Answer:
1) 5
Step-by-step explanation:
(working on the others rq)
1) Quaterly interes = 3% / 4 = 0.03 / 4
2) Values:
after 1 quarter: 2000 (1 + 0.03/4)
after 2 quarters: 2000 (1 + 0.03/4)^2
after 3 quarters: 2000 (1 + 0.03/40^4
after 4 quarters = 2000 (1 + 0.03/4)^4
You could have used the future value formula directly:
A = C * (1 + r/n) ^ n*t
where r = 3% = 0.03
n = number of periods in a year: 4
t = number of years = 1
C = initial investment = 20000
=> A = 2000 (1 + 0.03/4)^4
Answer: option D. A = 2000 ( 1 + 0.03 /4) 4
Answer: b = 14/3 = 4.667 feet
The decimal value is approximate. In reality the 6's go on forever. Round that however you need to.
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Work Shown:
b = unknown base
h = height = 6 ft
A = area = 14 sq ft
A = b*h/2
14 = b*6/2
14 = b*3
14 = 3b
3b = 14
b = 14/3
This approximates to 14/3 = 4.667 ft
We have been given that a right △ABC is inscribed in circle k(O, r).
m∠C = 90°, AC = 18 cm, m∠B = 30°. We are asked to find the radius of the circle.
First of all, we will draw a diagram that represent the given scenario.
We can see from the attached file that AB is diameter of circle O and it a hypotenuse of triangle ABC.
We will use sine to find side AB.
Wee know that radius is half the diameter, so radius of given circle would be half of the 36 that is 
.
Therefore, the radius of given circle would be 18 cm.
1) function 2) not a function
the first one is a function because its y values are the same number (3), which means it is a horizontal line and horizontal lines are functions.
the second one is not a function because the coordinates cannot have different inputs but different outputs. each input must have only one output.
the coordinates for the second one are:
(2,5); (1,1); (1,2); (3,2)
and <u>a function cannot have two same x-coordinates</u>. it must pass the vertical line test which is a way to tell if something is a function or not. since the second graph does not pass the vertical line test, it is not a function
hope this helps :)
