How much money will I need to have at retirement so I can withdraw $60,000 year for 20 years from an account earning 8% compounded annually? a) How much do you need in your account at the beginning b)How much total money will you pull out of the account? c) How much of that money is interest?

a) $ 589,088.84

b) $ 1,200,000

c) $ 610,911.16

Step-by-step explanation:

We have that the time is 20 years and a rate of 8%, that is to say 0.08

We solve each point:

a) How much do you need in your account at the beginning, we can calculate it using the present value:

PV = 60000 * (1 - (1 + 0.08) ^ - 20) /0.08

PV = 589088.84

In other words, you need in your account at the beginning $ 589,088.84

b) How much total money will you pull out of the account?

Total money would be:

20 * 60000 = 1200000

In other words, the total money will be $ 1,200,000

c) How much of that money is interest?

It is the subtraction of the total money and the one that you need in your account at the beginning, that is:

1200000 - 589088.84 = 610911.16

In other words, $ 610,911.16 would be in interest

The sun produces 3.9 ⋅ 10^33 ergs of radiant energy per second.
How many ergs the sun produce in 3.25 ⋅ 10^3 seconds

3.9 ⋅ 10^33 x 3.25 ⋅ 10^3
= (3.9 x 3.25)(10^33 x 10^3)
= 12.675 x 10^36
= 1.2675 x 10^37

answer
1.2675 x 10^37 ergs of radiant energy the sun produce in 3.25 ⋅ 10^3 seconds