Answer:
6%
Step-by-step explanation:
We have to calculate the interest rate in the note, we must follow the following steps, calculate the amount of time remaining from the year 2021, as follows:
interest is for 5 months i.e. from Aug 01 to Dec 31 for year 2021
, so it means it would be 5/12 months.
We have to calculate the interest as follows:
I = P * R * T
We replace:
200 = 8000 * R * 5/12
we solve for R
200 * 12/5 = 8000 * R
R * 8000 = 480
R = 480/8000
R = 0.06
Which means that the interest rate on the note is 6%
Answer:
10 sorry if i'm wrong
Step-by-step explanation:
X is the number of hours studied, so replace x with 3 in the equation:
y = 6.8(3) + 60
y = 20.4 + 60
y = 80.4
Round down to 80.
The answer would be A.
<u>Complete Question:</u>
Janeel has a 10 inch by 12 inch photograph. She wants to scan the photograph, then reduce the results by the same amount in each dimension to post on her Web site. Janeel wants the area of the image to be one eight of the original photograph. Write an equation to represent the area of the reduced image. Find the dimensions of the reduced image.
<u>Correct Answer:</u>
A) ![(10-x)(12-x)=15](https://tex.z-dn.net/?f=%2810-x%29%2812-x%29%3D15)
B) Dimensions are : Length = 10-x = 3 inch , Breadth = 12-x = 5 inch
<u>Step-by-step explanation:</u>
a. Write an equation to represent the area of the reduced image.
Let the reduced dimensions is by x , So the new dimensions are
![length=10-x\\breadth=12-x](https://tex.z-dn.net/?f=length%3D10-x%5C%5Cbreadth%3D12-x)
According to question , Area of new image is :
⇒ ![Area = \frac{1}{8}Length(breadth)](https://tex.z-dn.net/?f=Area%20%3D%20%5Cfrac%7B1%7D%7B8%7DLength%28breadth%29)
⇒ ![Area = \frac{1}{8}(10)(12)](https://tex.z-dn.net/?f=Area%20%3D%20%5Cfrac%7B1%7D%7B8%7D%2810%29%2812%29)
⇒ ![Area = 15](https://tex.z-dn.net/?f=Area%20%3D%2015)
So the equation will be :
⇒ ![(10-x)(12-x)=15](https://tex.z-dn.net/?f=%2810-x%29%2812-x%29%3D15)
b. Find the dimensions of the reduced image
Let's solve : ![(10-x)(12-x)=15](https://tex.z-dn.net/?f=%2810-x%29%2812-x%29%3D15)
⇒ ![120-10x-12x+x^2=15](https://tex.z-dn.net/?f=120-10x-12x%2Bx%5E2%3D15)
⇒ ![120-22x+x^2=15](https://tex.z-dn.net/?f=120-22x%2Bx%5E2%3D15)
⇒ ![x^2-22x+105=0](https://tex.z-dn.net/?f=x%5E2-22x%2B105%3D0)
By Quadratic formula :
⇒ ![x = \frac{-b \pm \sqrt{b^2-4ac} }{2a}](https://tex.z-dn.net/?f=x%20%3D%20%5Cfrac%7B-b%20%5Cpm%20%5Csqrt%7Bb%5E2-4ac%7D%20%7D%7B2a%7D)
⇒ ![x = \frac{22 \pm8 }{2}](https://tex.z-dn.net/?f=x%20%3D%20%5Cfrac%7B22%20%5Cpm8%20%7D%7B2%7D)
⇒ ![x = \frac{22 +8 }{2} , x = \frac{22 -8 }{2}](https://tex.z-dn.net/?f=x%20%3D%20%5Cfrac%7B22%20%2B8%20%7D%7B2%7D%20%2C%20x%20%3D%20%5Cfrac%7B22%20-8%20%7D%7B2%7D)
⇒
x = 15 is rejected ! as 15 > 10 ! Side can't be negative
⇒ ![x =7](https://tex.z-dn.net/?f=x%20%3D7)
Therefore, Dimensions are : Length = 10-x = 3 inch , Breadth = 12-x = 5 inch
6 times 4 equals 24 that is the answer for this problem because it says that Ben is 4 times older than ishaan and he is 6