real numbers are any whole numbers (0,1,2,3)
rational numbers (0.24, 1.15, 1/2)
or irrational numbers (π<span>, √2,)
basically real numbers are any numbers you can think of.
real numbers are NOT imaginary numbers or infinity.
</span>
Note that c is the hypotenuse of the blue triangle, and that the Pyth. Thm. states that (length of one leg)^2 + (length of the other leg)^2 = (hyp)^2.
Therefore, (hyp)^2 = c^2 = [2sqrt(x^2+3x)]^2 + 3^2, or
= 4(x^2+3x) + 9, or
= 4x^2 + 12x + 9 = (2x+3)^2
Taking the sqrt of both sides, c = plus or minus (2x+3). Eliminate -(2x+3) because the middle term of the square of this would be negative, in conflict with the given +12x.
c=2x+3 is the correct answer.
2(3)+1=7 (New simplified numerator)
4(2)+1=9 (New simplified numerator)
7/2 x 9/4 = 63/8
simplest form would be 63/8
Current value of the boat = $45000
Rate at which the value decrease = 8.5%
Value decreased after 1 year = ![\frac{8.5}{100}\times45000=3825](https://tex.z-dn.net/?f=%5Cfrac%7B8.5%7D%7B100%7D%5Ctimes45000%3D3825)
Hence, value becomes = ![45000-3825=41175](https://tex.z-dn.net/?f=45000-3825%3D41175)
Value decreased after 2nd year =
![\frac{8.5}{100}\times41175=3499.875](https://tex.z-dn.net/?f=%5Cfrac%7B8.5%7D%7B100%7D%5Ctimes41175%3D3499.875)
Hence, value becomes = ![41175-3499.875=37675.125](https://tex.z-dn.net/?f=41175-3499.875%3D37675.125)
Value decreased after 3 year =
![\frac{8.5}{100}\times37675.125=3202.385](https://tex.z-dn.net/?f=%5Cfrac%7B8.5%7D%7B100%7D%5Ctimes37675.125%3D3202.385)
Hence, value becomes = ![37675.125-3202.385=34472.74](https://tex.z-dn.net/?f=37675.125-3202.385%3D34472.74)
So, value of the boat after 3 years becomes $34472.74
You plug in $67 for y because you need to find out what week you'll have $67 dollars in the account.