With mathematics hw show all the work for each problem given geniuses

7. A great way to do this is to use a recursive routine on a calculator. 
Begin with {5000,0} to represent the starting amount of money and years passed. Hit enter. Then, put in: {Ans(1)x1.06,Ans(2)+1}. 
The first part adds the compounded interest and the second adds a year.
Hit enter until the second value equals 8. You get {7969.24037265,8}. 
Round that to the nearest cent to get $7,969.24 as the investment's value after 8 years. 

9. Let's use the recursive routine again. 
Begin with {1,1} to represent the starting 1 mile on week 1. Hit enter. 
For the second part, use {Ans(1)x1.2, Ans(2)+1}. The first part increases the number of miles and the second goes to the next week. Hit enter until the second value is 10. The result is {6.1917364224,10}. The question says to round to the nearest mile, which is 6 miles. 

4. This recursive routine will be different, since it is decreasing. Instead of multiplying it by something more than one, multiply it by 0.5. Start with {100,0} for the money and weeks. Hit enter. For the second part, use 
{Ans(1)x0.5, Ans(2)+1}. Hit enter until the second value is 5. The result is 
{3.125, 5}. Round to the nearest cent to get $3.13 left after 5 weeks. 

Hope this helps!

B. 2 1/2 feet. multiply 2.5 inches by 12 to get thirty inches then divide by 12 to get 2.5 feet

Hello!

the answer is:

the answer is:

why?

to solve the problem, we need to remember the quotient of power property, it's defined by the following relation:

if we have a quotienf of powers that have the same base, we need to keep the same base and subtract the exponent of the denominator power to the exponent of the numerator power.

so, we are given the expression:

then, calculating we have:

hence, the answer is:

have a nice day!