Answer:
x = 1.53, -1.53.
Step-by-step explanation:
9x^2 - 21 = 0
9x^2 = 21
x^2 = 21/9
x = +/- √21 / 3
x = 1.53, -1.53.
The triangular pyramid is made of 4 congruent triangles. They all have the same shape and size, so they have the same area. The area of one triangle is
A = b*h/2
A = 5*4.3/2
A = 10.75
So four of them lead to a total surface area of 4*10.75 = 43 square meters
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The rectangular prism has the dimensions
L = 5
W = 5
H = 4.3
The surface area is found through the formula below
SA = 2*(L*W+L*H+W*H)
SA = 2*(5*5+5*4.3+5*4.3)
SA = 136
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So far we found that
surface area of pyramid = 43 square meters
surface area of prism = 136 square meters
Dividing the values, we get 136/43 = 3.16279 approximately. The result is not equal to 2, so Susan's statement is not correct. The prism has more than twice the surface area of the pyramid
Answer:
a) interest in 30 years will be $1,890
b) account balance in 30 years will be $6,390
Step-by-step explanation:
Interest = Principal · Rate · Time
= 4500 (.014)(30)
= 1,890
Total Amount = Interest + Principal
= 1,890 + 4,500
