Answer:
The amount after 6 months compounded quarterly is $1917.66 .
Step-by-step explanation:
Given as :
The principal amount deposited in account = $1850
The bank applied rate of interest = r = 7.25% compounded quarterly
The time period of loan = t = 6 months = 0.5 years
Let the Amount after 6 months = $A
Now,<u> From quarterly Compound Interest method </u>
Amount = principal × 
Or, A = p × 
Or, A = $1850 × 
Or, A = $1850 × 
Or, A = $1850 × 1.036578
∴ A = $1917.66
i.e A = $1917.66
So, The amount after 6 months = A = $1917.66
Hence, The amount after 6 months compounded quarterly is $1917.66 . Answer
Answer: 110 square cm
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Explanation:
All sides of a regular polygon are the same length. So the bottom side is also 8 cm.
Draw lines from the center to each vertex of the pentagon. Five triangles form. Each triangle has a base of 8 and a height of 5.5 (since all five triangles are congruent)
area of one triangle = 0.5*base*height = 0.5*8*5.5 = 22
area of five triangles = 5*(area of one triangle) = 5*22 = 110
Answer:
perpendicular
Step-by-step explanation:
When 2 lines intersect at any point, not just in the middle of each (that has nothing to do with it), and they meet to form right angles, the lines are perpendicular to one another and their slopes are opposite reciprocals.
First Step: What two multiples have perfects squares that equal 48 and 12? P.S They also need to have a common multiple so you can combine like terms in the end.
16*3=48
4*3=12
Second Step: Now use those multiples to split up your square roots so you will have perfect squares.
2√48 + 2√12=
2√16 ×√3 + 2√4×√3= Now Simplify!
2×4×√3 + 2×2×√3= Multiply!
8√3 + 4√3
Third Step: Now that they look alike you can just add them.
Answer: 12√3
24 cubic meters because 24*24*24=13,824.
