Mr. Funperson will graduate with an engineering BS degree from USF before his 25th birthday, and start his first professional job immediately upon his graduation. Mr. Funperson decides to set up a retirement account and makes his first monthly deposit into the retirement account a month after his 25th birthday. He will continue making these monthly deposits until he retires at 65. His goal is for his retirement account to reach 500,000 dollars on his 65th birthday. Assume an interest rate of 6% per year.

Calculate Mr. Funperson's monthly deposit if he stops making deposits after his 55th birthday. That is, his last deposit will be made on his 55th birthday.

a.) $248

b.) $274

c.) $299

Weak base/ Strong acid titration curve question.

1) In the titration of .0400 M weak base B of 50 ml with .100 M HCl. What is the solution pH before any HCl is added?

2) In the titration of .0400 M weak base B of 50 ml with .100 M HCl. What is the solution pH after 10 ml HCl is added?

3) In the titration of .0400 M weak base B of 50 ml with .100 M HCl. What is the solution pH at the equivalence point? (20 ml, at the equivalence point)

4) In the titration of .0400 M weak base B of 50 ml with .100 M HCl. What is the solution pH after 25 ml HCl is added?

*pKa of the conjugate acid of base is: 7.90

As part of an interview for a summer job with the Coast Guard, you have been asked to help determine the search area for two sunken ships by calculating their velocity just after an accident. According to the last radio transmission from the luxury liner Apollo (3.9 × 104 metric tons), it was going due east at a steady speed of 21 knots in calm seas through a rare fog just before it was struck broadside by the freighter Blake (6.1 × 104 metric tons), which was traveling north at steady speed of 11 knots. The transmission also noted that when the freighter's bow pierced the hull of the liner, the two ships stuck together and sank. What was the speed and direction of the ships after the collision ? (Take zero degrees to be straight east and counter-clockwise as positive.)

1)____ knots

2)____ degrees

Irene is saving for a new car she hopes to purchase either four or six years from now. Irene invests $22,000 in a growth stock that does not pay dividends and expects a 6 percent annual before-tax return (the investment is tax deferred). When she cashes in the investment after either four or six years, she expects the applicable marginal tax rate on long-term capital gains to be 25 percent. (For all requirements, do not round intermediate calculations. Round your final answers to nearest whole dollar amount.)

a. What will be the value of this investment four and six years from now?

b. When Irene sells the investment, how much cash will she have after taxes to purchase the new car (four and six years from now)?

in a 1200 word report, give an overview of the biochemical events that occur at the start point of a running race (that is, before the runner has commenced running), during the race, after 5 minutes and after 45 minutes, in terms of:

• ● the processes involved in the mobilisation and/or use of both types of fuels (carbohydrates and lipids).

• ● a brief overview of the biochemical pathways used to degrade these fuel molecules

• ● a comparison of the yield of ATP for both fuels

take into account answering the following in the report:

• What are the main time points you have to cover?

• ● What fuels are used at each time point?

• ● What pathways are required to mobilize the fuel?

• ● What pathways are involved in breakdown of the fuel?

• ● What cellular compartment and tissue types are involved?

• ● What are the inputs and outputs of each pathway?

• ● How much energy is derived from each fuel?

Suppose XYZ Corp stock is currently selling for $40 a share. You invest $10,000 of your own money to buy on margin. The initial margin rate is 60% and the minimum maintenance margin is 30%. The interest rate on margin loan is 8%. The stock paid $1 in dividends per share and you paid $0.50 per share as commission.

1. If the stock price increases to $52 after one year, show the T-Account calculations for Margin calculations and calculate your rate of return

2. If the stock price falls to $32 after one year, show the T-Account for margin calculations and calculate your rate of return

3. How far does the price have to fall before you get a margin call?

Suppose that you sell short 1,000 shares of Intel, currently selling for $20 per share, and give
your broker $15,000 to establish your margin account.
a. If you earn no interest on the funds in your margin account, what will be your rate of return
after 1 year if Intel stock is selling at: (i) $22; (ii) $20; (iii) $18? Assume that Intel pays no
dividends.
b. If the maintenance margin is 25%, how high can Intel’s price rise before you get a margin call?
c. Redo parts ( a ) and ( b ), but now assume that Intel also has paid a year-end dividend of $1
per share. The prices in part ( a ) should be interpreted as ex-dividend, that is, prices after the
dividend has been paid.

1. A vehicle (truck A), with a mass of 1800 kg, is tested for safety at a lab by having another vehicle (truck B) crash into it from behind. Initially, Truck A is at rest and truck B approaches at about 45 km/hr. After the crash, truck B recoils back at 10 km/hr, while truck A is pushed forward at 27 km/hr. Remember to give all answers in standard units. (This collision would likely be inelastic.)

1. Draw a sketch showing the trucks before AND after the collision, with your directions properly labeled.

2. Given these results, what must have been the mass of truck B? (Assume neither car lost any mass during the collision.)

1. How much did the total energy of the system (A + B) change? Was this change a gain or a loss of energy?

Suppose that you sell short 200 shares of Xtel, currently selling for $50 per share, and give your broker $6,000 to establish your margin account.

a. If you earn no interest on the funds in your margin account, what will be your rate of return after one year if Xtel stock is selling at: (i) $56; (ii) $50; (iii) $45? Assume that Xtel pays no dividends.

b. If the maintenance margin is 25%, how high can Xtel’s price rise before you get a margin call?

c. Redo parts (a) and (b), but now assume that Xtel also has paid a year-end dividend of $1 per share. The prices in part (a) should be interpreted as ex-dividend, that is, prices after the dividend has been paid.

Partial income statements for Sherwood Company summarized for a four-year period show the following:

An audit revealed that in determining these amounts, the ending inventory for 2015 was overstated by $20,000. The inventory balance on December 31, 2016, was accurately stated. The company uses a periodic inventory system.

1. Restate the partial income statements to reflect the correct amounts, after fixing the inventory error.

2-a. Compute the gross profit percentage for each year (a) before the correction and (b) after the correction. (Round your answers to the nearest whole percent.)

2-b. Do the results lend confidence to your corrected amounts?