step-by-step explanation:
First, we need to find how much interest is earned in one month : 7,000 * 6.5% = 455
455 is how much you gain monthly, multiply that by 12 to find the annual interest so 455 * 12 = 5,460
You then multiply that number by 5 to find the interest of the span of the 5 years
5,460 * 5 = 27,300
You add the original number to the interest with 27,300 + 7,000 = 34,300 in the account
Answer A is correct because the straight line is called a parallel line
Of 5 out of 12 (5/12) are sports games and 3 out of 12 (3/12) are educational, then you would add these together because you need a total for both because it would include one or the other, so both.
5/12 + 3/12= 8/12 or 2/3 are one or the other.