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Applied Mathematics in Hospitality FS25 B

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Applications of linear equations:
Paul invests $ 1400 into an savings account. After 10 months he collects an interest of $ 71

What was the interest rate in his account in percent?
(answer with max. 2 decimal places)

r = ......... %

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Applications of linear equations:

John wants to have an interest of  CHF 811.7 at the end of the year.

How much does he have to invest at an interest rate of 1.2%?

(answer with max. 2 decimal places)

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Applications of linear equations:
Your company had a successful business year and would like to thank each of the 50 employees with a small surprise.

You are responsible for purchasing and have a budget of 30 CHF/employee.

You buy wine and for the 28 Employees who do not drink alcohol, a box of chocolate each.

The wine costs 32 CHF/bottle.

What is the maximum price of a box of chocolate [CHF/box] so that you stay within budget?

wine

chocolate

 employees              

amount            

                                     

                                        

 
cost per piece

 
total cost    [CHF]     

 

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Applications of linear equations:

A magazine is printed by two machines. Machine A needs 11 minutes to print the magazine alone.

Both machines together need 3 minutes to print the magazine.

How long does it take in minutes for machine B to print the magazine alone?

(answer with max. 2 decimal places)

Machine A

Machine B

together
work                                 [magazines]

                           

                         

                             

time                                  [minutes]

11

         3

power= work/time         [magazines/minutes]

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Solving linear equations:

Solve for x:

x=

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Solving linear equations:

Solve for x:

6x - 3 = 1x + 3

(answer with max. 2 decimal places)

x=

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Applications of linear equations:

Mr. Brown puts $ 1745 in a savings account with an interest rate of 2.4%.

How much interest can he collect after one year?

(answer with max. 2 decimal places)

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Applications of linear equations:
Paul invests $ 1600 into an savings account. After 10 months he collects an interest of $ 75

What was the interest rate in his account in percent?
(answer with max. 2 decimal places)

r = ......... %

Переглянути це питання
Applications of linear equations:
Your company had a successful business year and would like to thank each of the 50 employees with a small surprise.

You are responsible for purchasing and have a budget of 30 CHF/employee.

You buy wine and for the 27 Employees who do not drink alcohol, a box of chocolate each.

The wine costs 32 CHF/bottle.

What is the maximum price of a box of chocolate [CHF/box] so that you stay within budget?

wine

chocolate

 employees              

amount            

                                     

                                        

 
cost per piece

 
total cost    [CHF]     

 

Переглянути це питання
Applications of linear equations:

Painter A needs 6 hours to paint the dining room alone.

Painter B needs 10 hours to paint the dining room alone.
How long does it take in hours, if they paint the room together?
(answer with max. 2 decimal places)

Painter A

Painter B

together
work                                 [rooms]

                             

                            

                              

time                                  [hours]

power= work/time         [rooms/hour]

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