Answer:
The price of milk in 5 years = $7.16
Step-by-step explanation:
Given:
Present cost of half-gallon carton milk = $4.45
Increase percentage = 10%
To find the price of milk in 5 years.
Solution:
To find the price of milk in 5 years we will apply the exponential growth formula which is given as:

where
final value
present value
rate of increase in decimals
time in years.
From the given data, we can plugin values in the equation to calculate final value in dollars after 5 years.




Thus, price of milk in 5 years = $7.16
Answer:
K is 3.4 feet
Step-by-step explanation:
To find the perimeter of the octagon, we add up the lengths of all the sides
For this particular octagon;
7 * k + 3.9 = 27.7
7k + 3.9 = 27.7
7k = 27.7-3.9
7k = 23.8
k = 23.8/7
k = 3.4 feet
<h3>
Answer: y = x+1</h3>
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Explanation:
f(x) = x^3 - 2x + 3
f ' (x) = 3x^2 - 2 ..... apply the power rule
f ' (1) = 3(1)^2 - 2 ... plug in x coordinate of given point
f ' (1) = 1
If x = 1 is plugged into the derivative function, then we get the output 1. This means the slope of the tangent line at (1,2) is m = 1. It's just a coincidence that the x input value is the same as the slope m value.
Now apply point slope form to find the equation of the tangent line
y - y1 = m(x - x1)
y - 2 = 1(x - 1)
y - 2 = x - 1
y = x - 1 + 2
y = x + 1 is the equation of the tangent line.
The graph is shown below. I used GeoGebra to make the graph.
Answer:
x≤ 42
Step-by-step explanation: