Suppose that upper p 0 is invested in a savings account in which interest is compounded continuously at 6.4% per year. that is, the balance p grows at the rate given by the following equation. startfraction dp over dt endfraction equals 0.064p(t) (a) find the function p(t) that satisfies the equation. write it in terms of upper p 0 and 0.064. (b) suppose that $500 is invested. what is the balance after 3 years? (c) when will an investment of $500 double itself?

He aldermanalderman company has prepared a sales budget of 42 comma 00042,000 finished units for a 3-month period. the company has an inventory of 10 comma 00010,000 units of finished goods on hand at december 31 and has a target finished goods inventory of 11 comma 00011,000 units at the end of the succeeding quarter. it takes 44 gallons of direct materials to make one unit of finished product. the company has inventory of 64 comma 00064,000 gallons of direct materials at december 31 and has a target ending inventory of 53 comma 00053,000 gallons at the end of the succeeding quarter. how many gallons of direct materials should aldermanalderman company purchase during the 3 months ending march 31? select the labels and enter the amounts to calculate the direct materials (gallons) to be purchased.

Select the correct answer. ramon applied to the state university in the city where he lives, but he was denied admission. what should he do now? a.change his mind about graduating and drop out of high school so he can start working right away. b. decide not to go to college, because he didn’t have a backup plan. c.stay positive and write a mean letter to let the college know that they made a bad decision. d. learn from this opportunity, reevaluate his options, and apply to his second and third choices.

Suppose you win a small lottery and have the choice of two ways to be paid: you can accept the money in a lump sum or in a series of payments over time. if you pick the lump sum, you get $2,950 today. if you pick payments over time, you get three payments: $1,000 today, $1,000 1 year from today, and $1,000 2 years from today. 1) at an interest rate of 6% per year, the winner would be better off accepting the (lump sum / payments over time), since it has the greater present value. 2) at an interest rate of 9% per year, the winner would be better off accepting the (lump sum / payments over time), since it has the greater present value. 3) years after you win the lottery, a friend in another country calls to ask your advice. by wild coincidence, she has just won another lottery with the same payout schemes. she must make a quick decision about whether to collect her money under the lump sum or the payments over time. what is the best advice to give your friend? a) the lump sum is always better. b) the payments over time are always better. c) it will depend on the interest rate; advise her to get a calculator. d) none of these answers is good advice.