Answer:
Step-by-step explanation:
G(3)= 6+9-2=13
I'm assuming the funds earn 5% yearly?
Call x the amount he saves every year. The first year's deposit will be multiplied by 1.05 three times, the next will be multiplied by 1.05 twice, the third will be multiplied by 1.05 once, and the fourth will not generate interest (as it will immediately be used to buy the car).
Therefore, x(1.05^3+1.05^2+1.05+1)=21000, so 4.31x=21000. Dividing by 4.31, we see that x is approximately equal to 4872.
Answer:
- 3x² is a term in the numerator
- x + 1 is a common factor
- The denominator has 3 terms
Step-by-step explanation:
You can identify terms and count them before you start factoring. Doing so will identify 3x² as a term in the numerator, and will show you there are 3 terms in the denominator.
When you factor the expression, you get ...
![\dfrac{3x^2-3}{3x^2+2x-1}=\dfrac{3(x^2-1)}{(3x-1)(x+1)}=\dfrac{3(x-1)(x+1)}{(3x-1)(x+1)}](https://tex.z-dn.net/?f=%5Cdfrac%7B3x%5E2-3%7D%7B3x%5E2%2B2x-1%7D%3D%5Cdfrac%7B3%28x%5E2-1%29%7D%7B%283x-1%29%28x%2B1%29%7D%3D%5Cdfrac%7B3%28x-1%29%28x%2B1%29%7D%7B%283x-1%29%28x%2B1%29%7D)
This reveals a common factor of x+1.
So, the above three observations are true of this rational expression.
First: work out the difference (decrease) between the two numbers you are comparing. Then divide the decrease by the original number and multiply the answer by 100. If your answer is a negative number, then this is a percentage increase. :)
Since they reduced the markup price, or higher price, by 10%, the new markup price is 20% over the manufacturer price.