We invested $7000 invested in two accounts, we don't know how much exactly is in each account, therefore we will assign variables to these amounts. The amount invested in the "8%" account is "x", while the other one is "y". The sum of these two numbers must be equal to $7000, therefore:
The sum of interest of each account should be equal to 580, therefore:
We need to solve the system in order to determine the values.
Now we can replace the value of "x" in the first equation to determine the value of "y".
The values are 6500 in the 8% account and 500 in the 12% account.
Answer: (A) vertical asymptote: x = 2, horizontal asymptote: y = 1
<u>Step-by-step explanation:</u>
<u>Vertical Asymptote</u> is the restriction on the x-value. The denominator cannot be zero, so x - 2 ≠ 0 ⇒ x ≠ 2
The restricted value on x is when x = 2 <em>which is the vertical asymptote</em>
<u>Horizontal Asymptote</u> (H.A.) is the restriction on the y-value. This is a comparison of the numerator (n) and denominator (m). There are 3 rules that will help you:
- n > m No H.A. (use long division to find slant asymptote)
- n = m H.A. is the coefficient of n divided by coefficient of m
- n < m H.A. is 0
In the given problem, n < m so y = 0, however there is also a vertical shift of up 1 so the H.A. also shifts up. This results in H.A. of y = 1
The retail price is $50 because 25% of 40 is 10 and 10+40=50.
Answer:
A:The city of Chicago was restored after the fire of 1871, as many structures were rebuilt at a rapid pace.
Step-by-step explanation: credit to beverlymichelle in the comments
It was complicated but I did it
