A particle starts from rest at s = 0. The particle follows: v = (t²-5t+6) m/s

1. Determine the position of the particle at t = 8 seconds.
2. Determine the total distance traveled from 0 to 10 seconds. (draw the pathway)
3. SKETCH a v versus t curve and a versus t curve from t = 8 to t= 10 sec

An investor invests $500. The investment pays $100 at the end of year 2, $200 at the end of year 3 and $300 at the end of year 4.

Calculate the net present value (NPV) of the investment using interest preference rate of 5.7%.

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I got

v = 1/1.12

So would it just be NPV = -500 + 100(v)^2 + 200v^3 + 300v^4?

Inverse demand function of a product by a company that montizes the market is given by v = 200 - 0.03m and supply is given by v = 0.05m

1a.. Draw and calculate market balance (show price & quantity and a picture)

1b..The product damage to society is 70$ per unit. The government uses Pigovjan tax on the production of the company. Update the picture from 1.a in regards to the Pigovjan tax/1b.

(a) Prove the following claim: in every simple graph G on at least two vertices, we can always find two distinct vertices v,w such that deg(v) = deg(w).

(b) Prove the following claim: if G is a simple connected graph in which the degree of every vertex is even, then we can delete any edge from G and it will still be connected.

A long, thin solenoid has 870 turns per meter and radius 2.70 cm . The current in the solenoid is increasing at a uniform rate of 64.0 A/s

What is the magnitude of the induced electric field at a point 0.520 cm

from the axis of the solenoid? (in V/m)

What is the magnitude of the induced electric field at a point 1.30 cm

from the axis of the solenoid? (in V/m)

A three-phase line has an impedance of 1 + j3 Ω per phase. The line feeds a balanced delta-connected load, which absorbs a total complex power of 12 + j5 kVA. The line voltage at the load end has a magnitude of 300 V.

Calculate the magnitude of the line voltage at the source end.The magnitude of the line voltage at the source end is ____ V.

Let {v1, v2, v3} be a basis for a vector space V , and suppose that w = 3v1 − 5v2 + 0v3. For each of the following sets, indicate if it is: a basis for V , a linearly independent set, or a linearly dependent set. (a) {w, v2, v3} (b) {v1, w} (c) {v1, v2, w} (d) {v1, w, v3} (e) {v1, v2, v3, w}

On August 1, 2016, Pereira Corporation has sold, on account, 1,600 Wiglows to Mendez Company at $450 each. Mendez also purchased a 1-year service-type warranty on all the Wiglows for $12 per unit. In 2016, Pereira incurred warranty costs of $9,200. Costs for 2017 were $7,000.

Required:

Prepare the necessary journal entries to record:

PAGE 9

GENERAL JOURNAL

Show how Pereira would report the items on the December 31, 2016, balance sheet. Additional Instructions

Integrating problem—bonds, leases, taxes

The long-term liabilities section of CPS Transportation’s December 31, 2015, balance sheet included the following:

a.  A lease liability with 15 remaining lease payments of $10,000 each, due annually on January 1:

The incremental borrowing rate at the inception of the lease was 11% and the lessor’s implicit rate, which was known by CPS Transportation, was 10%.

b.  A deferred income tax liability due to a single temporary difference. The only difference between CPS Transportation’s taxable income and pretax accounting income is depreciation on a machine acquired on January 1, 2015, for $500,000. The machine’s estimated useful life is five years, with no salvage value. Depreciation is computed using the straight-line method for financial reporting purposes and the MACRS method for tax purposes. Depreciation expense for tax and financial reporting purposes for 2016 through 2019 is as follows:

The enacted federal income tax rates are 35% for 2015 and 40% for 2016 through 2019. For the year ended December 31, 2016, CPS’s income before income taxes was $900,000.

On July 1, 2016, CPS Transportation issued $800,000 of 9% bonds. The bonds mature in 20 years and interest is payable each January 1 and July 1. The bonds were issued at a price to yield the investors 10%. CPS records interest at the effective interest rate.

Required:

1.  Determine CPS Transportation’s income tax expense and net income for the year ended December 31, 2016.

2.  Determine CPS Transportation’s interest expense for the year ended December 31, 2016.

3.  Prepare the long-term liabilities section of CPS Transportation’s December 31, 2016, balance sheet.

Problem 19-8 Net loss; stock dividend; nonconvertible preferred stock; treasury shares; shares sold; discontinued operations [LO19-5, 19-6, 19-7, 19-13] On December 31, 2015, Ainsworth, Inc., had 640 million shares of common stock outstanding. Twenty seven million shares of 7%, $100 par value cumulative, nonconvertible preferred stock were sold on January 2, 2016. On April 30, 2016, Ainsworth purchased 30 million shares of its common stock as treasury stock. Twelve million treasury shares were sold on August 31. Ainsworth issued a 5% common stock dividend on June 12, 2016. No cash dividends were declared in 2016. For the year ended December 31, 2016, Ainsworth reported a net loss of $175 million, including an after-tax loss from discontinued operations of $470 million. Required: 1. Compute Ainsworth's net loss per share for the year ended December 31, 2016. (Round your intermediate calculations to 2 decimal places. Negative amounts should be indicated by a minus sign. Enter your answers in millions (i.e., 10,000,000 should be entered as 10).) 2. Compute the per share amount of income or loss from continuing operations for the year ended December 31, 2016. (Round your intermediate calculations to 2 decimal places. Enter your answers in millions (i.e., 10,000,000 should be entered as 10).) 3. Prepare an EPS presentation that would be appropriate to appear on Ainsworth's 2016 and 2015 comparative income statements. Assume EPS was reported in 2015 as $0.80, based on net income (no discontinued operations) of $512 million and a weighted-average number of common shares of 640 million. (Round your answers to 2 decimal places. Loss amounts should be indicated with a minus sign.)