Answer:
L(18, 20)
Step-by-step explanation:
In JL, K is the midpoint. The coordinates of J are (2, 2), and the
coordinates of K are (10, 11). What are the coordinates of L?
Solution:
If O(x, y) is the midpoint between two points A(
) and B(
). The equation to determine the location of O is given by:

Since JL is a line segment and K is the midpoint. Given the location of J as (2, 2) and K as (10, 11). Let (
) be the coordinate of L. Therefore:


Therefore L = (18, 20)
Answer:
Step-by-step explanation:
812.5 inches
Turn these numbers into fractions:
Solve 900/72 to get 12.5. This means that multiplying 72 x 12.5, you get 900. So, to find the height of the tree: h you multiply 65 x 12.5. Your answer to this is 812.5.
Hope it helps!
You will at 7 to both sides and then divide 2 on both sides to find x. :)
2x-7=3
+7=+7
—————
2x = 10
— —-
2 2
X = 5
Answer:
- <u>The rate of return is 8.15%</u>
- <u>This is a good investment</u>
<u></u>
Explanation:
For the first question, you need to find the rate that makes the present value of a stream of ten constant annual payments of $15,000 equal to the $100,000 investment.
The formula that returns the present value of a constant payment is called the annuity formula and is:
![Present\text{ }value=payment\times \bigg[\dfrac{1}{r}-\dfrac{1}{r(1+r)^t}\bigg]](https://tex.z-dn.net/?f=Present%5Ctext%7B%20%7Dvalue%3Dpayment%5Ctimes%20%5Cbigg%5B%5Cdfrac%7B1%7D%7Br%7D-%5Cdfrac%7B1%7D%7Br%281%2Br%29%5Et%7D%5Cbigg%5D)
In your problem you know:
- Present value: $100,000
- payment: $15,000
- r: ?
- t: 10
You cannot solve for r directly. You must guess a value and calculate the right side of the equation until to you find the rate that makes it equal to 100,000.
Try 5%:
![\$15,000\times \bigg[\dfrac{1}{0.05}-\dfrac{1}{0.05(1+0.05)^{10}}\bigg]=\$115,826](https://tex.z-dn.net/?f=%5C%2415%2C000%5Ctimes%20%5Cbigg%5B%5Cdfrac%7B1%7D%7B0.05%7D-%5Cdfrac%7B1%7D%7B0.05%281%2B0.05%29%5E%7B10%7D%7D%5Cbigg%5D%3D%5C%24115%2C826)
Then, the rate of return is greater than 5%. After several trials you will find that the rate of return is 8.15%.
Since this rate is higher than 8%, which is what the company requires, this is a good investment.