Answer:
L is not valid.
Step-by-step explanation:
For any triangle, the sum of the two legs must be greater than the hypotenuse. Otherwise the two legs would not be long enough to touch.
Answer:
Amount she would have in 2 years at a simple interest of is
$5000 + ($5000 x 0.048 x 2) = $5480
Amount she would have in 2 years at a 4.1 % / year compounded semi- annually is :
$5000 x ( 1 +0.041/2)^4 = $5422.78
the first option yields a higher value in two years when compared with the second option. Thus, the first option is the best one to choose
Step-by-step explanation:
Future value with simple interest = principal + interest
Interest = principal x interest rate x time
0.048 x 5000 x 2 = 480
future value = $480 + 5000 = $5480
The formula for calculating future value with compounding:
FV = P (1 + r)^nm
FV = Future value
P = Present value
R = interest rate
m = number of compounding
N = number of years
5000 x ( 1 + 0.041 / 2)^(2 x 2) = $5422.78
Answer:
<em>(6pi + 10) m^2</em>
Step-by-step explanation:
The bottom right part is a rectangle, 2 m by 5 m.
A = 2 m * 5 m = 10 m^2
The curved part is a larger semicircle with an inner semicircle missing.
We find the area of the larger semicircle and subtract from it the area of the smaller semicircle.
Larger semicircle: radius = 4 m
area of semicircle = (1/2)(pi * r^2) = (1/2)(pi)(4 m)^2 = 8pi m^2
Smaller semicircle: radius = 2 m
area of semicircle = (1/2)(pi * r^2) = (1/2)(pi)(2 m)^2 = 2pi m^2
Area of circular part: 8pi m^2 - 2pi m^2 = 6pi m^2
Total area: 6pi m^2 + 10 m^2 = (6pi + 10) m^2
You are changing the sign on one so to keep an equilibrium you change the other sign too