His weekly allowance is 14$
        
             
        
        
        
Hello! I can help you with this!
a. The function that would best represent Samantha's account is f(5) = 500(1 + 0.04)^5. This is because $500 is the principal, the interest rate is 4%, and we're looking for the amount in the savings account 5 years later.
b. Okay. 1 = 0.04 is 1.04. 1.04^5 is 1.216652902. It's a long decimal, but don't delete it. Multiply that decimal by 500 and you get 608.32645 and other numbers behind it or 608 when rounded to the nearest dollar. Samantha will have about $608 in her savings account in 5 years.
Note: The formula goes like this: f(x) = P(1 + r)^x. This means, you add 1 and the simple interest rate in decimal form together and raise that up by the exponent. There is no shortcuts for this, so you'll have to use the calculator. There will be a very long decimal, but don't clear it. Instead, multiply it by the principal to get the answer. It seems very complicating, but if you do this right, it gets easier overtime and you'll make less errors. There are more complex problems out there, so this formula is very important, but it was kept simple for this question.
        
             
        
        
        

and surely you know how much that is.
 
        
             
        
        
        
Th coffee seller must have sold 130 coffee case but for him to make at least $3650, he must've sold 131 cups of coffee
Data;
- monthly salary = $3500
- commission = $12
- amount due for commission = $100
- cost of coffee = $25
- total amount = $3650
<h3>Word Problem</h3>
These are verbal expressions used to represent mathematical problems and if we want to solve them, we must translate them into equations.
If his total pay is $3650 and he earns a commission of $12 for every $100 coffee sold.
How many coffee case are inside $100

This shows that for every 4 coffee case sold, she made ($100 + $12) as profit.
If 4 coffee = $112
how many coffee will give us $3650

From the calculations above, he must've sold at least 131 cups of coffee to make $3650.
Learn more on word problems here;
brainly.com/question/21405634
 
        
                    
             
        
        
        
Answer:
6 StartRoot 3 EndRoot units
Step-by-step explanation: