Answer:
first u have to find the how many years,intrest then mutiply it first u have to multyply 560x7,00 then divide the years then simplyfy it
Step-by-step explanation:
brainly?
Answer:
(third opti0n)
Step-by-step explanation:
![(8 • {3}^{5} {)}^{ \frac{3}{4} }](https://tex.z-dn.net/?f=%288%20%E2%80%A2%20%20%7B3%7D%5E%7B5%7D%20%20%7B%29%7D%5E%7B%20%5Cfrac%7B3%7D%7B4%7D%20%7D%20)
![{8}^{ \frac{3}{4} } • ( {3}^{5} {)}^{ \frac{3}{4} }](https://tex.z-dn.net/?f=%20%7B8%7D%5E%7B%20%5Cfrac%7B3%7D%7B4%7D%20%7D%20%20%E2%80%A2%20%28%20%7B3%7D%5E%7B5%7D%20%20%7B%29%7D%5E%7B%20%5Cfrac%7B3%7D%7B4%7D%20%7D%20)
![= {8}^{ \frac{3}{4} } • {3}^{ \frac{15}{4} }](https://tex.z-dn.net/?f=%20%20%3D%20%7B8%7D%5E%7B%20%5Cfrac%7B3%7D%7B4%7D%20%7D%20%20%E2%80%A2%20%20%7B3%7D%5E%7B%20%5Cfrac%7B15%7D%7B4%7D%20%7D%20)
Answer:
![(3x^2 + 8)(x - 5)](https://tex.z-dn.net/?f=%283x%5E2%20%2B%208%29%28x%20-%205%29)
Step-by-step explanation:
Given
![3x^3 - 15x^2 + 8x - 40 = 3x^2(x - 5) + 8(x - 5)](https://tex.z-dn.net/?f=3x%5E3%20-%2015x%5E2%20%2B%208x%20-%2040%20%3D%203x%5E2%28x%20-%205%29%20%2B%208%28x%20-%205%29)
Required
Complete the factorization
![3x^3 - 15x^2 + 8x - 40 = 3x^2(x - 5) + 8(x - 5)](https://tex.z-dn.net/?f=3x%5E3%20-%2015x%5E2%20%2B%208x%20-%2040%20%3D%203x%5E2%28x%20-%205%29%20%2B%208%28x%20-%205%29)
When an equation is factorized as:
![a(b + c) + d(b + c)](https://tex.z-dn.net/?f=a%28b%20%2B%20c%29%20%2B%20d%28b%20%2B%20c%29)
The complete expression is:
![(a + d)(b + c)](https://tex.z-dn.net/?f=%28a%20%2B%20d%29%28b%20%2B%20c%29)
Apply this logic in ![3x^3 - 15x^2 + 8x - 40 = 3x^2(x - 5) + 8(x - 5)](https://tex.z-dn.net/?f=3x%5E3%20-%2015x%5E2%20%2B%208x%20-%2040%20%3D%203x%5E2%28x%20-%205%29%20%2B%208%28x%20-%205%29)
By comparison:
![a = 3x^2; b = x; c = -5; d = 8](https://tex.z-dn.net/?f=a%20%3D%203x%5E2%3B%20b%20%3D%20x%3B%20c%20%3D%20-5%3B%20d%20%3D%208)
So, we have:
![3x^3 - 15x^2 + 8x - 40 = (3x^2 + 8)(x - 5)](https://tex.z-dn.net/?f=3x%5E3%20-%2015x%5E2%20%2B%208x%20-%2040%20%3D%20%283x%5E2%20%2B%208%29%28x%20-%205%29)
Hence,
<em> is the complete factor</em>
Answer:
A = 32°, a = 19, b = 14, B=22.98°, C = 125.02°, c = 29.36
Step-by-step explanation:
We have two sides of the triangle and we have an angle.
A = 32 °, a = 19, b = 14
We use the sine theorem to find the angle B.
We know that according to the sine theorem it is true that:
![\frac{sin(A)}{a}=\frac{sin(B)}{b}=\frac{sin(C)}{c}](https://tex.z-dn.net/?f=%5Cfrac%7Bsin%28A%29%7D%7Ba%7D%3D%5Cfrac%7Bsin%28B%29%7D%7Bb%7D%3D%5Cfrac%7Bsin%28C%29%7D%7Bc%7D)
![\frac{sin(32\°)}{19}=\frac{sin(B)}{14}](https://tex.z-dn.net/?f=%5Cfrac%7Bsin%2832%5C%C2%B0%29%7D%7B19%7D%3D%5Cfrac%7Bsin%28B%29%7D%7B14%7D)
![sin(B)=14*\frac{sin(32\°)}{19}\\\\B=Arcsin(14*\frac{sin(32\°)}{19})\\\\B=22.98\°](https://tex.z-dn.net/?f=sin%28B%29%3D14%2A%5Cfrac%7Bsin%2832%5C%C2%B0%29%7D%7B19%7D%5C%5C%5C%5CB%3DArcsin%2814%2A%5Cfrac%7Bsin%2832%5C%C2%B0%29%7D%7B19%7D%29%5C%5C%5C%5CB%3D22.98%5C%C2%B0)
We know that the sum of the internal angles of a triangle is always equal to 180.
So:
![C=180-32-22.98\\\\C=125.02\°](https://tex.z-dn.net/?f=C%3D180-32-22.98%5C%5C%5C%5CC%3D125.02%5C%C2%B0)
Finally we find the c side
![\frac{sin(A)}{a}=\frac{sin(C)}{c}](https://tex.z-dn.net/?f=%5Cfrac%7Bsin%28A%29%7D%7Ba%7D%3D%5Cfrac%7Bsin%28C%29%7D%7Bc%7D)
![\frac{sin(32\°)}{19}=\frac{sin(125.02)}{c}](https://tex.z-dn.net/?f=%5Cfrac%7Bsin%2832%5C%C2%B0%29%7D%7B19%7D%3D%5Cfrac%7Bsin%28125.02%29%7D%7Bc%7D)
![0.02789=\frac{sin(125.02)}{c}](https://tex.z-dn.net/?f=0.02789%3D%5Cfrac%7Bsin%28125.02%29%7D%7Bc%7D)
![c=\frac{sin(125.02)}{0.02789}\\\\c=29.36](https://tex.z-dn.net/?f=c%3D%5Cfrac%7Bsin%28125.02%29%7D%7B0.02789%7D%5C%5C%5C%5Cc%3D29.36)
Answer:
you will know the answer by fractioning the 35and 55 then mutipy by 15 once you do that then it is the anwer you should get 5927.487
Step-by-step explanation: