The equations
![2x^2+9x-5=0](https://tex.z-dn.net/?f=2x%5E2%2B9x-5%3D0)
and
![2\left(t-\dfrac12\right)^2+9\left(t-\dfrac12\right)-5=0](https://tex.z-dn.net/?f=2%5Cleft%28t-%5Cdfrac12%5Cright%29%5E2%2B9%5Cleft%28t-%5Cdfrac12%5Cright%29-5%3D0)
are really the same, we're just setting
, or
.
![2x^2+9x-5=(2x-1)(x+5)=0\implies x=\dfrac12,x=-5](https://tex.z-dn.net/?f=2x%5E2%2B9x-5%3D%282x-1%29%28x%2B5%29%3D0%5Cimplies%20x%3D%5Cdfrac12%2Cx%3D-5)
So we get
![t=\dfrac12+\dfrac12=1,t=-5+\dfrac12=-\dfrac92](https://tex.z-dn.net/?f=t%3D%5Cdfrac12%2B%5Cdfrac12%3D1%2Ct%3D-5%2B%5Cdfrac12%3D-%5Cdfrac92)
1/4 (v - 7) = 2
1/4v - 1/4 (7/1) = 2
1/4v - 7/4 = 2
1/4v = 15/4
Multiply by 4/1 on both sides to get v
(4/1) 1/4v = 15/4 (4/1)
v = 60/4
v = 15
We need to use the formula for simple interest which is
I= prt
Where I is the amount of money you earned or pay in interest
p is the principal, the amount you deposited or borrowed
r is the interest rate expressed as a decimal
t is time in terms of years
In this problem, I= 1,680
p= 3000
t= 8
'. r is what we are looking for.
Substituting the numbers into the simple interest formula, we get
I=. p r t
1,680=(3000)(r)(8). Multiplying
1,680= 24,000r Divide both sides by 24,000
0.07= r
So, the percentage is (0.07)(100)= 7%...
The area is 21cm squared. u would have to find the length of the bottom triangle which is 14. than multiply that by the height which is 3. finally divide that all by 2 and youll get the area