Answer:
Step-by-step explanation:
(4x+3)²÷(x-10)
=(16x²+24x+9)÷(x-10)
x-10) 16x²+24x+9 (16x+184
16x²-160x
- +
------------------
184x+9
184x-1840
- +
----------------
1849
----------------
Answer:
The amount of interest earned after a year is $32.25
Step-by-step explanation:
In this question, we are asked to calculate the amount of interest generated by depositing a sum into an account.
To calculate the interest earned, we use the simple interest formula.
Mathematically;
I = PRT/100
where I is the interest earned
R is the rate which is 6.25% according to the question
T is the time taken which is 1 year
P is the amount of money deposited also know. as the principal which is $516
Plugging these values we have
I = (516 * 6.25 * 1)/100 = $32.25
Answer:
(a) 12.96 ft²
(b) 21.5 in²
Step-by-step explanation:
(a) For the first diagram
Area of the shaded region (A) = Area of Tripezium- area of circle
A = [1/2(a+b)h]-[πr²]............... Equation 1
Where a and b are the parallel side of the tripezium respectively, h = height of the tripezium, r = radius of the circle.
From the diagram,
Given: a = 15 ft, b = 6 ft, h = 12 ft, r = h/2 = 12/2 = 6 ft.
Constant: π = 3.14
Substitute these values into equation 1
A = [12(15+6)/2]-(3.14×6²)
A = 126-113.04
A = 12.96 ft²
(b) For the second diagram,
Area of the shaded region (A') = Area of square- area of circle
A' = (L²)-(πr²)............. Equation 2
Where L = lenght of one side of the square, r = radius of the circle
From the diagram,
Given: L = 2r = (2×5) = 10 in, r = 5 in
Substitute these values into equation 2
A' = (10²)-(3.14×5²)
A' = 100-78.5
A = 21.5 in²
Answer:
4x² - 6x
Step-by-step explanation:
2x(2x - 3)
Distribute 2x into the parenthesis:
2x(2x - 3) = 4x² - 6x
