Which insect repellents protect best against mosquitoes?
Consumer reports (June 2000) tested 14 products that all claim to
be an effective mosquito repellent. Each product was classified as
either lotion/cream or aerosol/spray. The cost of the product (in
dollars ) was divided by the amount of the repellent needed to
cover exposed areas of the skin *about 1/3 ounce) to obtain a
cost-oer0use value. Effectiveness was measured as the maximum
number of hours of protection (in half-hour increments) provided
when human testers exposed their arms to 200 mosquitoes. The data
from the report:
Insect
Repellent
Type Cost/Use Maximum Protection
Away HourGuard
12
Lotion/Cream $2.08
13.5 hours
Avon Skin-So-Soft Aerosol/Spray
0.67
0.5
Avon BugGuard
Plus
Lotion/Cream
1.00
2.0
Ben's Backyard Formula Lotion/Cream
0.75
7.0
Bite
Blocker
Lotion/Cream
0.46
3.0
BugOut
Aerosol/Spray 0.11
6.0
Cutter
Skinsations
Aerosol/Spray 0.22
3.0
Cutter UNscented Aerosol/Spray
0.19
5.5
Musko1l
Ultra6Hours
Aerosol/Spray
0.24
6.5
Natrapel
Aerosol/Spray 0.27
1.0
Off! Deep Woods
Aerosol/Spray
1.77
14.0
Off! Skintastic Lotion/Cream
0.67
3.0
Sawyer Deet
Formula
Lotion/Cream 0.36 7.0
Repel
Permanone
Aerosol/Spray 2.75 24.0
a. Suppose you want to use repellent type to model the cost per use
(y). Create the appropriate number of dummy variables for repellent
type, and write the model.
b. Fit the model you wrote in part a to the data.
c. Give the null hypothesis for testing whether repellent type is a
useful predictor of cost per use (y).
d. Conduct the test suggested in part c and give the appropriate
conclusion. Use alpha=.10.
e. Repeat parts a-d if the dependent variable is maximum number of
hours of protection (y).
In: Statistics and Probability
2,4% compounded yearly
2000 monthly payment
1 000 000 initial payment
40 years
We are still thinking that the price of the apartment is very expensive, we believe we could convince the bank of making payments only once a year, at the end of the year. The interest rate would still be the same 2.4%, how much money have we saved with this action?
a) In the payments for each year?
b) in the total amount paid for the whole period?
c) what is the present value of the savings?
In: Finance
2. Firm I has variable cost VCi = yi^2/10 and fixed cost FCi = 2000.
(1) Find total cost Ci(yi), average cost ACi, marginal cost Mci and the firm supply function Si(p)
(2) There are n=50 firms identical to firm I, facing a market demand of D(p) = 1000-250p. Find the market supply function S(p), the market equilibrium price p*, the market equilibrium quantity Y*.
(3) Given price p* you found in part b, what is the profit maximising yi* that firm i produces? How much profit does firm i make?
(4) The government introduces a tax on demand so that D'(p ) = 1000-250(p+t), where t=8. What is the new equilibrium price p? What is the new market equilibrium quantity Y'?
(5) At the new market price p', and assuming that in the short run the number of firms remains n=50, how much will firm I produce and how much will profit be?
(6) Given what you found in part e, will firms enter or exit? What is the long-run equilibrium number of firms n? What is the long run equilibrium price?
In: Advanced Math
1. Firm I has variable cost VCi = yi^2/10 and fixed cost FCi = 2000.
(1) Find total cost Ci(yi), average cost ACi, marginal cost Mci and the firm supply function Si(p)
(2) There are n=50 firms identical to firm I, facing a market demand of D(p) = 1000-250p. Find the market supply function S(p), the market equilibrium price p*, the market equilibrium quantity Y*.
(3) Given price p* you found in part b, what is the profit maximising yi* that firm i produces? How much profit does firm i make?
In: Economics
Consider a freeway with two lanes and capacity of 2000 veh/h/lane, jam density of 60 veh/km/lane and a triangular fundamental diagram. Traffic is moving with the flow of 3000 veh/h and the space mean speed of 100 km/h. At 10:00 a.m., a traffic crash occurs that blocks one lane for half an hour. Using shockwave analysis, answer the following questions. a. Draw the space-time diagram with shockwaves and traffic states (trajectories not needed). [2 marks] b. At time t = 10:30 a.m., Jack enters the freeway via an upstream on-ramp, which is 20 km away from the accident location. Does Jack experience congestion? If yes, what time does Jack start driving at a lower speed? [3 marks]
In: Civil Engineering
Emerald Ltd, a manufacturing company, commenced operations on 1 July 2016 by issuing 350 000 $5.00 shares, payable in full on application on a first-come, first-served basis. By 31 July 2016 the shares were fully subscribed and duly allotted. There were share issue costs of $10 000. No additional shares were issued during the year ending 30 June 2017.
For the year ending 30 June 2018, the company recorded the following aggregate transactions:
|
$ |
|
|
Sales |
5 120 000 |
|
Interest income |
34 000 |
|
Sundry income |
25 000 |
|
Cost of Sales |
2 465 000 |
|
Employee benefit expenses |
856 000 |
|
Depreciation expense |
244 000 |
|
Amortisation - franchise |
25 000 |
|
Rental expense |
120 000 |
|
Advertising expense |
147 000 |
|
Insurance expense |
48 000 |
|
Freight out expense |
110 000 |
|
Doubtful debts expense |
16 000 |
|
Interest expense |
36 000 |
|
Borrowing Costs |
9 000 |
|
Other expenses |
8 000 |
|
Income tax expense |
320 000 |
The following additional information was noted during the preparation of financial statements for the year ended 30 June 2018:
75 000 fully paid ordinary shares have been issued on 1 October 2017 at the price of $4.00.
$135 000 dividends (31.76 cents per share) were declared and paid during the 2018 financial year. A final dividend for 2018 of $51 850 was proposed but not recognised in the financial statements.
There was a gain of $20 000 from the cash flow hedge arrangement during the 2018 financial year. Any gain or loss associated with the cash flow hedge is directly recognised in equity. There was no previously recognised cash flow hedge reserve before the 2018 financial year.
$25 000 of bank loans is repayable within 1 year.
$90 000 of other loans is repayable within 1 year.
The employee benefits of $32 000 are expected to be settled wholly within 12 months.
Emerald Ltd measures inventory at the lower of cost and net realizable value and property, plant and equipment using a cost model.
The summarised balances are provided below:
|
Year-end balances, 30 June 2018 |
$ |
|
Cash on hand |
960 000 |
|
Cash on deposit, at call |
82 000 |
|
Accounts Receivables |
665 000 |
|
Allowance for doubtful debts/ Impairments |
24 000 |
|
Other debtors |
27 000 |
|
Finished goods inventories, 30 June 2018 |
600 000 |
|
Work in Progress inventories 30 June 2018 |
105 000 |
|
Land |
94 000 |
|
Buildings |
230 000 |
|
Accumulated depreciation – buildings |
60 000 |
|
Plant and equipment |
1 385 000 |
|
Accumulated depreciation – plant and equipment |
330 000 |
|
Franchises |
140 000 |
|
Accumulated amortisation of franchise |
50 000 |
|
Goodwill |
620 000 |
|
Bank loans |
92 000 |
|
Other loans |
440 000 |
|
Accounts payable |
696 000 |
|
Provision for employee benefits |
116 000 |
|
Income tax payable |
35 000 |
|
Deferred tax liability |
140 000 |
|
Retained earnings, 30 June 2017 |
225 000 |
|
Dividends paid |
135 000 |
|
Cash flow hedge reserve (equity) |
20 000 |
Required:
For the year ending 30 June, 2018,
Using the pro forma table supplied in appendix B, prepare a preliminary trial balance for Emerald Ltd; (5 Marks)
APPENDIX B
|
Emerald Ltd - Trial Balance as at 30 June 2018 |
DR |
CR |
|
Sales |
$’000 |
$’000 |
|
Interest income |
||
|
Sundry income |
||
|
Cost of sales |
||
|
Employee benefit expenses |
||
|
Depreciation expense |
||
|
Amortisation - franchise |
||
|
Rental expense |
||
|
Advertising expense (selling) |
||
|
Insurance expense |
||
|
Freight out expense |
||
|
Doubtful debts expense |
||
|
Interest expense |
||
|
Borrowing costs |
||
|
Other expenses |
||
|
Income tax expense |
||
|
Cash on hand |
||
|
Cash on deposit, at call |
||
|
Accounts Receivables |
||
|
Allowance for doubtful debts/ Impairments |
||
|
Other debtors |
||
|
Finished goods inventories, 30 June 2018 |
||
|
Work in Progress inventories 30 June 2018 |
||
|
Land |
||
|
Buildings |
||
|
Accumulated depreciation – buildings |
||
|
Plant and equipment |
||
|
Accumulated depreciation – plant and equipment |
||
|
Franchise |
||
|
Accumulated amortisation of franchise |
||
|
Goodwill |
||
|
Bank loans |
||
|
Other loans |
||
|
Accounts payable |
||
|
Provision for employee benefits |
||
|
Income tax payable |
||
|
Deferred tax liability |
||
|
Retained earnings, 30 June 2017 |
||
|
Dividends paid |
||
|
Cash flow hedge reserve |
||
|
Share capital |
||
|
Totals |
In: Accounting
Liam and Marta live in London. Both are teachers, with Liam in full time and Martart-time paid employment. When they bought a flat together in June 2018 the mortgage broker talked them through repayment and interest-only mortgages. They decided to use their savings as a deposit and chose a repayment mortgage, which by June 2020 was standing at £100,000. The market value of their flat had increased by 10% over this time period on the original purchasing price of £110,000.
Together, in June 2020 the couple earn a net monthly income of £4000 and their expenditure has averaged £4200 a month over the last two years. In June 2020 their car loan is down from £4,000 to £2,500, their current account balance has dropped to zero and they have an overdraft on their current account of £1500. Meanwhile their savings account holds just £300. They also owe £3000 on a credit card. The rest of their balance sheet has not changed since June 2018.
They are reviewing their finances as they are considering improving their home by installing a new kitchen.
Table 1 shows their balance sheet and financial ratios in June 2018.
Table 1 Liam and Marta’s household balance sheet – June 2018
|
June 2018 |
|
|
Assets |
113,120 |
|
Liquid assets |
3,120 |
|
Cash |
120 |
|
Current account |
2,000 |
|
Instant access savings account(s) |
1,000 |
|
Other liquid assets |
0 |
|
Other assets |
110,000 |
|
Home |
110,000 |
|
Liabilities |
110,000 |
|
Short-term liabilities |
1,000 |
|
Overdraft |
0 |
|
Credit card |
1,000 |
|
Other short-term liabilities |
0 |
|
Other liabilities |
109,000 |
|
Personal loans |
4,000 |
|
Mortgage |
105,000 |
|
Ratios |
|
|
Net worth / wealth |
3,120 |
|
Current asset ratio |
3.12 |
|
Leverage ratio |
97.24 |
c. Using the financial ratios and other relevant information, compare the couple’s financial situation in June 2018 and June 2020, and explain whether you lean towards their home improvement idea.
In: Accounting
Indicate any amounts from these transactions that is assessable income for the 2017/18 tax year.
(a) Frida is a resident taxpayer employed by Sharpe Office Supplies. She received a gross salary of $60,000. This was paid into a bank account held by her husband Ray.
(b) Frida did not take any annual leave during the 2017/18 tax year. She had accrued 5 weeks’ annual leave as at 30 June 2018 which has a value of $6,000.
(c) Frida won $3,500 from her share of a Powerball syndicate with her work colleagues.
(d) In April 2018, Frida received $1,500 cash as a prize for employee of the month.
e) In May 2018, Frida also received a holiday to Fraser Island valued at $4,000 as a reward for attaining the highest sales figures at work.
(f) In July 2017, Frida received a wedding gift from her work colleagues worth $750 to celebrate her marriage to Ray.
(g) In January 2018 Sharpe Office Supplies reimbursed Frida $3,000 of self-education costs upon the successful of her work-related logistics course.
(h) Samantha Storey owns an apartment in Adelaide held as an investment which she leases to tenants and derives rental income. During the 2017/18 tax year, Samantha received rent totalling $19,000 from tenants who leased the property from September 2017 until May 2018.
(i) On 18 January 2018 Samantha received $700. This was the tenant’s reimbursement towards cleaning the carpets and walls following damage from a New Year’s Eve Party.
(j) On 10 December 2017, the tenants started a fire in the kitchen by accident. While the damage was contained to one part of the kitchen, Samantha received a cheque from her insurance claim, which covered:
- $1,000 for a new replacement stove.
- $3,000 for deductible repairs to the bench top and walls.
In: Accounting
These are the correct answers but I am having difficulty figuring out how these figures were reached.
On March 1, 2018, Nailtique Nail Salons issued $450,000 of 15-year, 5 percent bonds payable. The bonds were sold for $432,000. The bonds pay interest each August 31 and February 28, and any discount or premium is amortized using straight-line amortization.
Requirement 1. Fill in the blanks to complete each statement.
|
a. |
Nailtique Nail Salons' bonds are priced at (express the price as a percentage) |
96 (432000/450000) X 100 |
%. |
b. When Nailtique Nail Salons issued its bonds, the market interest rate was Higher than 5
percent.
|
c. |
The amount of bond discount or premium is $ |
18,000 (450000-432000) |
. |
Requirement 2. Record each transaction. (Do not round any intermediary computations, but then round all amounts you enter into the journal entry tables to the nearest whole dollar. Record debits first, then credits. Exclude explanations from any journal entries.)
a. Issuance of the bonds payable on March 1, 2018
|
Journal Entry |
||||
|
Date |
Accounts |
Debit |
Credit |
|
|
Mar |
1 |
Cash |
432,000 |
|
|
Discount on bonds payable |
18,000 |
|||
|
Bonds payable |
450,000 |
|||
b. Payment of interest (and amortization of discount or premium, if any) on August 31, 2018.
|
Journal Entry |
||||
|
Date |
Accounts |
Debit |
Credit |
|
|
Aug |
31 |
Interest expense |
11,850 |
|
|
Discount on bonds payable |
600 |
|||
|
Cash (450000 X 5%) /2 |
11,250 |
|||
c. Accrual of interest (and amortization of discount or premium, if any) on December 31, 2018
|
Journal Entry |
||||
|
Date |
Accounts |
Debit |
Credit |
|
|
Dec |
31 |
Interest expense |
7,900 |
|
|
Discount on bonds payable |
400 |
|||
|
Interest payable |
7,500 |
|||
Requirement 3. At what amount will Nailtique Nail Salons report the bonds on its balance sheet at December 31, 2018?
|
c. |
On its balance sheet at December 31, 2018, the company will report the bonds at |
the carrying amount |
||
|
of $ |
433,000 |
. |
||
In: Finance
Analyzing Segment Revenue Disclosures from Quarterly
Data
Beyond Meat disclosed the following in its Form 10‑Q for the first
quarter ended March 30, 2019. The company had its initial public
offering (IPO) in May 2019.
The Company’s net revenues by platform and channel are included in
the tables below:
|
For Three Months Ended (in thousands) |
March 30, 2019 |
March 31, 2018 |
|
Net revenues |
||
|
Fresh platform |
$38,806 |
$9,596 |
|
Frozen platform |
4,512 |
4,748 |
|
Less: discounts |
(3,112) |
(1,568) |
|
Net revenues |
$40,206 |
$12,776 |
|
For Three Months Ended (in thousands) |
March 30, 2019 |
March 31, 2018 |
|
Net revenues |
||
|
Retail |
$19,579 |
$9,288 |
|
Restaurant and Food Service |
20,627 |
3,488 |
|
Net revenues |
$40,206 |
$12,776 |
Two distributors each accounted for approximately 21% of the
Company’s gross revenues in the three months ended March 30, 2019;
and three distributors accounted for approximately 34%, 14% and
11%, respectively, of the Company’s gross revenues in the three
months ended March 31, 2018.
a. Calculate the average discount given to customers for the two
quarters presented.
Note: Round percentage (your final answer) to one
decimal place (for example, enter 6.7% for 6.6555%).
Average discount for quarter ended March 30, 2019: Answer %
Average discount for quarter ended March 31, 2018: Answer %
b. What do we observe about the level of the discounts across
the two quarters?
The level of discounts has
(increased/decreased/remained) from 2018 to
2019.
c. Beyond Meat’s revenue grew tremendously between March 2018
and March 2019. Determine growth rates for each of the platforms
and channels disclosed (Fresh, Frozen, Retail, and
Restaurant).
Note: Round percentage (your final answer) to the
nearest whole percentage point.
|
Same Quarter Growth |
|
|
Fresh Platform |
Answer % |
|
Frozen Platform |
Answer % |
|
Retail |
Answer % |
|
Restaurant and Food Service |
Answer % |
In: Accounting