Answer:
x+y=-8
Step-by-step explanation:
y-x=4
x=3y
y-3y=4
x=3y
-2y=4
x=3y
y=4/(-2)
x=3y
y=-2
x=3*(-2)
x=-6, y=-2 then
x+y=-6-2=-8
We have been given that you invest $100,000 in an account earning 8% interest compounded annually. We are asked to find the time it will take the amount to reach $300,000.
We will use compound interest formula to solve our given problem.
, where,
A = Final amount after t years,
P = Principal amount,
r = Annual interest rate in decimal form,
n = Number of times interest is compounded per year,
t = Time in years.






Let us take natural log on both sides of equation.

Using natural log property
, we will get:




Upon rounding to nearest tenth of year, we will get:

Therefore, it will take approximately 14.3 years until the account holds $300,000.
Answer:
vertex = (- 3, 5 )
Step-by-step explanation:
The general form of the absolute value function is
y = a | x - h | + k
where (h, k) are the coordinates of the vertex
Given
y = - | x + 3 | + 5 ← in general form, then
vertex = (- 3, 5 )
Answer:
Hey there!
The range is the possible y-values of any function. That's the definition, but identifying range takes practice, so let me know if you need any help with that.
Hope this helps :)