Area of rectangle = length x width
6 x 3 = 18
area of triangle = base x height over 2
2 x 6 = 12
12 / 2 = 6
triangle 2
3 x 3 = 9
9 / 2 = 4.5
add everything together
4.5 + 6 + 18 = 28.5 m^2
Answer:
x = 20
Step-by-step explanation:
given f(x) = 
, we have to solve
= 4
Square both sides
()² = 4²
x - 4 = 16 ( add 4 to both sides )
x = 20
As a check
= 
= 4 ← correct
Answer:
3√13
Step-by-step explanation:
3√13
This expression cannot be simplified because you cannot take any common factor outside the root.
Answer:
B. $200,000
Step-by-step explanation:
Let x be the amount placed at 5.5%
3x is the amount placed at 5%
This leaves the rest for the 4.5 % 500000- x - 3x = 500000-4x
Assuming simple interest
I = PRT where I is interest, P is principle, rate is rate and t is time
Interest for the 5.5% for 1 year is
I = x * .055 * 1 = .055x
Interest for the 5.% for 1 year is
I = 3x * .05 * 1 = .15x
Interest for the 4.5% for 1 year is
I = 500000-4x * .045 * 1 = 22500 - 0.18 x
Add the interest together to get the income for 1 year
.055x+ .15x+22500 - 0.18 x=25,000
Combine like terms
0.025x+22500=25000
Subtract 22500
.025x =2500
Divide by .025
x =100000
short term notes is 100000
3*x = 300000 = government bonds
The rest is utility bonds 500000- 100000-300000 = 100000
We want how much more in government bond than utility bond
300000 -100000 = 200000
