Answer:
1282.81824016
Step-by-step explanation:
Find the volume of the cone (the formula is π×r²×h/3) and the volume is 359.19
Now find the volume of the cylinder which is 923.6282401554 and we just add them together which is 1282.81824016
 
        
                    
             
        
        
        
Answer:
Step-by-step explanation:
 
        
             
        
        
        
Answer:
Jimmy's account balance will be $673.43 after 10 years.
Step-by-step explanation:
The compound interest formula is given by:

Where A is the amount of money, P is the principal(the initial sum of money), r is the interest rate(as a decimal value), n is the number of times that interest is compounded per unit t and t is the time the money is invested or borrowed for.
In this problem, we have that:

What will Jimmy’s account balance be after 10 years if the interest is compounded 2 times each year?


Jimmy's account balance will be $673.43 after 10 years.
 
        
             
        
        
        
The value of the function f(g) after simplifying and putting 2 in place of <em>x</em> is -20 and the value of f(g(2)) is 418.
<h3>What is composite function?</h3>
When a function is written inside the another function, then such function is called the composite function.
The first function given in the problem is,
 
The second function given,
 
 
To find out the value of g(2), put the 2 on place of variable x in the above equation as,

The composite function f(g(x)) can be given as,

Thus, the value of the function f(g) after simplifying and putting 2 in place of <em>x</em> is -20 and the value of f(g(2)) is 418.
 
Learn more about the composite function here:
brainly.com/question/10687170
 
        
             
        
        
        
For this case, the first thing we must do is define a variable.
 We have then:
 p: rate in miles per hour for the last 1.5 hours
 We now write the equation that models the problem.
 We have then: 

 Rewriting we have: 

 From here, we clear the value of p.
 We have then: 
 Answer:
 Answer:
 DeAngelo's rate for the last 1.5 hours of his run is 7 miles per hour.