Answer:
The nominal annual interest rate is 15%.
The effective interest rate is 16.08%.
Step-by-step explanation:
$9,375 = $325 (P/A, i%, 36)(P/A, i%, 36)
= $9,375/$325= 28.846
From compound interest tables, i = 1.25%
Nominal Interest Rate= 1.25 x 12= 15%
Effective rate = (1+ (0.15/36))^36-1=1.004^36-1= 16.08%
Answer:
-9
Step-by-step explanation:
y = 8
x = -3
- 2(2-y)-x = ⇒ replace x and y with their values
- 2(2 - 8) - (-3) = ⇒ solve parenthesis
- 2(-6) + 3 = ⇒ multiply
- -12 + 3= ⇒ add
- - 9 ⇒ answer
Answer:
![D = 45+19*sin(\frac{\pi}{12}*t)](https://tex.z-dn.net/?f=D%20%3D%2045%2B19%2Asin%28%5Cfrac%7B%5Cpi%7D%7B12%7D%2At%29)
Step-by-step explanation:
The amplitude (A) and the mean (M) temperature are given by:
![A=\frac{64-26}{2}\\ A= 19\\M=\frac{64+26}{2}\\ M= 45\\](https://tex.z-dn.net/?f=A%3D%5Cfrac%7B64-26%7D%7B2%7D%5C%5C%20A%3D%2019%5C%5CM%3D%5Cfrac%7B64%2B26%7D%7B2%7D%5C%5C%20M%3D%2045%5C%5C)
The mean temperature, 45 degrees. occurs at midnight (t=0) and the frequency is f=24h. Therefore, the temperature D, in degrees, as a function of t, in hours, is:
![D = M+A*sin(\frac{2\pi}{24}*t)\\D = 45+19*sin(\frac{\pi}{12}*t)](https://tex.z-dn.net/?f=D%20%3D%20M%2BA%2Asin%28%5Cfrac%7B2%5Cpi%7D%7B24%7D%2At%29%5C%5CD%20%3D%2045%2B19%2Asin%28%5Cfrac%7B%5Cpi%7D%7B12%7D%2At%29)
The answer is C the whole shape it a rectangle the two triangles in it are going to be congruent.
Ok, basically if you want to find when both equations are equal just make them equal to each other. 0.925x^2 - 4x + 20 = -1.125x^2 + 6x + 40.
From there use algebraic steps to find out what x is ( the break - even point ).
0.925x^2 - 4x + 20 = -1.125x^2 + 6x + 40
0.855625x - 4x + 20 = 1.265625x + 6x + 40
-0.41x - 4x + 20 = 6x + 40
-4.41x + 20 = 6x + 40
20 = 10.41x + 40
-20 = 10.41x
-1.92122958694 = x
Rounded to the nearest tenth it's -1.9 = x.
Tell me if I got something wrong :)