Answer:
One solution
Step-by-step explanation:
1/2(x+12)=4x-1
1/2x+6=4x-1
x=2
B) 0.00797%
C) 0.833%
D) 0.00833%
Answer: C) 0.833%
Step-by-step explanation:
Given: Cost price of house = $120,000
The rate of increase of its cost = 10%
Therefore, the increase amount of house per year =10% of $120,000
Now, the amount increase each month=
Let r be the rate of growth each month, then
r% of $120,000=1000
Answer:
0.797%
Step-by-step explanation:
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πr2h. The radius of a cone is 5 cm and the height of a cone is 10 cm. What is the approximate volume of the cone?
A) 2,356 cm3 (exponent )
B) 52 cm3 (exponent )
C) 262 cm3 (exponent )
D) 524 cm3 (exponent )
2. 12,26,32
3. 15,45,60
Answer:
1)3×3×5×2×2
2)2×2×2×2×2×3×13
3)5×3×3×2×2
Plant 2 : P2 (x) = -0.02x^2 + 21x - 1700
Find polynomials representing the difference in profits between the companies. Find P1(x) - P2 (x) and P1 (x). Compare the two differences and draw conclusions. Show work and make a equation
P1(x) - P2(x) = -0.01x² + 4x + 200
This shows that P1(x) profit is less than P2(x).
P2(x) - P1x = 0.01x² - 4x - 200
This shows that P2(x) profit is more than P1(x).
Polynomial is an equation written as the sum of terms of the form kx^n.
where k and n are positive integers.
We have,
Plant 1:
P1 (x) = -0.03x² + 25x - 1500
Plant 2:
P2 (x) = -0.02x² + 21x - 1700
P1(x) - P2(x):
= -0.03x² + 25x - 1500 - (-0.02x² + 21x - 1700)
= -0.03x² + 25x - 1500 + 0.02x² - 21x + 1700
= -0.01x² + 4x + 200
For any x value, we will get a negative value.
This means,
P1(x) profit is less than P2(x).
P2(x) - P1x:
= -0.02x² + 21x - 1700 - (-0.03x² + 25x - 1500)
= -0.02x² + 21x - 1700 + 0.03x² - 25x + 1500
= 0.01x² - 4x - 200
For any x value, we will get a positive value.
This means,
P2(x) profit is more than P1(x).
Thus,
P1(x) - P2(x) shows that P1(x) profit is less than P2(x).
P2(x) - P1x shows that P2(x) profit is more than P1(x).
Learn more about polynomials here:
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