Answer:
A. = 20 in²
B. = 45 ft²
C. = 29.5 ft²
D. = 36 ft²
E. = 28 ft²
Step-by-step explanation:
A. Formula = A = (h_b b)/2 = base 10 ft height_b= 4ft = 20 ft²
B. We have a rectagnle and a triangle: Formula: A = lw
= A = 30 ft² and now the triangle with the same formula as above: A = 15 ft²
30 ft²+15 ft² = 45 ft²
C. we have 2 rectagnle and a triangle: First the small recangle: A= lw = A = 1ft x 2ft = 2ft²
Second rectangle: 5 ft x 4 ft = 20 ft²
Right angeled triangle Formula: (ab)/2 = 3 ft x 5 ft = 7.5 ft²
Add it all together: 2ft²+20ft²+7.5ft² = 29.5 ft²
D. is a rectangle and a triangle: 8 ft x 3 ft = 24ft²
the triangle 8 ft x 2ft = 12 ft²; add 24 ft²+12 ft² = 36ft²
E. is a right-angled triangle (see fromula above) = (14 ft x 4 ft)/2 = 28ft²
Answer:
$3375 money would the student council have in four years if they invest $3000 at 5% interest compounded yearly.
Step-by-step explanation:
We are given:
Principal Amount = $3000
Interest Rate r = 5% or 0.05
n=1 (compounded yearly)
Years t= 4
We need to find future value (A)
The formula used is: 
Putting values in formula and finding future value A

So, $3375 money would the student council have in four years if they invest $3000 at 5% interest compounded yearly.
Answer:
The surface area of the triangular prism is approximately 401.582 square feet.
Step-by-step explanation:
The figure represents a triangular prism, the procedure for calculating the surface area of the entire figure consists in adding the areas of each face (3 rectangles and 2 triangles):
![A = 2\cdot \left[\frac{1}{2}\cdot (9\,ft)\cdot (4\,ft)\right] + (16\,ft)\cdot (4\,ft) + (9\,ft)\cdot (16\,ft) + (16\,ft)\cdot \sqrt{(9\,ft)^{2}+(4\,ft)^{2}}](https://tex.z-dn.net/?f=A%20%3D%202%5Ccdot%20%5Cleft%5B%5Cfrac%7B1%7D%7B2%7D%5Ccdot%20%289%5C%2Cft%29%5Ccdot%20%284%5C%2Cft%29%5Cright%5D%20%2B%20%2816%5C%2Cft%29%5Ccdot%20%284%5C%2Cft%29%20%2B%20%289%5C%2Cft%29%5Ccdot%20%2816%5C%2Cft%29%20%2B%20%2816%5C%2Cft%29%5Ccdot%20%5Csqrt%7B%289%5C%2Cft%29%5E%7B2%7D%2B%284%5C%2Cft%29%5E%7B2%7D%7D)

The surface area of the triangular prism is approximately 401.582 square feet.