The six-month zero rate is 3% with continuous compounding. The price of a one-year bond that provides a coupon of 6% per annum semiannually is 99, and the price of a 1.5-year bond that provides a coupon of 8% per annum semiannually is 101.

a. What is the 1.0-year continuously compounded zero rate?

b. What is the 1.5-year continuously compounded zero rate?

Suppose an increase in world demand for potash (used in the production of fertilizer) increases the price from $285 per tonne to $315 per tonne. Annual Canadian production increases from 15 million tonnes to 17 million tonnes. What is the elasticity of supply of Canadian potash?

Select one:

A.

1.0

B.

1.25

C.

0.5

D.

2.5

E.

0.8

Find heat absorbed by water (kJ) and ΔrH (kJ mol-1) of the following reaction

Mg + 2 HCl (aq)   MgCl₂ + H₂

Mass of Mg: 20.8mg

Moles of Mg: calculate using formula m/M

Ti= 19.9 C

Tf= 33.4 C

density of water: 1g/mol

5M of 1.0 M HCl

V of water is 5g

A 6.875 gram sample of a mixture of Na₂CO₃(s) and NaI(s) is dissolved in 145 mL of distilled water. The Na⁺ molarity of the resulting solution is 0.577 M.

In another experiment 4.96 grams of the mixture is added to the 88.0 grams of 1.0 M HCl. The reaction is allowed to go to completion. The final mass after reaction is 92.03 grams.

Calculate the mass % of Na₂CO₃ and NaI in the mixture.

Suppose that the daily consumption of Pepsi in ounces by a high school student is normally distributed with mean = 13.0 ounces and variance = 2.0 ounces. The daily amount consumed is independent of other days except adjacent days where the covariance is -1.0. If the student has two six-packs of 16 ounce Pepsi bottles, what is the probability that some Pepsi remains at the end of two-weeks ?

Evan obtained the following absorbance data: Concentration (mM) 13,16.2,19.4,22.6,25.8

Absorbance: 0.095,0.143,0.205,0.241,0.312

A graph of this data revealed the line equation is y = 0.0166x – 0.1223 with an R2 =0.99234.

A). Evan measures an unknown solution with an absorbance of 0.448. What is the concentration of the solution?

B).Evan takes 1.0 mL of a solution and dilutes it to 50.0 mL. The absorbance is 0.192. What is the concentration of the original solution?

The speed of a runner increased steadily during the first three seconds of a race. Her speed at half-second intervals is given in the table. Find lower and upper estimates for the distance that she traveled during these three seconds.

50. mL 2.0 M methylamine (CH₃NH₂) solution and 50. mL of 2.0 M methylamine hydrochloride (CH₃NH₃Cl) solution. The K_b for methylamine is 4.4 x 10^-4.

What is the pH of the resulting solution after adding 100 mL of 1.0 M KOH to the original buffer solution?

11.12                           b) 10.64                       c) 12.32                       d) 0.48                         e) 5.32

You are contemplating financing (interest only) on a $10,000,000 shopping center. A lender has offered a 70% LTV loan with an interest rate of 7%. Another lender is offering a mortgage loan for 80% LTV, but wants an 8% interest rate. What is the effective interest rate on the additional debt contemplated in the second loan? Ch12

a. 1.0%

b. 15.0%

c. 23.6%

d. 19.0%

A Nd: YAG Laser with a length of 0.01m is coated on both sides so that R=0.95

wavelength= 1.0?m

the linewidth of the laser transition is v = 10/cm

Absorption coefficient a=0.01/cm

Lifetime of upper laser level l = 3ms

refractive index n = 1.77

A. What is the minimum invertsion population requirement for lasing?

B. What is the Q of the Cavity?