Haley needs to rent a moving van for the day. company a charges $75 plus $0.25 per mile. company b charges $50 plus $0.75 per mile. for how many miles is company b less expensive than company a?

Haley needs to rent. Till 49.99 miles, Company B will be less expensive than company A.

Solution:

Given that  

Haley needs to rent a moving van for the day.

Charges of company A are $75 plus $0.25 per miles  

That means $75 is fixed price and $0.25 depends on travelling miles.

Charges of company B are $50 plus $0.75 per miles  That means $50 is fixed price and $0.75 depends on travelling miles.

Need to calculate for how many miles is company B less expensive than company A.

Let’s assume for "x" miles company B is less expensive than company A.

Lets create expression for charges of each company for "x" miles.

For company A,

Fixed charges = $75

For 1 mile charges = $0.25

So for x miles = 0.25x

Total charges of company A for x miles

For company B,

Fixed charges = $50  

For 1 mile charges = $0.75

So for x miles = 0.75x

Total charges of company B for x miles  

we need to find value of x such that  

=> 50 + 0.75x < 75 + 0.25x

=> 0.75x - 0.25x < 75 – 50

=> 0.5x < 25

=> x < 50

So till 49.99 miles , Company B will be less expensive than company A.

At 50 miles charges of both the company will be same.  

$33

Step-by-step explanation:

The price at the end of the week is $33.

Step-by-step explanation:

We are given that on Monday the price of a company’s stock is $30 per share. On Tuesday, the stock price drops $3, on Wednesday it rises $7, on Thursday it rises $3, and on Friday it drops $4.

The price of a company’s stock on Monday = $30 per share

So, the mathematical statement that represents the situation is given by;

Price of company’s stock on Monday = $30

On Tuesday, the stock price drops $3, so the price of company’s stock on Tuesday = Price of company’s stock on Monday - Drop in price on Tuesday

             = $30 - $3 = $27

On Wednesday, the stock price rises $7, so the price of company’s stock on Wednesday = Price of company’s stock on Tuesday + Rise in price on Wednesday

             = $27 + $7 = $34

On Thursday, the stock price rises $3, so the price of company’s stock on Thursday = Price of company’s stock on Wednesday + Rise in price on Thursday

             = $34 + $3 = $37

On Friday, the stock price drops $4, so the price of company’s stock on Friday = Price of company’s stock on Thursday - Drop in price on Friday

             = $37 - $4 = $33

Hence, the price at the end of the week is $33.