So we know that the formula for the area of a rectangle is
.
Now both the length and width of the rectangle increase at 3 km/s, therefore,
![A(t) = (3t+l)*(3t+w). Since the initial length = initial width = 4 km, then the initial area = 16 [tex]km^2](https://tex.z-dn.net/?f=A%28t%29%20%3D%20%283t%2Bl%29%2A%283t%2Bw%29.%20Since%20the%20initial%20length%20%3D%20initial%20width%20%3D%204%20km%2C%20then%20the%20initial%20area%20%3D%2016%20%5Btex%5Dkm%5E2)
. We want to know the time when the area is four times its original area, therefore, our new formula is:
. Plugging in our known
values we have:
![64 [km^2] = (3t + 4 [km])*(3t + 4 [km])](https://tex.z-dn.net/?f=64%20%5Bkm%5E2%5D%20%3D%20%283t%20%2B%204%20%5Bkm%5D%29%2A%283t%20%2B%204%20%5Bkm%5D%29)
The area is four times its original area after <span>\frac{4}{3} s[/tex]</span>.
Answer:
31/20
Step-by-step explanation:
just cross multiply and add
(3x5 + 4x4) / 4x5
117÷6.5=18
Hope I helped you out :)
Home price is $245,000. There is no down payment mentioned.
I understand 20/4 as amortized over 20 years and balloon payment after 4 years.
Total cost would be = Balloon payment + Total monthly payment
4 years x 12 months = 48 months
Balloon payment = 216,789.79 x 1 mo = 216,789.79
Total monthly payment = 1,727.11 x 47 mos = 81,174.17
Total cost = 216,789.79 + 81,174.17 = 297,963.96
Answer:
x=12
Step-by-step explanation:
Before starting this question, you need to know that the total degree of any given triangle is 180 degrees.
Now looking at the question, we know one side is 90 degree since it is a right triangle.
180-90=90
This let us know that the remaining two angles will have to add up to equal to 90 degrees.
2x+1+5x+5=90
First, combine like terms.
7x+6=90
Now we have to get x by itself, subtract 6 on both sides then divide by 7.
7x=84
x=12
