150 I'm pretty sure I'm sorry if wrong
It is 14 because if you have -1/2x + 1 = -x + 8 you would combine the multiplied terms into a single fraction then subtract the one from both sides simplify till you get -x/2 = -x + 7 then you will add like terms so the x’s then you multiply all terms by two like 2(-x/2)= 2•7 then you can get 14.
(Sorry if you didn’t need the whole explanation)
Answer:
$62,490.65
Step-by-step explanation:
If we assume her deposits are at the beginning of the month, and that the interest is compounded monthly, the future value is that of an "annuity due." The formula is ...
FV = P(1+r/n)((1+r/n)^(nt)-1)/(r/n)
where r is the APR (.0276), n is the number of yearly compoundings (12), P is the monthly payment ($280), and t is the number of years (15). Putting the numbers into the formula and doing the arithmetic, we get ...
FV = $280(1.0023)(1.0023^180 -1)/(.0023) ≈ $62,490.65
Angelica's account balance after 15 years will be $62,490.65.
_____
If her deposits are at the end of the month, the balance will be $62,347.25.
Answer:
y=-4x-4
Step-by-step explanation:
y=-4x-4
y=mx+b where m=slope and b=y-intercept.
Answer:
(0, inf)
Step-by-step explanation:
The average rate of change of a function is related to it's first derivative. When the first derivative is positive, the average rate of change is positive, which means that the function is crescent.
Now, when the first derivative is negative, the average rate of change will be negative too, and the function is going to be decrescent.
In your function.
We have: f'(x) = 2x
2x > 0 when x > 0. So when x > 0 the average rate of change of your function is positive, and it's values increases as the time increases. When x < 0, the average rate of change is negative, so, as the time increases, the values of f decrease.
You can use a graphic tool to plot f and visualize this better.