Ratio in which Mr.Jeff divided his money between Jack and Jon = 4:2
Let us assume the common ration to be = x
The amount of money that Jon got = $1256
Then
2x = 1256
x = 1256/2
= 628
Then
The amount of money that Jon got = 4 * 628 dollars
= 2512 dollars
So the amount that Jack got is $2512. As Jack got the major or the bigger share of the money, so the answer is correct. I hope the procedure for solving the question is also easy for you to understand.
Answer:
21.25
Step-by-step explanation:
use the Pythagorean theorem, it is given that the shape is a rectangle so all opposite sides are congruent and all angles are right, since we know that the diagonal forms a right triangle we can use the pythagorean theorem
the Pythagorean theorm is a^2+b^2=c^2 where a and b are the legs (in this case the side of the triangle) and c is the hypotenuse which is the longest side in a right triangle
17^2+12.75^2=x^2
x^2=7225/16
now take the square root of both sides and you get -21.25 and 21.25
distance CAN NOT be negative so -21.25 isn't an option
The length of the rectangle is based on its width, so let's call width w and put the length in terms of the width. We are told that the width is 45 less than 4 times the width, so the length is 4w - 45. Area is found by multiplying length times width and we are given the area as 3325. So we will set up length times width and solve for w, which we will then use to solve for l. 3325 = (4w - 45)(w). Multiplying out we have 
. Move the constant over by subtraction and then we will have a quadratic that can be factored to solve for w. 
. We would put that through the quadratic formula to solve for w. When we do that we get that w = 35 and w = -23.75. The 2 things in math that will never EVER be negative is time and distance/length, so -23.75 is out. That means that the width is 35. The length is 4(35) - 45 which is 95. The dimensions of your rectangle are length is 95 and width is 35. There you go!
This is the concept of differential equations, given that
dp/dt=rp
then:
dp/p=rdt
thus:
ln p=rt+C
p=e^(rt+C)
P=Ke^(rt)
when t=210 days=7 months, p=2k
2k=k×e^(7r)
2=e^(7r)
ln2=7r
r=ln(2)/7
r=0.0990
