Answer:
5 units
Step-by-step explanation:
Given:-
- The area of the circle was computed to be A = 78.5
- The value of π is estimated to be = 3.14
Find:-
What is the radius of the circle?
Solution:-
- The area of a circle (A) with radius ( r ) is computed by the following formula:
A = π*r^2
- Divide the equation by π :
r^2 = ( A / π )
- Take the square root of the entire equation:
r = √ ( A / π )
- Substitute the given values:
r = √ ( 78.5 / 3.14 )
- Resolve the fraction:
r = √25
- The perfect square root of 25
r = 5
Answer: The radius of the circle is r = 5 units
∠1 = ∠2
2x +10 = 3x -6
16 = x . . . . . . . . . . . add 6-2x
Selection B is appropriate.
$7881.18
Step-by-step explanation:
Let the initial Investment be 
. The Interest is compounded on a monthly basis at 12% annual interest rate. After 17 years, the Investment amounts to $60,000.
As the annual interest rate is 12%, the monthly interest rate is 1%.
Since this is a compound interest problem, the total amount can be modeled as follows: 
Here 
is the interest rate, i.e 
, and t is the number of time periods, i.e 
= 
∴ Initial Investment = $7881.18
Answer:
Her potential energy is approximately 4481 J.
Step-by-step explanation:
Because the formula for potential energy is PEg = 9.81 * mass * height, just plug in the knowns. After you plug those in, you will get the potential energy as 9.81 * 450, which is approximately 4481 J.
Answer:
Therefore the correct option is b.) $1.15
Step-by-step explanation:
i) the book is 10 days late
ii) there is one day grace
iii) on the second day there is a fine of $0.25
iv) on the third day there is a fine of $0.20
v) for each of the remaining 7 days there is a fine of $0.10 for each day
therefore the total fine for the remaining seven days is = 7 
$0.10 =
$0.70
vi) therefore the total fine for the book is = $0.25 + $0.20 + $0.70 = $1.15
Therefore the correct option is b.) $1.15
