A company borrowed $40,000 for 3 years at 6% compounded daily. It will not make any payments on this loan prior to maturity. Find (a) the total future value they will need to accumulate to pay off this debt, and (b) the quarterly sinking fund payment needed to accumulate this maturity value, assuming a 5% rate.

a A=$47,887.81

b.A=$46,430.80

Step-by-step explanation:

a. Given the initial amount is $40,000 with a 3-year term and a 6% rate compounded daily.

-Take 1 year=365 days

#First we calculate the effective interest rate corresponding to the daily compounding;

#We use the calculated effective rate, 0.06183, to solve for the future value as:

Hence, the total future value for a daily compounding is $47,887.81

b. For a sinking fund with a 5% compounded quarterly:

#We calculate the annual effective rate:

#We use the calculated effective rate, 0.05095, to solve for the future value as:

Hence, the future value of the sinking fund is $46,430.80

answer: the 4 kilogram bag

step-by-step explanation: this is because if you divide the number of kilograms into the total it will tell you how much each individual kilogram would be worth. 2 kilos is 7 and change 3 would be around 6 ish and the 4 kilo would be 4.6 and change and the 5 kilos would be like 4.88

set each factor equal to 0

4x-3 = 0

2x-1 = 0

solve for x.

4x-3=0

4x=3

x= 3/4

solve for x. 

2x-1= 0

2x= 1

x= 1/2

your answer should be 1/2 is less than or equal to x and 3/4 is greater than or equal to x