Answer:

Step-by-step explanation:
we know that
The exponential decay function that represent the depreciated value of the car is given by

where
y is the depreciated value of the car
t is the number of years since 2008
What is the approximate value of the car in 2012?
Find the value of t

substitute in the equation

Answer:
E=10.75h-6.5
Step-by-step explanation:
10.75h for every hour she work
-6.5 for the bus fare
Answer:
<u>-1 and -5</u>
Step-by-step explanation:
m^2 + 6m + 5 = 0 is factored to: (m + 1)(m + 5) = 0.
The zero product property states that one of the represented parenthesis must equal zero to satisfy the right side of the equation.
(m + 1) = 0
(-1 + 1) = 0
This means that one of the values for m is -1.
(m + 5) = 0
(-5 + 5) = 0
This means that one of the values for m is -5.
<u>Moreover, the value of m by factoring is -1 and -5</u>
Given:
bottom of the plank or ground is 9 feet from the wall
length of the plant is 41 ft
height of the wall is unknown.
Let us use the Pythagorean theorem.
a² + b² = c²
a² + (9ft)² = (41ft)²
a² + 81 ft² = 1,681 ft²
a² = 1,681 ft² - 81 ft²
a² = 1,600 ft²
√a² = √1,600 ft²
a = 40 ft
The height of the wall is 40 ft.