Answer:
Jean paid $2,286 for the snow thrower, with a finance charge of $306.
Step-by-step explanation:
Given that Jean bought a $ 1,980 snow thrower through an initial payment of 10% of the initial value, and 18 monthly payments of $ 116, to determine the final price paid by Jean, the following calculation is required:
(1,980 x 0.1) + (18 x 116) = X
198 + 2,088 = X
2,286 = X
Therefore, the final price paid for Jean was $ 2,286.
In turn, the finance charge arises from the difference between the final price and the list price, that is:
2,286 - 1,980 = X
306 = X
Thus, the finance charge is $ 306.
Okay, so let's go over multiplying negative numbers. A positive times a positive is a positive, right? But a negative times a negative is also a positive. Only a negative times a positive (or a positive times a negative) gives you a negative number. So, we know that one of our 2 numbers in this question must be negative; the other must be positive.
Let's now take a look at the factors of -147, starting with the positives. Obviously, -147 and 1 are factors: -147 * 1 = -147. What other factors of -147 are there?
What about 7? Try it: -147 / 7 = -21. So here are two factors: -21, and 7. They multiply to -147. Do they add up to -14? Let's see: -21+7 = 7+(-21) = 7-21= -14. Yup, that works!
Answer: -21 and 7
Answer: Horizontal asymptote is
and vertical asymptotes are ![\pm \dfrac{1}{2i}](https://tex.z-dn.net/?f=%5Cpm%20%5Cdfrac%7B1%7D%7B2i%7D)
Step-by-step explanation:
Since we have given that
![y=\dfrac{x^2-9}{4x^2+1}](https://tex.z-dn.net/?f=y%3D%5Cdfrac%7Bx%5E2-9%7D%7B4x%5E2%2B1%7D)
We need to find the horizontal and vertical asymptotes.
Since vertical asymptotes will occur where the denominator becomes zero.
So, here denominator is ![4x^2+1](https://tex.z-dn.net/?f=4x%5E2%2B1)
Now,
![4x^2+1=0\\\\4x^2=-1\\\\x^2=\dfrac{-1}{4}\\\\x=\pm \dfrac{1}{2i}](https://tex.z-dn.net/?f=4x%5E2%2B1%3D0%5C%5C%5C%5C4x%5E2%3D-1%5C%5C%5C%5Cx%5E2%3D%5Cdfrac%7B-1%7D%7B4%7D%5C%5C%5C%5Cx%3D%5Cpm%20%5Cdfrac%7B1%7D%7B2i%7D)
And the horizontal asympototes will occur when the coefficient of higher degree of numerator is divided by coefficient of higher degree of denominator.
![y=\dfrac{1}{4}](https://tex.z-dn.net/?f=y%3D%5Cdfrac%7B1%7D%7B4%7D)
Hence, horizontal asymptote is
and vertical asymptotes are ![\pm \dfrac{1}{2i}](https://tex.z-dn.net/?f=%5Cpm%20%5Cdfrac%7B1%7D%7B2i%7D)
Answer:
45 pages in 1 hour
Step-by-step explanation:
Find the unit rate by dividing the number of pages by the number of hours
135/3
= 45
This means he can read 45 pages in 1 hour.
The unit rate is 45 pages in 1 hour.