How much should you deposit at the end of each month in an ira that pays 8% compounded monthly to earn $80,000 per year from interest alone, while leaving the principal untouched, to be withdrawn at the end of each year after you retire in 40 years?

$276.10

Step-by-step explanation:

The balance required to generate $80,000 in annual interest must be determined first. 8% compounded monthly has an APY of ...

(1 +.08/12)^12 -1 ≈ 0.0829995 ≈ 8.3%

To generate $80,000 in interest, the balance must be ...

$80,000/0.0829995 ≈ $963,861.15

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We can use a financial calculator to find the monthly payment required have that balance after 40 years of payments earning interest at 8% compounded monthly. It tells us the payment amount is $276.10.

2 & 7

step-by-step explanation:

he climbs 300 ft/hr at a constant rate. the peak is at 1,500 ft.

when going up, he reaches 600 ft in 2 hours. remember, that he is going in a constant rate. divide 600 with 300:

600/300 = 2

assuming that he takes the same route back (meaning that it's a 1500 ft route back, you can solve.

note also that you are solving when he gets back to 600 ft after he reaches the peak.

first, find the amount of hours it takes to get up the peak. divide the total amount (1500), with the ft/her (300) to get the amount of hours (x):

1500/300 = x

x = 5

it takes jamie 5 hours to get up. now, he is returning down, and reaches 600 (his current destination). remember that he climbs at a constant 300 ft/hr. divide 600 with 300:

600/300 = x

x = 2

now add the two numbers together.

x = 5 + 2 = 7

jamie takes 7 hours to go up the mountain and reach his current position when descending.

(total amount/constant rate) = (time).

remember that it is a constant rate, so in total, when he gets back down the mountain, it will take the same amount of time as when he goes up. the total amount for the round trip is: 5 + 5 = 10.

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180-142=38 for the acute angle next to the entry

90+38=128

180-128=52

a=52

step-by-step explanation: