According to the problem, the length is 2 feet more than its width, which is expressed as the following function

If the width is x, then the length is x+2.
We can express the following function for the area

Let's replace the width x = 11 ft.

<h2>Hence, the area is 143 square feet. </h2><h2>The function for the area is</h2>

Where x represents the width.
 
        
             
        
        
        
 Question 1:
 For this case, the first thing we must do is define variables.
 We have then:
 x: number of nickels
 y: number of dimes
 We write the system of equations that adapts to the problem.
 We have then:
 0.05x + 0.10y = 6.10
 x + y = 67
 Solving the system we have:
 x = 12
 y = 55
 Answer:
 there are 12 nickels
 Question 2:
 For this case, the first thing we must do is define variables.
 We have then:
 x: Allan's score
 y: Dave's score
 We write the system of equations that adapts to the problem.
 We have then:
 x + y = 375
 x = 2y-60
 Solving the system we have:
 x = 230
 y = 145
 Answer:
 Dave: 145 Allan: 230
        
             
        
        
        
Answer:
1.5%.
Step-by-step explanation:
x per cent is written as 0.01x as a decimal fraction.
638.30 = 550(1 + 0.01x)^10
(1 + 0.01x)^10 = 638.30/550
Taking logarithms:
10 ln (1 + 0.01x) = ln ( 638.30/550)
ln (1 + 0.01x) =  ln ( 638.30/550)/ 10
ln(1 + 0.01x) = 0.014889
Converting the logs:-
 1 + 0.01x = e^0.014889 = 1.015
0.01x = 1 - 1.015
0.01x = 0.015
x = 0.015/ 0.01
= 1.5.
 
        
             
        
        
        
Answer: 9006.16
Step-by-step explanation:
In general, the length of billing cycle is at least 15 days and no longer than 90 days.
The finance charge for a billing cycle is $9,006.16.
The new opening balance in the following billing cycle is $29,006.16.