Answer:
Step-by-step explanation:
we know that
The equation of a exponential growth function is equal to
where
y is the average annual salary
x is the number of years
r is the rate of change
a is the initial value
In this problem we have
substitute
For x=4 years
Answer:
The answer is below
Step-by-step explanation:
The profit equation is given by:
p(t)= -25t³+625t²-2500t
The maximum profit is the maximum profit that can be gotten from selling t trailers. The maximum profit is at point p'(t) = 0. Hence:
p'(t) = -75t² + 1250t - 2500
-75t² + 1250t - 2500 = 0
t = 2.3 and t = 14.3
Therefore t = 3 trailers and t = 15 trailers
p(15) = -25(15³) + 625(15²) - 2500(15) = 18750
Therefore the company makes a maximum profit of approximately $18750 when it sells approximately 15 trailers.
Answer:
x = -1 and x = 4
Step-by-step explanation:
Step 1: Get everything to one side of the equation so it's set equal to zero..
-x² + 4x = x - 4 becomes...
-x² + 3x + 4 = 0 (subtract x and add 4 to both sides)
x² - 3x - 4 = 0 (divide both sides by -1, we want the x² term to be positive)
(x - 4)(x + 1) = 0 (factor)
so
x - 4 = 0, then x = 4
and
x + 1 = 0, then x = -1
$ 657.6
Step-by-step explanation:
Step 1:
Given,
Principal = $2500
Monthly payment = $32.88
Step 2 :
The amount of monthly payment and the principal amount are in direct proportion , that is when the principal amount increases the monthly payment increases and when the principal decreases the monthly payment decreases.
Step 3 :
The monthly payment for $2500 is $32.88
Therefore for a principal of $50000, the amount of monthly payment is
32.88 *50000/2500 = $657.6
The answers are 1, 2, and 4. Look at the parallelogram's angles to be sure.
