In 1980, Jack and Dianne began planning for their retirement in 2025. Jack makes monthly payments of $255 into an annuity paying 5.4% annual interest and Dianne makes monthly payments of $275 into a 403B which pays 4.5% annual interest.
a) In 1994, whose plan had more money in it?
I
b) What will be the value of Jack's retirement plan in 2025 when he retires? $
c) What will be the value of Dianne's retirement plan in 2025 when she retires? $
d) When (what year and what month) will Jack and Dianne have the same amount in their retirement plans? (Hint: graph each function and find
the intersection)

This can be solved by equating the future value of the payment F1, and the future value of the annuity F2, after n=12*15=180 months.

i is the monthly interest.

P=payment of 90000

A=monthly amount of 850

F1=P(1+i)^n=90000(1+i)^180

F2=A*((1+i)^n-1)/i=850((1+i)^180-1)/i

equate F1=F2 and solve for i (only unknown) by trial and error, fix-point iteration or Newton's method to get i=0.00650439,or 0.650439%

The monthly interest rate is 0.650439%.

Therefore the APR=12*i=7.805271%, or the effective interest rate is

(1+i)^12-1=8.09064%

Step-by-step explanation:

i need help with something also i need help with a science test and 2 questions i really need help bad

it 2

step-by-step explanation:

8^1/3=2

-3

step-by-step explanation:

a drawing really does here:

so i draw the horizontal line y=2 and the vertical line x=-2 at this intersection i put b (this is where my right angle is going to be).   so point b is at (-2,2).   point a is 5 units long and is also on y=2 so this point has to be (3,2) or (-7,2) -doesn't matter i will go with (3,2).

now we know c is at (-2,y) we don't know the y yet bet we know that c is on x=-2.

we have the area of the triangle is .5bh=12.5

we know the base length is 5 (ab)

we have the height is (2-y) if you look at your

plug in

.5(5)(2-y)=12.5

solve for y to get the y-coordinate for c

2.5(2-y)=12.5

divide both sides by 2.5 giving:

2-y=5

now subtract 2 on both sides

-y=3

y=-3