Answer:
Step-by-step explanation:
The exponential growth function compounded continuously is equal to
where
A is the final population
P is the initial population
r is the rate of growth in decimal
t is Number of years
e is the mathematical constant number
we have
substitute in the function above
simplify
Take natural log of both sides
![ln(4)=ln[(e)^{0.09t}]](https://tex.z-dn.net/?f=ln%284%29%3Dln%5B%28e%29%5E%7B0.09t%7D%5D)
Answer:
(x, y) → (–x, –y)
Step-by-step explanation:
The rule for 180° rotation about the origin is
The coordinates of the image are obtained by negating both the x and y coordinates of the preimage.
Whether the rotation is clockwise or counterclockwise, the rule remains the same.
The correct option is (x, y) → (–x, –y)
Answer:
The total price that he has to pay is $21.8.
Step-by-step explanation:
Mr. O'Donnell goes to the store to buy a shirt. The shirt is $20, but he also has to pay a 9% tax.
First you convert the sales tax percentage to its decimal form: in this case 9% becomes 0.09.
To calculate the cost of the tax, the following multiplication must be performed:
cost of product or service* sales tax (in decimal form) = total sales tax
In this case:
$20*0.09= $1.8
Finally, you must add the value of the total sales tax to the cost of the product or service to obtain the total cost. In this case:
$20 + $1.8= $21.8
So, <u><em>the total price that he has to pay is $21.8.</em></u>
As x goed up one y goes down one so rate of change is -1
U have to find the slope
Using the formula y2-y1/x2-x1
