Logan starts an IRA (Individual Retirement Account) at the age of 28 28 to save for retirement. He deposits $400 $ ⁢ 400 each month. Upon retirement at the age of 65 65 , his retirement savings is $1,161,278.01 $ ⁢ 1,161,278.01 . Determine the amount of money Logan deposited over the length of the investment and how much he made in interest upon retirement.

A) Total amount deposited over the length of investment = $177600

B) Interest accrued upon retirement = $1,043,678.01

Step-by-step explanation:

From the question, we can see that he started the savings at the age of 28 and ended when he retired at the age of 65. Thus, number of years = 65 - 28 = 37 years

We are told he deposited $400 each month and that upon retirement it had grown to $1,161,278.01.

Since he deposited $400 each month, in a year which has 12 months, he deposited;

Amount deposited each year = 12 × 400 = $4800

Now, it took 37 years before he retired which was the point at which he stopped the deposit.

Thus;

Total Amount deposited upon retirement = Amount deposited each year × number of years he deposited.

Thus;

Total amount deposited over the length of investment upon retirement = 4800 × 37 = $177600

Now,we have seen that his retirement savings reads $1,161,278.01.

Thus is way more than the deposits he made throughout his work years.

This means there was interest on the money.

Interest = $1,161,278.01 - $177600

Interest = $1,043,678.01

the highest percentage for deaths in construction from highest to lowest is as follows: falls, struck by objects, electrocution, and caught-in/between. these four are collectively known as fatal four.

in the case of falls, the type that is responsible for the overall highest death in the category is falls from roofs.

we have three similar triangles, because each has a right angle and shares an angle.   let's write the angles in order: opposite to short leg, long leg, hypotenuse.

cab similar to bad similar to cbd

or as ratios,

ca: ab: cb = ba: ad: bd = cb: bd: cd

we also know

ac = ad + cd

(ad+cd): ab: cb = ba: ad: bd = cb: bd: cd

(ad+cd)/cb=cb/cd

we have cb=6, ad=5 and seek x=cd.

we reject the negative root and conclude x=4

answer: 4