Barb Muller wins the lottery. She wins $20,000 per year to be paid for 10 years. The state offers her the choice of a cash settlement now instead of the annual payments for 10 years. If the interest rate is 6%, what is the amount the state will offer for a settlement today?

The government should offer $147,201.74.

Explanation:

First, we need to calculate the future value (FV) of the payments using the following formula:

FV= {A*[(1+i)^n-1]}/i

A= annual payment

FV= {20,000*[(1.06^10) - 1]} / 0.06

FV= $263,615.90

Now, the present value, meaning the amount of money that the government should offer:

PV= FV/(1+i)^n

PV= 263,615.9 / (1.06^10)

PV= $147,201.74

The government should offer $147,201.74.

I will answer in English.

The weight of the kid is 30kg.

the surface of his sneakers is 150cm^2

and we know that pressure is defined as: P = F/A

where F is force, in this case, F is the weight of the kid, and A is the surface area.

When the kid is using both his legs to stand, the weight is divided equally between both legs, so we have 15kg per leg.

Then the pressure in each foot is:

P = 15kg/150cm^2 = 0.1 kg/cm^2

If he is using only one leg, then all the 30kg are being supported by that leg, then the pressure is:

P = 30kg/150cm^3 = 0.2g/cm^3