Answer:
Perimeter = 588ft (given), Width of yard = 73ft
Step-by-step explanation:
The distance around a yard is the perimeter of the yard, so we know that the perimeter of the yard is 588ft. In order to find the length and width, we need to make an equation so we can solve for one of them. Since the length is 2 more than 3 times the width, we can represent it as 3w+2, where w is the width. This ensures we only have one unknown to solve for as we only have one equation. Since perimeter is the distance around the yard, it is calculated by adding the length of the 2 widths to the length of the 2 lengths, hence 588ft = 2w + 2l, the l we replace though as we can only solve for one unknown, so now we have:
2w + 2(3w+2) = 588
Now we can start solving for the width!
Firstly we need to expand the bracket which we do by multiplying the 2 by all the contents inside the bracket, so:
2w + 2*3w + 2*2 = 588
which equals:
2w +6w +4 = 588
Now we combine terms and move the 4 to the other side so we can solve for w:
8w + 4 -4 = 588 - 4
8w = 584
Now we just divide both sides by 8 to get:
w=73
The width of the yard is 73ft.
Hope this helped!
Answer:
It'll be worth approximately $8779.3 after 5 years.
Step-by-step explanation:
Since it's compounded we need to use the appropriate formula to solve this problem, which is shown below:
M = C*(1 + r)^t
Where M is the final amount, r is the interest rate and t is the time elapsed in years. Applying the data from the problem we have:
M = 7500*(1 + 0.032)^5
M = 7500*(1.032)^5
M = 8779.2971
It'll be worth approximately $8779.3 after 5 years.
Answer:
g(x)= |x-3| is neither and g(x) = x + x^2 is also neither
Step-by-step explanation:
Plug in 1 and -1 for x in both equations and if they equal eachother the equation is even, if they are opposites the equation is odd, and if they are neither than the function is niehter odd nor even
Answer:
66
Step-by-step explanation:
The sequence you provided seems to be arithmetic as it increases as 4 each term. Assuming 1 is the first term the equation would be . You could just take the first 6 terms and add them together since you already have 4 values calculated and you could calculate the other 2 by adding 4. This would give you
(1 + 5 + 9 + 13 + 17 + 21) = 66
But there's an easier way to do it. You could use the formula . You can calculate by plugging in those values. You would need to calculate before hand, but you can calculate that using the formula I defined above. Which in general is where d is like the slope, or how much it changes each term. So if you calculate you'll get . Now plug this into the series formula above and you get which is exactly what you get if you add the first 6 terms as shown above when you do it manually.
Step-by-step explanation:
this is the solution
I hope it helps :)