You know the total amount, 32.00, and the cost of each gallon, 1.60, so you can make an equation using x as the amount of gallons bought.
1.60x = 32.00
Now just divide 32.00 by 1.60
x= 32.00/1.60
x= 20
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X = 5, that’s the answer to question 12
the complete question is
Find two numbers whose difference is 46 and whose product is a minimum
Let
x------->larger number
y-------> smaller number
P-------> product of the two numbers
we know that
-----> equation 1
-----> equation 2
substitute equation 1 in equation 2
![P=x*[x-46]\\ P=x^{2} -46x](https://tex.z-dn.net/?f=%20P%3Dx%2A%5Bx-46%5D%5C%5C%20P%3Dx%5E%7B2%7D%20-46x%20)
using a graph tool
see the attached figure
Find the value of x for that the product P is a minimum
the vertex is the point 
that means, for 
the product is a minimum 
find the value of y
therefore
the answer is
the numbers are 
and 
Answer:
1000
Step-by-step explanation!
The formula for the amount accrued [ƒ(x)] on an investment earning compound interest is f(t) = P(1 + r)^t where:
P = the amount of money invested (the principal)
r = the interest rate per payment period expressed as a decimal fraction
t = the number of periods
Your formula is
f(x) = 1000(1 + 0.05)^x
In comparison, we can see that the term that represents the amount of money originally invested is 1000.
