Answer:
6 weeks
Step-by-step explanation:
x = # of weeks
15 times 8 times 5 = 1 week,
so 15 times 8 times 5 times x = 3600 is the equation
Solve for x to get x = 6
Answer:
Step-by-step explanation:
Not exactly sure what your question is - I am assuming that it is something like:
Show/prove that for any integer x, x^2 - x is even.
Suppose that x is an even integer. The product of an even integer and any other integer is always even (x = 2n, so x * y = 2 n * y which is even. Therefore x^2 is even. An even minus an even is even. (The definition of an even number is that it is divisible by 2 or has a factor of 2. So the difference of even numbers could be written as 2*( the difference of the two numbers divided by 2); therefore the difference is even)
Suppose that x is an odd integer. The product of 2 odd numbers is odd - each odd number can be written as the sum of an even number and 1; multiplying the even parts with each other and 1 will produce even; multiplying the 1's will produce 1, so the product can be written as the sum of an even number and 1 - which is an odd number. The difference between two odd numbers is even - the difference between the even parts is even (argument above), the difference between 1 and 1 is zero, so the result of the difference is even.
x^2 is therefore even if x is even and odd if x is odd; The difference x^2 - x is even by the arguments above.
Answer:
392
Step-by-step explanation:
Do you need step-by-step? If you do, just let me know and I am happy to write it out in the comments : )
Answer:
y = 100,000 + 3500x
$142,000
Step-by-step explanation:
a. The fixed cost is 100,000 while appreciation is 3, 500/year.
Now after x years, total appreciation equals 3,500 × x = 3500x
The total amount in dollars is thus :
y = 100,000 + 3500x.
b. The value of the house in 12 years.
Since y = 100,000 + 3500x, here, y = ? and x = 12.
y = 100,000 + 3500(12) = 100,000 + 42,000 = $142,000
