Answer:
is not, not enough money earned
is, enough money earned within the allowed hours.
is not, too many hours worked
Step-by-step explanation:
A. NOT
(-5, 2) → x = -5, y = 2
y ≤ x - 5 → 2 ≤ -5 - 5 → 2 ≤ -10 FALSE
B. YES
(5, -2) → x = 5, y = -2
y ≤ x - 5 → -2 ≤ 5 - 5 → -2 ≤ 0 TRUE
y ≥ -x - 4 → -2 ≥ -5 - 4 → -2 ≥ -9 TRUE
C. NOT
(-5, -2) → x = -5, y = -2
y ≤ x - 5 → -2 ≤ -5 - 5 → -2 ≤ -10 FALSE
D. NOT
(5, 2) → x = 5, y = 2
y ≤ x - 5 → 2 ≤ 5 - 5 → 2 ≤ 0 FALSE
This equation can be solved graphically by plotting the equations
f(x) = 3^x
and
g(x) = 5x-1.
The x-coordinate of the point(s) of intersection is the solution.
_____
On my graphing calculator, I find it easier to locate x-intercepts, so I would rewrite the equation as
3^x -(5x -1) = 0
and plot the function
h(x) = 3^x -(5x -1)
The x-intercept(s) would be the solutions. (There are two: x≈0.577, x=2.)
Answer:
Step-by-step explanation:
For compound interest, we use the formula A = P(1 + r/n)^{nt}, where A is the amount, P is the principle, r is the rate, n is the number of times compounded per period of time, and t is the time.
We can alter this for a decrease. Instead of adding r/n to 1, we can substract it:
A = 17,600 * (1 - 0.01175 / 1)^{1 * 11} = 15,454.24
After 11 years, the car will be worth $15,454.24
Answer:
7:58 PM
Step-by-step explanation:
8PM=20HRS
20:00
-12:00
8HRS 8x60=480 MIN
1/4x480=120 sec
120/6=2min
8:00
- :02
7:58