143) On January 2, 2010, Pannabaker Corporation issued $400,000, five-year, 10% bonds when the market rate of interest was 12%. The bonds pay interest annually on December 31. Pannabaker Corporation uses the effective-interest method of amortization and has a year-end of December 31.

(Note: present value tables required.)

a) Prepare the journal entry on January 2, 2010, to issue the bonds. b) Prepare the journal entry on December 31, 2010, to record the first annual interest payment and the amortization of the premium or discount.

144) Calculate the cash proceeds from the following issuances of bonds. All situations are independent of each other and all the bond issuances pay interest annually.

Note: present value tables required.

a) $100,000, five-year, 10% bonds issued when the market rate is 8% b)$50,000, 10-year, 8% bonds issued when the market rate is 12% c) $200,000, 10-year, 9% bonds issued when the market rate is $12% d) $100,000, five-year, 12% bonds issued when the market rate is 8%

145) Warren Corporation signs an agreement on January 2, 2010, to lease delivery equipment for a five-year period. The current market value of the delivery equipment on January 2, 2010, is $225,000. The lease agreement calls for annual payments of $50,040. The first payment is made on January 2, 2010, all other payments are made on December 31 of each year. The lease agreement calls for an 8% interest rate. The estimated remaining life of the delivery equipment is six years. Ownership of the delivery equipment will transfer to Warren Corporation at the end of the lease term.

Note: present value tables required.

a) Prepare the journal entry on January 2, 2010, to record the lease agreement and make the first lease payment. b) Prepare the entry on December 31, 2010, to record the second lease payment and the accrual of interest.

4) Two carts collide on a level track. Cart A has mass of 3 kg and cart B has mass of 5 kg. Before the collision cart A moves towards stationary cart B with the speed of 5 m/s.
a) What is the momentum of the system of two carts before the collision?

b) What is the kinetic energy of the system of two carts before the collision?

c) What is the momentum of the system of two carts after the collision?

d) If after the collision cart A stops, what is the speed of cart B after the collision?

What is the kinetic energy of the system of two carts after the collision?

Is this a perfectly elastic collision? (enter "yes" or "no") (b/c KE is not conserved)

Is this a perfectly inelastic collision? (enter "yes" or "no") (b/c carts do not sick together after the collision)


e) If instead the two carts lock bumpers and stick together after the collision, what is their speed after the collision?

What is the kinetic energy of the system of two carts after the collision?

Answer for a and be should be answered independently.

Let (X,d) be a metric space, and

a) let A ⊆ X. Let U be the set of isolated points of A. Prove that U is relatively open in A.

b) let U and V be subsets of X. Prove that if U is both open and closed, and V is both open and closed, then U ∩ V is also both open and closed.

Prove Corollary 4.22: A set of real numbers E is closed and bounded if and only if every infinite subset of E has a point of accumulation that belongs to E.

Use Theorem 4.21: [Bolzano-Weierstrass Property] A set of real numbers is closed and bounded if and only if every sequence of points chosen from the set has a subsequence that converges to a point that belongs to E.

Must use Theorem 4.21 to prove Corollary 4.22 and there should be no mention of closed and bounded in the proof. The proof should start with,

[E closed and bounded] iff [E has the BW Property]

StoneWorks is a company that sells tile. It has three profit centers: ceramic, stone and granite. Below is financial information for the three centers for the year.

                                                                           Ceramic               Stone            Granite

Revenue                                                           $100,000         $125,000         $150,000

Variable costs as a percentage of sales                     40%                 60%                 64%

Fixed costs:                                                                                                                    

Costs unique to the profit center                           30,000             45,000             64,000

Costs allocated by the retail store                           6,000               7,000               8,000

Which ONE of the following statements is TRUE?

Below is a chart I'm trying to fill out for Invertebrates. I wanted to know if my answers are correct, and if you can help me fill in the sections that I didn't understand (the blank parts). Thank you!

Given the following dataset

We want to test the claim that there is a correlation between xand y.

(a) What is the null hypothesis Ho and the alternative hypothesis H1?

(b) Using α= 0.05, will you reject Ho? Justify your answer by using a p-value.

(c) Base on your answer in part (b), is there evidence to support the claim?

(d) Find r, the linear correlation coefficient.

The level of cretaine phosphokinase (CPK) in blood samples measures the amount of muscle damage for athletes. At Jock State University, the level of CPK was determined for each of 25 football players and 15 soccer players before and after practice. The two groups of athletes are trained independently. The data summary is as follows :For football players :

For soccer players :

Assume that all the data above are normal, use the information above to answer problems 7 to 10.

7. Construct a 95% Confidence Interval for the difference in mean CPK values for foot-ball players and soccer players BEFORE exercises.

8. Construct a 95% Confidence Interval for the difference in mean CPK values for foot-ball players BEFORE and AFTER exercises.

9. Test the claim that the mean CPK level has DECREASED for soccer players AFTERexercise (compared to the mean BEFORE exercise), using α= 0.10.

10. AFTER practice, do football players have a DIFFERENT mean CPK values com-pared to soccer players? Test this claim by performing a hypothesis test, usingα= 0.10.

Define and explain how two of the following three methods were used (or not used) by the consumers to estimate the overcharge in the lysene cartel: before and after, cost-based and yardstick. [We did not discuss the third in class, though it is about a different type of comparison than the before and after method.]

An electron collides elastically with a stationary hydrogen atom. The mass of the hydrogen atom is 1837 times that of the electron. Assume that all motion, before and after the collision, occurs along the same straight line. What is the ratio of the kinetic energy of the hydrogen atom after the collision to that of the electron before the collision?