Which sequence below represents an exponential sequence A.) {2,6,10,14,18,...} B.) {3,5,9,16,24,...} C.) {4,8,24,96,...} D.) {25
1 answer:
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Answer:
Discount percentage is 16.4% for the customers who purchase 6- coupon book .
Step-by-step explanation:
Formula
As given
Your station charges $15.95 for an oil change.
Original charge of the oil change for 6 times = 6 × Original charge for oil change .
= 6 × 15.95
= $ 95.7
As a promotion you sell six coupons for oil changes for $80.
Discount = Original charge of the oil change for 6 times - Charge by six coupons for oil changes .
= $95.7 - $80
= $ 15.7
Putting all the values in the above
Discount percentage = 16.4%
Therefore the discount percentage is 16.4% for the customers who purchase 6- coupon book .
Answer:
1) The volume of the frustum is 27·(√3)·h
2) The surface area the frustum is 24·h + 54·√3
Step-by-step explanation:
1) A frustum of the regular triangular prism is a portion of the triangular prism
The length of the edge of the triangle prism = 12
The area of the triangular face, A = (√3/4)·a²
∴ A = (√3/4)·12² = 36·√3
When
The volume of the triangular prism, V = A·h = (36·√3)·h
By triangle proportionality theorem, the cross sectional area of the top half of the triangular prism = (√3/4)·6² = 9·(√3)
The volume of the top half, V₂ = 9·(√3)·h
The volume of the frustum = V - V₂ = (36·√3)·h - 9·(√3)·h = 27·(√3)·h
The volume of the frustum = 27·(√3)·h
2) The surface area of the triangular side of the frustum is given as follows;
A = 36·√3- 9·(√3) = 27·(√3)
The surface area the frustum, = 2×27·(√3) + 2 ×6 ×h + 12×h = 24·h + 54·√3
The surface area the frustum = 24·h + 54·√3