Area of a trapezoid = ((a+b)/2) * h
a = x + x
b = z + z
h = y
A = ((4 + 12)/2) * 6
A = ((16)/2) *6
A = 8 * 6
A = 48
answer is B
Answer:
<em>l</em> = 1 5/16
w = 1/16
A = 21/16 x 1/16 = 21/256
Step-by-step explanation:
Perimeter = 11/4
<em>l</em> = length
w = <em>l</em> - 5/4
2<em>l</em> + 2(<em>l</em> - 5/4) = 11/4
2<em>l</em> + 2<em>l</em> - -5/2 = 1/4
multiply each side by 4
8<em>l</em> + 8<em>l </em>- 10 = 11<em> </em>
16<em>l</em> = 21
<em>l</em> = 21/16 or 1 5/16
width = 21/16 - 20/16 = 1/16
In this equation you have 3m+3=15 or 3m+3=-15. Solving for m on both you get m=4 or m=-6. The answer is D.
Answer:
132cm2
Step-by-step explanation:
1. Split the figure into a trapezoid and a rectangle.
2. Find the area of the trapezoid, which is 104cm2.
3. Find the area of the rectangle, which is 28cm2.
4. Add the areas to get 132cm2.
Answer:
PV = 1414.213562
Step-by-step explanation:
Find:
PV = 8,000*V^(t+3)
Solution:
- Split the the exponent of V into t and 3:
PV = 8,000*V^t*V^3
- We will calculate the V^t and V^3 from information given.
- The present value of 10,000 at the end of 6 years and immediate value of $5,000. De-crypt this statement we have:
10,000*V^6 = 5,000
V^6 = 5,000/10,000
V^6 = 0.5
V^3 = sqrt(0.5)
- Using 2 and 3, De-crypt:
6000*V^t + 56,000*V^2t = 5000
Solving the quadratic in V^t:
V^t = 0.25
- Hence, we have the present value as:
PV = 8,000*V^t*V^3
PV = 8,000*sqrt(0.5)*0.25
PV = 1414.213562
