An employee put $5,000.00 in a retirement account that offers 9% interest compounded annually. the employee makes no additional deposits or withdrawals. which amount is closest to the interest the employee will have earned at the end of 5 years? a) $229.09 b) $450.00 c) $2,250.00 d) $2,693.12

You can use the formula of calculating the amount resulted after interest compounded on principle amount.

The amount closest to the interest the employee will have earned at the end of 5 years is given by:

Thus, Option D: $2693.12 is correct.

where A = Amount after T years

P = initial amount

R = R% annual compound interest rate

T = T years of time for which amount was deposited.

Since employee puts $5,000 in retirement account, thus P = $5000

The time for which the amount was deposited is 5, thus T = 5

The rate of compound interest was 9% annually.

Thus,we have, by formula:

Now, we have:
A = P + CI

or

CI = A - P

or

CI = $7693.12 - $5000 = $2693.12

Thus, the amount $2693.12 is closest to the interest the employee will have earned at the end of 5 years.

Thus, Option D: $2693.12 is correct.

Learn more about compound interest here:

link

D) $2693.12

Step-by-step explanation:

The account balance is multiplied by 1.09 each year, so at the end of 5 years, it has been multiplied by 1.53862395

After subtracting the initial deposit amount, the remainder is the interest earned:

... $5000×(1.53862395 -1) = $5000×0.53862395 ≈ $2693.12

d) by the cross product property, ab^2 = bc multiplied by ad

step-by-step explanation:

we are given

in the given triangle abc

angle a is 90° and segment ad is perpendicular to segment bc

we can see that

triangle(abc) and triangle(abd) are similar because they have common side and same angle (90 degree)

so, triangles(abc) and abd are similar

since, they are similar

so, the ratio of their sides must be equal

we get

now, we can cross multiply

and we get

so, this could be step to prove it