Jimmy deposits $4,500 into each of two savings accounts. Account 1 earns 5% annuy simple interest . Account 2 earns 5% interest compounded annually . Jimmy's does not make any additional deposits or withdrawals . What is the sum of the balances of Account 1 and Account 2 at the end of 4 years

Step-by-step explanation:

Considering account 1, we would apply the formula for determining simple interest which is expressed as

I = PRT/100

Where

I represents interest paid on the amount of money deposited.

P represents the principal or amount of money deposited.

R represents interest rate on the deposit.

T represents the duration of the deposit in years.

From the information given,

P = $4500

R = 5%

T = 4 years

Therefore,

I = (4500 × 5 × 4)/100

I = $900

Total amount in account 1 is

4500 + 900 = 5400

Considering account 2, we would apply the formula for determining compound interest which is expressed as

A = P(1 + r/n)^nt

Where

A = total amount in the account at the end of t years

r represents the interest rate.

n represents the periodic interval at which it was compounded.

P represents the principal or initial amount deposited

From the information given,

P = $4500

r = 5% = 5/100 = 0.05

n = 1 because it was compounded once in a year.

t = 4 years

Therefore,

A = 4500(1 + 0.05/1)^1 × 4

A = 4500(1.05)^4

A = $5470

The sum of the balances of Account 1 and Account 2 at the end of 4 years is

5400 + 5470 = $10870

it has the same slope and a different y-intercept

hope this : )

the correct option is 2.

step-by-step explanation:

according to the given information triangle abc is a right angle triangle with right angle at a. segment ab is 5 and segment ac is 7. point d is on segment bc and angles adb and adc are right angles.

it is given that triangles abd, cad, and cba are similar.

two triangles are similar if their corresponding sides are proportional.

in triangle cba, using pythagoras theorem

                      )

triangle abd and cba are similar,

                            (2)

triangle cad and cba are similar,

                      )

using (1), (2) and (3), we get

hence proved.

therefore option 2 is correct.