Answer:
W ≈ 5.2 cm
Step-by-step explanation:
Represent the length and width by L and W respectively.
Then L * W = 81 cm^2, and L = 3W.
Substituting 3W for L in the first equation, we get:
3W * W - 81 = 0, or 3W^2 - 81 = 0.
To make it easier to find the final answer, rewrite 3W^2 - 81 = 0 as
81
W^2 = ------- = 27
3
Then W (the width) is the positive square root of 27, or W ≈ 5.2 cm
Since there are is not a product of known factors your best option is to leave it like this:
i√17
Eq. of line through (1,2) and (4,5) is
![y-y1= \frac{y2-y1}{x2-x1} (x-x1), y-2= \frac{5-2}{4-1} (x-1)](https://tex.z-dn.net/?f=y-y1%3D%20%5Cfrac%7By2-y1%7D%7Bx2-x1%7D%20%28x-x1%29%2C%0Ay-2%3D%20%5Cfrac%7B5-2%7D%7B4-1%7D%20%28x-1%29)
![y-2= \frac{3}{3} (x-1) y-2=x-1 y-2-x+1=0 y-x-1=0](https://tex.z-dn.net/?f=y-2%3D%20%5Cfrac%7B3%7D%7B3%7D%20%28x-1%29%0Ay-2%3Dx-1%0Ay-2-x%2B1%3D0%0Ay-x-1%3D0)
x-y+1=0
Answer:
$38250
Step-by-step explanation:
Given data
P= $340,000
t= 30-year,
r1= 6.475%
r2= 6.85%
For r1
A= P(1+rt)
A= 340,000(1+0.06475*30)
A= 340,000(1+1.9425)
A= 340,000*2.9425
A= $1000450
For r2
A= P(1+rt)
A= 340,000(1+0.0685*30)
A= 340,000(1+2.055)
A= 340,000*3.055
A= $1038700
The difference is '
= 1038700-1000450
=$38250