Answer:
P = $183.14
Step-by-step explanation:
Given:
Rate of interest = 5% daily =0.05
Number of year = 14
Balance = $199,000
Computation:
Assume;
Number of days in a year = 365
199,000 = p[1+(0.05/365)]¹⁴⁽³⁶⁵⁾
199,000 = p[1+(0.001369)⁵¹¹⁰
199,000 = p[1086.59]
P = $183.14
Answer:
The fourth vertex is D(8, 0)
Step-by-step explanation:
Let A(0, 0), B(2, 4), and C(10, 4) be the three vertices of a parallelogram ABCD and let its fourth vertex be D(a, b).
Join AC and BD. Let AC and BD intersect at point O.
- We have known that the diagonals of a parallelogram bisect each other.
So, O would be the midpoint of AC as well as that of BD.
![A\left(0,\:0\right)=\left(x_1,\:x_2\:\right)](https://tex.z-dn.net/?f=A%5Cleft%280%2C%5C%3A0%5Cright%29%3D%5Cleft%28x_1%2C%5C%3Ax_2%5C%3A%5Cright%29)
![C\left(10,\:4\right)=\left(x_2,\:x_2\:\right)](https://tex.z-dn.net/?f=C%5Cleft%2810%2C%5C%3A4%5Cright%29%3D%5Cleft%28x_2%2C%5C%3Ax_2%5C%3A%5Cright%29)
The midpoint of AC is:
![\mathrm{Midpoint\:of\:}\left(x_1,\:y_1\right),\:\left(x_2,\:y_2\right):\quad \left(\frac{x_2+x_1}{2},\:\:\frac{y_2+y_1}{2}\right)](https://tex.z-dn.net/?f=%5Cmathrm%7BMidpoint%5C%3Aof%5C%3A%7D%5Cleft%28x_1%2C%5C%3Ay_1%5Cright%29%2C%5C%3A%5Cleft%28x_2%2C%5C%3Ay_2%5Cright%29%3A%5Cquad%20%5Cleft%28%5Cfrac%7Bx_2%2Bx_1%7D%7B2%7D%2C%5C%3A%5C%3A%5Cfrac%7By_2%2By_1%7D%7B2%7D%5Cright%29)
![\left(x_1,\:y_1\right)=\left(0,\:0\right),\:\left(x_2,\:y_2\right)=\left(10,\:4\right)](https://tex.z-dn.net/?f=%5Cleft%28x_1%2C%5C%3Ay_1%5Cright%29%3D%5Cleft%280%2C%5C%3A0%5Cright%29%2C%5C%3A%5Cleft%28x_2%2C%5C%3Ay_2%5Cright%29%3D%5Cleft%2810%2C%5C%3A4%5Cright%29)
![=\left(\frac{10+0}{2},\:\frac{4+0}{2}\right)](https://tex.z-dn.net/?f=%3D%5Cleft%28%5Cfrac%7B10%2B0%7D%7B2%7D%2C%5C%3A%5Cfrac%7B4%2B0%7D%7B2%7D%5Cright%29)
![=\left(5,\:2\right)](https://tex.z-dn.net/?f=%3D%5Cleft%285%2C%5C%3A2%5Cright%29)
The midpoint of BD is:
![=\left(\frac{a+2}{2},\:\frac{b+4}{2}\right)](https://tex.z-dn.net/?f=%3D%5Cleft%28%5Cfrac%7Ba%2B2%7D%7B2%7D%2C%5C%3A%5Cfrac%7Bb%2B4%7D%7B2%7D%5Cright%29)
so
∵ ![\frac{a+2}{2}=5](https://tex.z-dn.net/?f=%5Cfrac%7Ba%2B2%7D%7B2%7D%3D5)
![a+2=10](https://tex.z-dn.net/?f=a%2B2%3D10)
![a=8](https://tex.z-dn.net/?f=a%3D8)
∵ ![\frac{b+4}{2}=2](https://tex.z-dn.net/?f=%5Cfrac%7Bb%2B4%7D%7B2%7D%3D2)
![b+4=4](https://tex.z-dn.net/?f=b%2B4%3D4)
![b=0](https://tex.z-dn.net/?f=b%3D0)
Hence, the fourth vertex is D(8, 0)
Step-by-step explanation:
who reported you (for no reason)?
<h3>✽ - - - - - - - - - - - - - - - ~Hello There!~ - - - - - - - - - - - - - - - ✽</h3>
➷ -2x + 3 < 5
Subtract 3 from both sides:
-2x < 2
Divide both sides by -2 to isolate x:
x = -1
<h3><u>
✽</u></h3>
➶ Hope This Helps You!
➶ Good Luck (:
➶ Have A Great Day ^-^
↬ <u>ʜᴀɴɴᴀʜ</u> ♡
Answer:
F
Step-by-step explanation:
An absolute value is an operation that gives the positive value or distance of each number. For instance, |-3|=3 and |3|=3. A negative value is never given. Adding on 7 after performing this operation will never result in a -3 since negatives are impossible in this operation.