1) y-intercept => x = 0, => y = f(0) = 0 - 0 + 0 - 36 = -36
2) x-intercept => y = 0 => factor the function (start by dividing by x -2)
f(x) = (x-2)(x-3)(x-6) =0 => x =2, x = 3, x = 6 (these are the x-intercepts)
3) critical points:
between x = 2 and x = 3, there is a local maximum
between x =3 and x = 6 there is a local minimum
3) Shape.
The function comes growing from - infinity.
In the third quadrant the function is negative (it does not pass throuhg the second quadrant)
It enters to the fourth quadrant intercepting the y-axis at y = -36. It continues growing and intercepts the x-axis at x = 2.
It continues increasing until a maximum local positive value, starts to decrease, intercepts the x-axis at x = 3, continues decreasing, becomes negative, gets a local minimum in the fourth quadrant, starts to increase, intercepts the x-axis at x = 6, becomes positive, and continues growing.
Answer:
The Amount of money in the account after 28 years is $616,674.5
Step-by-step explanation:
Given as :
The principal amount placed in the account = p = $67,000
The rate of interest = r = 8.25%
The time period of amount in the account = t = 28
Let the Amount of money in the account = $A
Now<u>, From Compound Interest method</u>
Amount = Principal × 
A = p × 
Or, A = $67,000 × 
Or, A = $67,000 × 
Or, A = $67,000 × 9.2041
∴ A = $616,674.7
So, The Amount of money in the account = A = $616,674.5
Hence, The Amount of money in the account after 28 years is $616,674.5 Answer
From the information given, the original price per pound was increased by $ 0.75
Let the original price be x, so the new price is x + 0.75
Sam bought 3 pounds of apples at new price and it cost him 5.88
so we form an equation:
3 (x + 0.75) = 5.88
3x + 2.25 = 5.88
3x = 5.88 - 2.25
3x = 3.63
x = 3.63 / 3
x = 1.21
Therefore the original price per pound is 1.21 dollars
[ 4(4) x 4(3) ] / 4(5)
= [4(4+3)] / 4(5)
= 4(7) / 4(5)
= 4(7-5)
= 4(2)
Answer:
last one
Step-by-step explanation:
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