Bob makes his first $900 deposit into an IRA earning 7.6% compounded annually on his 24th birthday and his last $900 deposit on his $35th birthday (12 equal deposits in all). With no additional deposits, the money in the IRA continues to earn 7.6% interest compounded annually until Bob retires on his 65th birthday. How much is in the IRA when Bob retires?

Total amount = $150160.24

Step-by-step explanation:

The amount deposit by the Bob annually (annuity) = $900

Number of years for which annuity made = 12 years

Inerest rate = 7.6% or 0.076

After 35 years the amount grows at the rate of 7.6% till the age of 65, the total number of years = 30 years.

Now we have to find the total amount after 65 years.

Total amount = annuity [((1+r)^n – 1) / r] × (1+r)^n

Total amount = 900[((1+ 0.076)^12 – 1) / 0.076] × (1+ 0.076)^30

Total amount = $150160.24

if the eqn of the parabola is f(x) = (x-4)(x+2), we need to mult. this out to find the coordinates of the vertex.

then f(x) = x^2 + 2x - 4x - 8, and f(x) = x^2 - 2x - 8.

one way in which you can find the vertex is to calculate x = -b / (2a).   here, that comes to

        )

x = = 1.   f(1) = 1^2 - 2(1) - 8 = - 9.   vertex is at (1, -9).

        2(1) 

find another point on the curve:   let x=0, for which y=-8.   then (0, -8) is on the curve.   plot the vertex and this point and draw a smooth parabola thru both.

hope this

y > 1/3x

y < = -x + 4

hope this : )