Rossdale Co. stock currently sells for $68.69 per share and has a beta of .87. The market risk premium is 7.30 percent and the risk-free rate is 2.89 percent annually. The company just paid a dividend of $3.53 per share, which it has pledged to increase at an annual rate of 3.20 percent indefinitely. What is your best estimate of the company's cost of equity?

Answers

Answer 1

Answer:

8.5%

Explanation:

we can calculate the company's cost of equity in two different ways:

Re = risk free rate + (beta x market risk premium) = 2.89% + (0.87 x 7.3%) = 9.24%

or

we can use the dividend growth model

P₀ = Div₁ / (Re - g)

Re - g = Div₁ / P₀

Re = Div₁ / P₀ + g

Div₁ = $3.53 x 1.032 = $3.64296P₀ = $68.69g = 3.2%

Re = $3.64296/$68.69 + 3.2% = 8.5%

Personally, I would consider the second calculation to be more exact since the market knows better.


Related Questions

ILL GIVE BRAINLIEST!! HELP ASAP!!

Answers

Answer:

Fedurary

Explanation:

I think it is Fedurary

Answer:

April

Explanation:

I searched it up on Google and this is what it said:

"April 15 is supposed to be the official tax deadline to file your federal income tax return each year, but that date isn't carved in stone. "

How trade in basic goods, as well as luxury items, was essential for the survival of states such as Tula, or the Maya?

Answers

Answer:Trade in Maya civilization was a crucial factor in maintaining Maya cities.Chief staples of Maya...They also engaged in long range trade of almost any other necessities such as salt,potato,stone and luxury items...

Explanation: I HOPE IT HELP TYSM!

Trade was essential to the survival of Maya cities during their era. The main staples of the Maya... They also traded practically any other necessity, like salt, potatoes, stones, and luxury goods, over considerable distances.

What is Trade?

Transferring products and services from one person or institution to another includes trade, frequently in exchange for cash. A system or network that permits trading is referred to as a market by economists.

Trade typically refers to international trade, the system of exports and imports that binds the world economy, in macroeconomics. An export is a good that is sold to the international market, and an import is a good that is obtained from the international market. For well-connected economies, exports can be a significant source of income.

International commerce boosts productivity and enables nations to gain from FDI (foreign direct investment) made by companies in other nations. FDI can increase employment and skill levels locally by bringing in foreign capital and expertise. FDI offers business expansion and growth to investors, which finally results in better revenues.

To know more about  Trade follow the link.

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If scientists discover that steamed milk, which is used to make lattés, prevents heart attacks, what would happen to the equilibrium price and quantity of lattes?

a. Both the equilibrium price and quantity would increase.
b. Both the equilibrium price and quantity would decrease.
c. The equilibrium price would increase, and the equilibrium quantity would decrease.
d. The equilibrium price would decrease, and the equilibrium quantity would increase.

Answers

Answer:

a. Both the equilibrium price and quantity would increase.

Explanation:

The point on a demand-supply graph where the demand curve and the supply curve intersects is known as the point of equilibrium.

If scientists discover that steamed milk, which is used to make lattés, prevents heart attacks, what would happen to the equilibrium price and quantity of lattés is that, both the equilibrium price and quantity would increase.

This simply means that, whatever makes the factors of production such as, land, labor, entrepreneurship, capital, or efficiency to either go up or down would certainly result in fluctuations in the economy of a particular country.

Aggregate supply (AS) refers to the total quantity of output (goods and services) that firms are willing to produce and sell at a given price in an economy at a particular period of time.

Aggregate demand (AD) can be defined as the total quantity of output (final goods and services) that is demanded by consumers at all possible price levels in an economy at a particular time.

On a standard Aggregate demand (AD)-Aggregate supply (AS) curve, the y axis denotes the Price (P) of goods and services while the x axis typically denotes the Output (Q) of final goods and services.

In the short-run, a rightward shift in the aggregate supply (AS) curve causes output to increase and result in a price fall (lower price) while a rightward shift in the aggregate demand (AD) curve also cause output to increase and rise in prices.

The short-run nominal fluctuations basically cause a change in the level of production. In the short-run, as a result of a shift in the aggregate supply; an increase in money consequently to result in increase the level of production (output).

Hence, more goods are produced as a result of the increased output (supply) and more goods would be purchased as a result of their lower prices.

Zhao Co. has fixed costs of $429,000. Its single product sells for $187 per unit, and variable costs are $122 per unit. If the company
expects sales of 10,000 units, compute its margin of safety in dollars and as a percent of expected sales.
Dollars
Percent
Margin of safety

Answers

Answer:

$635,000 and : 34%

Explanation:

Margins of safety is the difference between expected sales and the break-even point.

For Zhao, expected sales are 10,000 units

The break-even points in units = fixed cost/ contribution margin per unit

fixed costs = $429,000

Contribution margin per unit = selling price - variable costs per unit

=$187 -  $122

=$65

break-even point in units = $429,000/$65

break-even point = 6600 units

Margin of safety = 10,000 - 6600 units

=3400 units

In dollars is equal to margin of safety in units x selling price

=3400 x 187

=$635,000

as a percent of expected sales.

=3400/10000 x 100

=0.34 x 10,000

=34%

On September 1, Emil Rovey purchased a vehicle for $98,000 with a residual value of $5,000. The estimated useful life is 10 years and the company uses the straight-line method. What is the depreciation expense for the year ended December 31?

Answers

Answer:Depreciation expense for the year ended December 31=$3, 100

Explanation:

Depreciation expense for the year using straight line depreciation is given as

First, we calculate the Annual Depreciation

Annual Depreciation = Purchase cost - Residual value/ Number of years

= $98,000 - $5,000 / 10

$93,000 /10

$9300.

Annual depreciation = $9,300,

Therefore, Depreciation expense for year ended December 31.

Annual Depreciation x Period of usage

$9,300 x 4/12 ( September to December

Depreciation expense=$3, 100

 

Last year's asset turnover ratio was 2.0. Sales have increased by 25% and total assets have increased by 10% since that time. What is the current asset turnover ratio?

a. 1.82
b. 2.05
c. 2.15
d. 2.27

Answers

Answer: d. 2.27

Explanation:

Asset Turnover = Total sales / Average Assets

Last years turnover ratio was 2.0 so assume Sales were $20 and Assets were $10 which would give the turnover of 2.0

The new turnover would be;

= (20 * 1.25)/(10 * 1.1)

= 25/11

= 2.27

Balance sheet is a statement of what?​

Answers

Answer:

I need points sorry

Explanation:

Which is the most accurate definition of body language?
inappropriate comments about a coworker's size or shape
nonverbal communication of a person's thoughts and attitudes
slang words used to discuss people who aren't in the room
the range of words a person uses in verbal communication​

Answers

Answer:

nonverbal communication of a person's thoughts and attitudes

Explanation:

I think

Using _____ requires gathering a lot of information about customers’ preferences and shopping patterns, and some customers get impatient with answering long surveys about their preferences.

Answers

Answer:

Personalization.

Explanation:

Using personalization in customer relationship management (CRM) requires gathering a lot of information about customers’ preferences and shopping patterns, and some customers get impatient with answering long surveys about their preferences.

This ultimately implies that, personalization deals with gathering information about a specific customer's choice such as taste, requirements, product preferences, shopping styles or patterns in order to be able to serve him or her better, through the provision of goods and services that meets their needs.

Neoclassical economists focus on the economy ________. a. in the long-run b. in the short-run c. when it is experiencing a prolonged recession d. at the natural rate of unemploymen

Answers

Answer: in the long run.

Explanation:

Neoclassical Economics focuses on the economy in the long run. According to the Neoclassical Economics, the aim of the government should be on how to control inflation in the economy and also on the long term growth of the economy.

They believe that government should worry less on certain issues such as cyclical unemployment as this is a short term phenomena.

Findell Corporation is considering two projects, A and B, and it has gathered the following estimates for the projects Project A Project B Useful life 5 Years 5 Years Present value of cash inflows $84,360 $55,100 Present value of cash outflows 77,000 49,000 What is the present value index for Project A?a. 1.096.b. 0.913.c. 1.124.d. 0.889.

Answers

Answer:

a. 1.096

Explanation:

The present value index is the same as the profitablility index(PI), which is computed by dividing the present value of future cash inflows by the initial investment(the present value of cash outflows). A profitability of above 1 means that the project is viable as the numerator(PV of cash inflows) exceeds the denominator( initial cash outlay).

Project A PI index= Present value of cash inflows/Present value of cash outflows

Project A PI index= $84,360/$77,000

Project A PI index= 1.096  

Assume a stock has a value of $100. The stock is expected to pay a dividend of $2 per share at year-end. An at-the-money European-style put option with one-year maturity sells for $7. If the annual interest rate is 5%, what must be the price of a 1-year at-the-money European call option on the stock?

Answers

Answer:

$9.86

Explanation:

Calculation for the call option on the stock

Call option=$100−($100/1.05)−($2/1.05)+$7

Call option=$100−$95.238−$1.91+$7

Call option= $9.86

Therefore what must be the price of a 1-year at-the-money European call option on the stock is $9.86

As part of a good Section 351 transaction Andy contributes his business with a basis of $200,000 in exchange for $300,000 worth of stock and $50,000 of cash. What gain does Andy recognize?

Answers

Answer:

Gain = $150,000

Explanation:

Given:

Contribution = $200,000

Exchange stock = $300,000

Cash = $50,000

Find:

Gain

Computation:

Gain = Exchange stock + Cash - Contribution

Gain = $300,000 + $50,000 - $200,000

Gain = $150,000


prepare adjusting entry

florenda quino forwarders borrowed 600,000 from the bank on September 1 2013. The note carried an % annual rate of interest and was set to mature on feb 28, 2014 interest and principal we're paid in cash on the maturity date

required

1. what was the amount of interest expense paid in cash in 2013?
2. what was the amount of interest expense recognized on the 2013 income statement ?
3.what was the amount of the total liabilities shown on the 2013 balance sheet ?
4. what was the total amount of cash that was paid to the bank on feb 28, 2014 for principal and interest?
5. what was the amount of interest expense shown on the 2014 income statement?

Answers

Answer:

the interest rate is missing, so I looked for similar questions and found that it is 8%:

1. what was the amount of interest expense paid in cash in 2013?

interest expense = $600,000 x 8% x 4/12 = $16,000

2. what was the amount of interest expense recognized on the 2013 income statement ?

$16,000

3.what was the amount of the total liabilities shown on the 2013 balance sheet ?

notes payable $600,000

interest payable $16,000

total $616,000

4. what was the total amount of cash that was paid to the bank on feb 28, 2014 for principal and interest?

total interest expense = $600,000 x 8% x 6/12 = $24,000

total cash paid = $624,000

5. what was the amount of interest expense shown on the 2014 income statement?

interest expense 2014 = $24,000 - $16,000 = $8,000

1. The amount of interest that Florenda Quino Forwarders paid in 2013 was $0.

2. The amount of interest that Florenda Quino recognized on the 2013 income statement was $16,000.

3. The amount of the total liabilities that Florenda Quino showed on its 2013 balance sheet for this bank loan was $616,000.

4. The total amount of cash that Florenda Quino paid to the bank on February 28, 2014, was $624,000.

5. The amount of interest expense shown on Florenda Quino's 2014 income statement was $8,000.

Data and Calculations:

Bank loan on Sept. 1, 2013 = $600,000

Annual interest rate = 8%

Maturity date = February 28, 2014

Maturity period = 6 months

Interest recognized in 2013 = $16,000 ($600,000 x 8% x 4/12)

Interest for one month = $4,000 ($600,000 x 8% x 1/12)

Interest for six months = $24,000 ($600,000 x 8% x 6/12)

Interest recognized in 2014 = $8,000 ($600,000 x 8% x 2/12)

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One of Hartman Company's activity cost pools is inspecting, with estimated overhead of $140,000. Hartman produces throw rugs (700 inspections) and area rugs (1,300 inspections). How much of the inspecting cost pool should be assigned to area rugs?

a. 75,384
b. 70,000
c. 140,000
d. 49,000

Answers

The options provided are incorrect. The correct answer is as follows

Answer:

Area rugs = $91000

Explanation:

The overheads of the cost pool should be divided among the rugs based on the number of inspections carried out under each category divided by the total number of inspections in the cost pool. The division should be such that,

Inspection cost division

Throw rugs = 140000 * 700 / (700+1300)

Throw rugs = $49000

Area rugs = 140000 * 1300 / (700+1300)

Area rugs = $91000

14. Sabino Inc. manufactures widgets at a variable
cost of $1.05 per unit and has a fixed cost of
$404,000. If the sales price is $2.50, how many must
be made and sold to break even?

A. 156,992
B. 278,621
C. 287, 301
D. Impossible to break even

Answers

Answer:

B. 278,621

Explanation:

The break-even point is equal to fixed cost divided by contribution margin per unit from the contribution margin concept.

Break-even point = Fixed costs/ contribution margin per unit

contribution margin per unit = selling price- variable cost

In this case,

fixed costs are $404,000.

selling price $2.50,

variable cost  $1.05

Contribution margin per unit : $2.50-$1.05= $1.45

Break-even point = $404,000/ $1.45

=278,620.689

=278,621 units

McDonald's is a major company in the restaurant business

Answers

If the question is tru or false then true

which of the following would be part of a
financial managers investment decision?
a) Spending money on wovenie experdiduse
b) Spending money on Capital expenditure
a Borrowing funds
d) Raising money using equity Finance​

Answers

Answer:

D

Explanation:

because iring gi gapos

Swifty Corporation’s April 30 inventory was destroyed by fire. January 1 inventory was $159,400, and purchases for January through April totaled $504,000. Sales revenue for the same period was $671,100. Swifty’s normal gross profit percentage is 35% on sales.

Using the gross profit method, estimate Swifty’s April 30 inventory that was destroyed by fire.

Answers

Answer:

$226,000

Explanation:

Ending Inventory As of April 30, is the ending inventory from January to April.

Opening inventory = $159,409

Purchases = $504,000

gross profit =35% of  $671,100

=0.35 x 671,000

=234,000

cost of goods sold = revenue - gross profit

=$671,100 - $234,000

=$437, 000

cost of goods sold = opening inventory + purchases- ending inventory

=$437, 000=  $159,409 +  $504,000- ending inventory

=$437,000= $663,409- ending inventory.

Ending inventory =  $663,409 - $437,000

=$226,000

What is the main impact of 24/7 digital media on isssue monitoring, managing, and reporthing, on pr planning?

Answers

Answer:

I genuinely don't know

The adjusted trial balance for Chiara Company as of December 31 follows.


Debit Credit

Cash 69,000

Accounts receivable 54,000

Interest receivable 22,000

Notes receivable (due in 90 days) 170,500

Office supplies 16,500

Automobiles 171,000

Accumulated depreciation—Automobiles 70,000

Equipment 142,000

Answers

Answer:

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The AstroNews has experienced a decline in the number of subscriptions to its printednewspaper over the last 5 years. It seems people prefer news feeds sent directly to their smartphones than a printed paper delivered to their homes. (12 Marks)
a)Which component in the externalenvironmentmay havecaused it? Write in detail (Please mention and highlight the name of that element in bold).(2 marks) (100 words minimum)

b) If you think it’s a demographical change, write down all the detail of its further elements for instance age,gender,family size etc. Also discuss what and how each of it has created a change in the environment. Ifno, suggest some other factor.

Answers

Answer:

a) I believe that it is a combination of changes in both the demographic component of the business environment and technological changes that made this possible. Every time I think about how many things were replaced by the smartphone, it just amazes me. When I was little, my father used a camcorder to make videos, a camera to take photos, he needed a watch, a lantern, a telephone, an agenda, a calculator, and a long list of other things.

If I had to carry all these around with me, I would need a huge backpack. Instead, I use a smartphone and everyone I know uses one also. I doubt that there is any person under 40 or 50 years old that could "survive" without their smartphone.

Who needs printed news? The only possible answer is people who do not know how to use a smartphone. This is a good change from an environmental point of view, i.e. less paper = less trash = less trees cut down = happier planet.

b) As I said before, no one under 50 (or maybe even older) can manage to live without their smartphone. Technology has become part of our lives, and it doesn't matter if you are a man or a woman, the effect is the same. Smartphones have become such an important part of our lives that 81% of adults in America own one. If you could segregate that statistic by decades, I'm sure that over 99% of people under 50 use them.

It doesn't matter if you are poor or rich. If your family is large or small. If you graduated from college or not. Everyone uses smartphones and what happened to AstroNews happened to the New York Times, Washington Post, and every other single newspaper. It is also affecting news channels like CNN or Fox news, so even cable TV is obsolete compared to smartphone apps.  

Dee's credit card has an APR of 17%, calculated on the previous monthly
balance, and Dee makes a payment of $50 every month. Her credit card
record for the last 7 months is shown in the table below.
End of Previous New Payment Finance Principal New
month
balance charges received charges
paid balance
$0.00 $122.00 $0.00
$0.00
$0.00 $122.00
2. $122.00 $56.00
$50.00
?
$48.27 $129.73
3
$129.73 $98.00 $50.00
$1.84 $48.16 $179.57
4
$179.57 $237.00 $50 00 $2.54 $47 46 $369.11
5
$369.11 $75.00 $50.00
$5.23 $44.77 $399.34
6
$399.34 $39.00 $50.00
$5.66 $44.34 $394.00
7 $394 00 $118.00 $50.00 $5.58 $44 42 $467.58
What were the finance charges in month 2?

Answers

Answer:

d

Explanation:

Answer: $1.73

Explanation:

PQR Corporation has a Beta of 1.5. The risk-free rate is 6%, and the market risk premium is 9%. What is the required rate of return of PQR?

Josh has a portfolio of two stocks, Stocks A has a Beta of 2.4 and stock B has a Beta of 0.9. Funds are allocated with 60% in Stock A and 40% in Stock B. If the T-bill rate is 4%, and the market expected return is 13%, what is the required return on the portfolio?

A stock provides the following returns:

Year 1 6%
Year 2 10%
Year 3 -6%

What is the geometric average return?

Answers

Answer:

1. Using CAPM, the required return is;

Required return = risk free rate + beta * market risk premium

= 6% + 1.5 * 9%

= 19.5%

2. First find the portfolio beta which is a weighted average of the individual betas;

= (60% * 2.4) + (40% * 0.9)

= 1.8

Now use CAPM

= risk free rate + beta * (Market return - risk free rate)

= 4% + 1.8 * (13% - 4%)

= 20.2%

3.Geometric average can be calculated by;

=( ((1 + r1) * (1 + r2) * (1 + r3)) ^1/n) - 1

= (((1 + 6%) * (1 + 10%) * (1 - 6%)) ^ 1/3) - 1

= ‭(1.09604‬^1/3) - 1

= 3.1%

The cost of a piece of equipment is $80,000; it has a 5 year life, and an estimated salvage value of $5,000.

Required:
a. What is the amount of depreciation expense for the first full year the company owns the equipment if the company adopts the straight-line method?
b. What is the journal entry the company would make to record depreciation expense?
c. What is the book value of the equipment after it has been owned for 1 full year (hint use part a)?
d. What is the amount of depreciation for the first year if the company did not purchase the equipment until July 1st and uses the straight-line method?
e. What is the book value of the equipment after it has been owned for 1/2 years?

Answers

Answer:

a. What is the amount of depreciation expense for the first full year the company owns the equipment if the company adopts the straight-line method?

depreciable value = $80,000 - $5,000 = $75,000

depreciation expense per year = $75,000 / 5 years = $15,000

b. What is the journal entry the company would make to record depreciation expense?

December 31, 202x, depreciation expense

Dr Depreciation expense 15,000

    Cr Accumulated depreciation - equipment 15,000

c. What is the book value of the equipment after it has been owned for 1 full year (hint use part a)?

book value = purchase price - accumulated depreciation = $80,000 - $15,000 = $65,000

d. What is the amount of depreciation for the first year if the company did not purchase the equipment until July 1st and uses the straight-line method?

depreciation expense = $15,000 x 1/2 = $7,500

e. What is the book value of the equipment after it has been owned for 1/2 years?

book value = $80,000 - $7,500 = $72,500

a. On April 1, the company hired an attorney for a flat monthly fee of $500. Payment for April legal services was made by the company on May 12.

b. As of April 30, $2,007 of interest expense has accrued on a note payable. The full interest payment of $6,020 on the note is due on May 20

c. Total weekly salaries expense for all employees is $14,000. This amount is paid at the end of the day on Friday of each five-day workweek. April 30 falls on a Tuesday, which means that the employees had worked two days since the last payday. The next payday is May 3.

The above three separate situations require adjusting journal entries to prepare financial statements as of April 30.

For each situation, present both the April 30 adjusting entry and the subsequent entry during May to record payment of the accrued expenses. (Do not round intermediate calculations.)

Answers

Answer and Explanation:

The journal entries are shown below:

1   Legal fees expense $500

            To Legal fees payable $500

(Being accrued expense is recorded)  

2 Legal fees payable $500

        To Cash $500

(Being amount paid is recorded)  

3   Interest expense $2,007

          To Interest payable $2,007

(Being accrued interest is recorded)  

4 Interest payable $2,007

  Interest expense  $4,013  

            To Cash $6,020

(Being interest paid is recorded)  

5   Salaries and wages expense $11,200

         To Salaries and wages payable $11,200

(Being accrued expense is recorded)  

6 Salaries and wages payable $11,200

  Salaries and wages expense $2,800

                   To Cash $14,000

(Being salaries and wages paid is recorded)  

Dearborn Supplies has total sales of $193 ​million, assets of $110 ​million, a return on equity of 26 ​percent, and a net profit margin of 7.5 percent. What is the​ firm's debt​ ratio

Answers

Answer:

49.39%

Explanation:

The net income = sales x profit

= 193million x 7.5 percent

= 14 475 million dollars

The return on equity

= Net income/total equity

= 14.475/26%

= $55.67 million

Total debt = total asset-total equity

= 110million - 55.67

= $54.34 million

The debt ratio = total debt/total assets

= 54.33/110

= 0.4939

= 49.39%

49.39% is the firms debt ratio.

On January 1, 2018, Sanderson, Inc. acquired a machine for $1,110,000. The estimated useful life of the asset is five years. Residual value at the end of five years is estimated to be $91,000. What is the book value of the machine at the end of 2019 if the company uses the straight-line method of depreciation? Group of answer choices $666,000 $702,400 $611,400 $665,996

Answers

Answer:

$702,400

Explanation:

Calculation for the book value of the machine at the end of 2019

First step is to calculate the Depreciation using the straight-line method

Using this formula

Depreciation= (Cost - Residual value) / Useful life

Let plug in the formula

Depreciation = ($1,110,000 - $91,000) / 5

Depreciation= $203,800

Last step is to calculate Book value

Machine Book value = $1,110,000 - $203,800 - $203,800

Machine Book value = $702,400

Therefore the the book value of the machine at the end of 2019 will be $702,400

Is a ledger a group of accounts and their balances?

Answers

The group of accounts maintained by a company. -The entire group of accounts maintained by a company is called ledger. A ledger balance is computed by a bank at the end of each business day and includes all withdrawals and deposits to calculate the total amount of money in a bank account

Grayson Company is considering a purchase of equipment that costs $49,000 and is expected to offer annual cash inflows of $13,000. Grayson's minimum required rate of return is 10%. How many years must the cash flows last for the investment to be acceptable?A) 3 Years.
B) 4 Years.
C) 5 Years.
D) 6 Years.

Answers

Answer: c is correct

Explanation:pls give brainlist

the correct answer is c
Other Questions
The girl shivered as the cold wind blew across her face. Which is the adjective in the sentence? 3/7 x 1/3 x 7/8 (fractions) and also in simplify these bugs are not drawn up to scale what does that mean which inequality matches the graph? Avec le festival Solidays vouspouvez faire une bonne action ...(couter) de la musique.En effet, ce festival donne une partiede ses bnfices la lutte contre le SIDA.Les personnes... (souhaiter) apporter leuraide peuvent donc le faire simplement...(acheter une place pour le festival.Cependant les personnes ne... (pouvoir) passe rendre Paris ont la possibilit d'apporterleur don sur la page web du festival.Profitez de cette formidable occasion de vousamuser tout... (aider) la recherche scientifique. Which of the following problems is more likely to cause disease during aquaculture farming? (3 points)-Aquaculture wastewater cleared by ocean currents-Large density of fish in a small holding area-Non-native fish enter aquaculture ponds from a river-Increase in fish production from aquaculture farming Which Greek scholar wrote the work The Republica. ThucydidesC. Platob. Aristotled. none of these 1.Let x, y be any two numbers that satisfies the conditions x 0, y 0, and x 1xy 02. A pickup truck that can hold up to 3000 pounds is carrying a big machine that is 300 pounds and a few smaller ones that each weigh 60 pounds.At least how many small machines can you fit so that it will not exceed the weight limit of the truck?(1 point)no more than 50no more than 45no less than 50no less than 453. It usually takes Claude 40 minutes driving at 48 miles per hour to go from home to work. But due to road maintenance today, Claude has to take a detour, which makes the trip 8 miles longer than usual. What is the minimum speed Claude should travel so that he can reach the destination in less than 48 minutes?56 miles per hour30 miles per hour64 miles per hour50 miles per hour4. Raphael is timing how fast he can do a series of 5 math questions, aiming to complete them in less than 20 minutes. He has done 3 questions so far, with each of them taking 3 minutes to complete.On average, how much time does Raphael have on each remaining question so he can reach his goal?Raphael has no more than 5 minutes and 50 seconds to complete each remaining question.Raphael has less than 5 minutes and 50 seconds to complete each remaining question.Raphael has less than 5 minutes and 30 seconds to complete each remaining question.Raphael has no more than 5 minutes and 30 seconds to complete each remaining question.5. A retail store is buying a 500 count for a device and another 200 count for another version of the same device that costs $100 less than the original. What is the maximum cost of the original device, given that the store did not go over the budget of $155,000?no more than $150less than $250less than $150no more than $250 Which of the following is NOT a limitation put upon aliens living in the United States?They cannot hold jobs.They must register with the USCIS.They cannot vote.They cannot hold public office. If you have 1.26 x 10^24 molecules, how many moles do you have? What do you notice about the water molecules? A ___ is the amount of heat needed to raise the temperature of one kilogram of water one degree Centigrade.Please help me out Carol bought a coloring book. It is 11 inches long and 8 inches wide. What is the diagonal length of the book? PLEASE PLEASE HELP I WILL GIVE BRAINALSIT Find the slope of a line passing through the points (3,2) and (-1,8). What is power the quotient of?A.speed and energyB.work and time C.speed and distance D.work and distance The set of whole numbers is not a subset OF--I WILL MARK BRAINLIESTA. Natural NumbersB. IntegersC. Rational NumbersD. Real Numbers What are some chemical changes in oxygen? Plenty of food, water and suitable temperature are the conditions required for the growth of fungi. Is it true or false? What type of spacing should you use for a cover letter?A. Single spacingB. Double spacingC. Triple spacingD. Half spacing