Answer:
The value of Lucys house at the start of 2017 is 231525.
Step-by-step explanation:
It is given that the initial value of Lucys house is 200,000. The at the start of 2017.
The exponential function is defined as
![P=P_0(1+r)^t](https://tex.z-dn.net/?f=P%3DP_0%281%2Br%29%5Et)
Where, P₀ is initial value, r is growth rate, t is time in years.
The value of house is defined by the function
![P=200000(1+0.05)^t](https://tex.z-dn.net/?f=P%3D200000%281%2B0.05%29%5Et)
Where, t is number of years after 2014.
![P=200000(1.05)^t](https://tex.z-dn.net/?f=P%3D200000%281.05%29%5Et)
The difference between 2017 and 2014 is 3 years.
![P=200000(1.05)^3=231525](https://tex.z-dn.net/?f=P%3D200000%281.05%29%5E3%3D231525)
Therefore the value of Lucys house at the start of 2017 is 231525.
The denominator must be the same, so just think of the LEAST COMMON MULTIPLE, The LCM here is 8, because you can multiply 4 by 2 to get 8.
so when you multiply, you multiply both on the top and on the bottom, so this would be:
3 x 2 / 4 x 2 = 6 / 8
Now you can add or subtract: 6/8 - 1/8 = 5/8
Answer:
The end result is -1/(x + 1)
Step-by-step explanation:
In order to find the answer to this, we first need to factor the denominator. Since it is a quadratic, we try to find number that multiply to the last term (8) and add to the middle term (9). In this case, the numbers 8 and 1 would work. This allows us to use those numbers in parenthesis along with x as a fully factored form.
x^2 + 9x + 8 = (x + 1)(x + 8)
Now that we have this factored we can take the original equation and factor a -1 out of the top.
(-1)(x + 8)/(x + 1)(x + 8)
Since there is an (x + 8) on the top and bottom, we can cancel those.
-1/(x + 1)
How you would solve this problem is:
60 divided by 5 = 12
So there will be 12 toppings.
The last one because its like turning it into a fraction but your putting as a desamile or how ever you spell it