Answer:
If the time passed is only 3 months, then it is $2040
Step-by-step explanation:
We can use the quarterly compounded interest equation for this problem: P(1 + r/n)^nt
Step 1: Find out how much 3 months is in a year
<em>In this case, 3/12 which is 1/4</em>
Step 2: Plug in known variables into equation
2000[1 + (0.08)/4)]^[(4)(1/4)]
Step 3: Solve/Plug in calc
You will get $2040
If the time passed in the problem is 1 year, then we can be able to solve how much money he earned per quarter. However, since only 3 months have elapsed, then he has only earned $2040.
Answer:
A = 5/12 x^2
Step-by-step explanation:
A = 1/2 bh
The base is 5/6x and the height is x
A = 1/2 (5/6x) *x
A = 5/12 x^2
Segment in the direction from A to C
Initial Point: A=(9,5)=(xa,ya)→xi=xa=9, yi=ya=5
Final point: C=(-7,1)=(xc,yc)→xf=xc=-7, yf=yc=1
B=(xb,yb)=?
Proportion: r=AB/BC=3:1=3/1→r=3
xb=(xi+r*xf)/(1+r)
Replacing xi=xa=9, xf=xc=-7 and r=3
xb=[9+3*(-7)]/(1+3)
xb=(9-21)/4
xb=(-12)/4
xb=-3
yb=(yi+r*yf)/(1+r)
Replacing yi=ya=5, yf=yc=1 and r=3
yb=[5+3*(1)]/(1+3)
yb=(5+3)/4
yb=8/4
yb=2
B=(xb,yb)→B=(-3,2)
Answer: B=(-3,2)
A. You can factor it to those terms
