You want to calculate the interest on $30000.00 at 6% interest per year after 20 year(s).
The formula we'll use for this is the simple interest formula, or:
Where:
P is the principal amount, $30000.00.
r is the interest rate, 6% per year, or in decimal form, 6/100=0.06.
t is the time involved, 20....year(s) time periods.
So, t is 20....year time periods.
To find the simple interest, we multiply 30000 × 0.06 × 20 to get that: The interest is: $36000.00
Usually now, the interest is added onto the principal to figure some new amount after 20 year(s),
or 30000.00 + 36000.00 = 66000.00. For example:
If you borrowed the $30000.00, you would now owe $66000.00
If you loaned someone $30000.00, you would now be due $66000.00
If owned something, like a $30000.00 bond, it would be worth $66000.00 now.
Answer:
- length 100 ft
- height 30 ft
Step-by-step explanation:
The center is 40 ft from the focus, so the wall is 40+10 = 50 ft from the center. From wall to wall must be 2×50 ft = 100 ft.
The length is 100 ft.
__
Assuming the gallery has an elliptical vertical cross section, the distance from the focus to the center ceiling is the same as half the length of the gallery, so we can use the Pythagorean theorem to find the height:
50² = 40² + h²
h = √(2500 -1600) = √900 = 30
The height of the ceiling at the center is 30 feet.
_____
<em>Comment on the geometry</em>
We expect the gallery to have an elliptical floor plan, rather than an elliptical vertical cross section. In the latter case, the focus would have to be above the floor for it to work, so the ceiling at center would have to be higher than 30 ft. by the distance that the focus is above the floor.
This would basically be :
5 1/3 - 3 9/18
Then, make both fractions share a common denominator
5 6/18 - 3 9/18
Then, change the first number to make it compatible to subtract
4 24/18 - 3 9/18 = 1 15/18
Simplify
1 15/18 = 1 5/6
So I would do 588 times 1/3 and that would be 196. So the length is 196 feet
In a right triangle the sum of the squares of the lengths of two shorter sides is equal to the square of the length of the longest side.
a.
b.
c.
The answer is A and C.