Answer:
If using simple interest, the formula is:
= Amount * ( 1 + rate * time)
= 20,000 * ( 1 + 4% * 5)
= $24,000
Interest = Balance after 5 years - Investment
= 24,000 - 20,000
= $4,000
Using Compound Interest:
= Amount * ( 1 + rate)^time
= 20,000 * ( 1 + 4%)⁵
= $24,333.06
Interest = 24,333.06 - 20,000
= $4,333.06
Answer:
b=15
Step-by-step explanation:
7(b+1)=2*56 (we cross multiply)
7b+7=112
7b=105
b=15
Answer:
16.67% increase
Step-by-step explanation:
finding the percentage price increase
we need to find the difference in percentage price between the 2 years
12%-10% = 2%
2%/12% x 100% = 100%/6 = 16.67%
20% increase between January 1st 2010 and January 1st 2011
Your answer is 26.9 so u could round it up to 27
Answer:
8 - 2π square units.
π/16 - 1/8 square units.
6π - 9√3 square units.
Step-by-step explanation:
The area of the square = 2√2 * 2√2
= 2*2*2
= 8.
The area of the circle = πr^2
= π * [ ( 2√2)/ 2) ]^2
= π (√2)^2
= 2π.
Second Question:
The area of the circle = π(1/2)^2 = π/4.
Finding the area of the square:
1^2 = 2x^2
x^2 = 1/2
So the area of the square = 1/2
So the area of the red part = 1/4 ( π/4 - 1/2).
= π/16 - 1/8.
Third question
Area of the circle = 6^2 * π = 36π.
Now 60 degrees is 1/6 of 360 degrees so the are of the sector is 6π.
The area of the segment = 6π - 0.5 * 6^2 sin 60
= 6π - 18√3/2
= 6π - 9√3 square units.
