The equation to calculate compound percentage rate is :
A(t) = P(1+(r/n))^(nt)
In this case t is 18 years, we put rate (r), number of compounds per day.
A(18) = 10,000(1+(0.04/4))^(4*18)= 10,000(1.01)^72= $20,470.99
Child will receive $20,470.99 on it's 18 birthday.
Answer:
42
Step-by-step explanation:
First I multiplied 14 by 6, obtaining 84. Next, I divided that by 2, obtaining 42. This 42 is evenly divisible by both 14 and 6. Thus, the LCM is 42.
Answer: $1,000
Step-by-step explanation:
We are trying to find 5% of 20,000. Always remember that the "of" can be changed to a multiplication, and that "percent" means per hundred. So you will write (5/100) x 20,000 = 0.05 x 20,000 = $1,000.00
1) As a start you have 100% of contaminants: so
the 1st filtration you removed 70% & remaining 30%
the 2nd filtration you removed 70% of the 30% (=21%) & remaining (30%-21%)
or 9%
the 3rd filtration removed 70% of the 9% (=6.30%) & remaining (9%-6.3%)
or 2.7%
the 4th filtration removed 70% of the 2.7% (1.89%) & remaining (2.7%-1.89%)
or 0.81%
Follow the same logic for all remaining question.
Answer:
16
Step-by-step explanation:
Pythagoras theorem states that:
In a right-angled triangle,the hypotenuse , altitude and base are related as:

In this question:
Hypotenuse = 20 units
Base = 12 units
Altitude = w = ?
By Pythagoras theorem:

Hence w = 16 units.