Answer:
P(t)= 9000(0.4)^t
Step-by-step explanation:
Generally, we have an exponential function as follows;
P(t)= I(1 - r)^t
This case represents a decay ( decrease in value)
from what we have;
I represents the initial value, whereas r is the rate of change
From the question, we have that the change rate is the fraction 3/5
Writing this as a decimal, it is 0.6
substituting this back into the equation, we have;
P(t)= I(1-0.6)^t
P(t)= I(0.4)^t
I in this case is 9,000
So we have it that;
P(t) = 9000(0.4)^t
Answer:
x= i√2, -i√2
Step-by-step explanation:
If I'm not mistaken, it should be 28/5 or 5 3/5 as the product is timesing the products together
B. long term goal .......................
The given two equations represent that 6x-15y=15 is equal to y=2/5x-1 And they have the same slope 2/5.
<h3>What is equation?</h3>
Equations are logical statements in mathematics that are denoted by an equals (=) sign and two algebraic expressions on either side of it. It is demonstrated that the expressions on the left and right are equal to one another.
All mathematical equations start with LHS = RHS (left hand side = right hand side). To find the value of an unknown variable, or unknown quantity, you can solve equations. If the statement does not contain a "equal to" symbol, it is not an equation. It will be considered as an expression.
We have been asked to find the value of x and y in 6x-15y=15 and y=2/5x-1
Let solve for y = 2/5x-1
in 6x - 15y = 15
⇒ 6x - 15(2/5x-1) = 15
⇒ 6x - 6x + 15 = 15
⇒ 15 = 15
⇒ This mans they have slope
⇒ 6x - 15y = 15 in y-intercept form
⇒ 15y = 6x - 15
⇒ 15y = 6x - 15
⇒ y = (6x - 15)15
⇒ y = 2/5x - 1
Thus, 6x-15y=15 is equal to y=2/5x-1 And they have the same slope 2/5.
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