You estimate that it will take five years to complete your college education. Your parents want to invest enough money today at 12 per cent to enable you to withdraw $5000 at the end of each year for the next five years with nothing left at the end of the five-year period. How much money do they need today?

the present value is $18,025

Step-by-step explanation:

The computation of the amount that should be needed today is given below:

Given that

NPER = 5

RATE  = 12%

PMT = $5,000

FV = $0

The formula is shown below:

=-PV(RATE,NPER,PMT,FV)

AFter applying the above formula, the present value is $18,025

x = 17

step-by-step explanation:

in the given figure, two triangles are inscribed in a circle where ∠bae ≅ ∠dae which makes the side be and de equal so we can write it as:

3x - 24 = x + 10

solving this equation for x to get:

3x - x = 10 + 24

2x = 34

x = 34/2

x = 17

therefore, the value of x = 17.