1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
yanalaym [24]
3 years ago
14

A truck is to be driven 300 miles on a freeway at a constant speed of x miles per hour. Speed laws require that 35 ≤ x ≤ 55. Ass

ume that fuel costs $1.35 per gallon and is consumed at the rate of 2 + 1 600 %01 x 2 galloons per hour. Given that the driver’s wages are $13 per hour, at what speed should the truck be driven to minimize the truck owner’s expenses?
Business
1 answer:
mixer [17]3 years ago
7 0

Answer:

x = 55 Miles per hour

Explanation:

Length of trip, L = 300 miles

If "x" is the velocity in miles per hour, time t taken to complete the trip  = Length / velocity  

t = L / x

There are two components of cost:

The cost per hour for fuel is C dollars, and the driver is paid W dollars per hour.

Hence the cost for the entire trip = The cost per hour for fuel x total number of hours + Hourly cost driver x total number of hours = C*t + W*t

C = 2 + (1/600)*x²,    W = 13.00   and    t = 300 / x

Hence our total cost of the trip,  

TC(x) = (2 + (1/600)*x²)*(300 / x) + 13*(300 / x)  

TC(x) = (4500 / x) + (x / 2)

In order to minimise this total cost, we need to differentiate this with respect to x and equate it to zero:

TC’(x) = ((4500 / x) + (x / 2))’ = 0

(- 4500 / x²) + (1 / 2) = 0

this equation gives x₁ = - 94.868 and x₂ = 94.868

as we know that  35 ≤ x ≤ 55

we can say that x = 55 Miles per hour (which is the maximum value)

You might be interested in
Congratulations! You were the 10th caller on the KMTH morning show and you just won $3,000.00. After you calm down, you decide t
VashaNatasha [74]

Answer:

$4,697.04

Explanation:

In simple words , this question requires us to find the Future Value in 5 years time. We compound the Present Value using the effective interest rate to determine the Future Value of an investment.

<em>PV = $3,000.00</em>

<em>P/YR = 12</em>

<em>N = 5 x 12 = 60</em>

<em>I = 9 %</em>

<em>PMT = $0</em>

<em>FV = ?</em>

Using a Financial calculator to enter the parameters as above the Future Value (FV) is $4,697.04

therefore,

In 5 years time, you will have $4,697.04.

8 0
2 years ago
A State A consumer was in a traffic accident with a State B driver. The State A consumer’s car burst into flames, causing horrif
kupik [55]

Answer: The correct answer is B. Yes, because the State B driver's claim is a proper cross-claim and is within the court's supplemental jurisdiction.

Explanation:

Option B is correct because the State B driver can assert his tort claim against the State B manufacturer. The driver's claim is a proper crossclaim and this is because it arises from the same occurrence as with State A consumer's claim.

4 0
3 years ago
Having just returned from the war in Afghanistan, David has $25,000 in his savings account. His girlfriend suggests that he talk
nexus9112 [7]

Answer:

The correct answer is FALSE.

  • First it's not sound investment advice to put all his savings into an investment because as the narrative rightly points out, he may have other needs.
  • Second, high growth stock are also
  1. high risk
  2. they only pay in the long term only if the company is successful because dividends are re-invested which is one of the reasons the companies grow quickly.

Although they are high risk, they also have great advantages such as:

  1. High growth rate: this means if all goes well David will enjoy a good return on his investment;
  2. It's also a way to protect his money from erosion by inflation

What can David do?

Subject to the advise of a professional investment professional

  1. David needs to take into consideration his immediate needs, set aside some funds to take care of that.
  2. Invest the balance into a mix of high growth rate stock which are high yielding but risky and low growth rate but secure investment like government bonds.
  3. Start a small business by the side or get a job in the interim as he continues with his new life.

Cheers!

7 0
3 years ago
Select the examples that best demonstrate likely tasks for Revenue and Taxation workers. Check all that apply.
ArbitrLikvidat [17]

Awnser: A, B, and E.

3 0
2 years ago
The president believes that a $6,200 increase in the monthly advertising budget, combined with an intensified effort by the sale
nirvana33 [79]

<u>Solution and Explanation:</u>

calculating the increase in the net operating income is as follows:

S.no                    Particulars and explanation                    Amount

1.                    Sales ( $268000 + 84000 )                         352000

2. Contribution ( 1 multiply with 40 percent)                      140000

3. Fied expense ( $119200 plus $6200 )                         125400

4. Net operating income ( 2 step minus 3 step)                $14600

therefore, net operating income increased by $ 14600 plus $12000

Note: the sales were not given, so i have taken or assumed. Please change the figure if there is different figure of sales in the question given.

3 0
3 years ago
Other questions:
  • When there is a full forward cover with the spot rate equal to the forward rate all of the following are true​ EXCEPT: A. The cu
    15·1 answer
  • Blackner corporation produces and sells a single product. data concerning that product appear below: selling price per unit $220
    7·1 answer
  • James Jones, a Florida health inspector, inspected, Caribbean Eats a restaurant owned by Tom Cruise. Jones found several health
    11·1 answer
  • Stagflation occurs when high inflation combines with...
    9·1 answer
  • An economic system:
    11·1 answer
  • Economist Bruce Kirchhoff contends that business failures are much lower than traditionally reported.
    13·1 answer
  • You are working closely with an experienced associate. He insists on completing a task a certain way, but you know there is a mo
    11·1 answer
  • Marston Manufacturing Company is considering a project that requires an investment in new equipment of $3,400,000, with an addit
    15·1 answer
  • Which of the following is true about having a good credit score?
    14·1 answer
  • Short-run macroeconomic equilibrium is when (Hint: Be careful! Be sure to return to the general definition of equilibrium):
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!