Sum of n terms of a geometric series is
Sn = a1 (r^n-1)/(r-1)
a1 = 1st term = 4
r = common ratio = 12/4 = 3
so, the sum is
Sn = 4 (3^n-1)/(3-1) = 2(3^n-1)
Answer: 31?
Step-by-step explanation:
Answer:
Z = 34
Step-by-step explanation:
From the series, we have that:
a = -2
a + d = 7
Hence, -2 + d = 7
∴ d = 7 + 2 = 9
a + 2d = X; a + 3d = Y and a + 4d = Z
-2 + 4(9) = Z
∴ Z = 36 - 2 = 34
Let x = total sales of baked goods remember 20% = .20 as a decimal
so the equation would be .20x = $600
divide both sides by .20
.20x/.20 = $600/.20
x = $3000 the total sales of baked goods
CHECK: 20% times $3000 = .20 times $3000 = $600
Answer:
Interior Angle: 165°
Exterior Angle: 15°
Step-by-step explanation:
So first you have to find the sum of all interior angles of a polygon with <u>24 sides</u>. This can be found using the formula:
sum = ( <em>n</em> - 2 ) * 180° where '<em>n</em>' is the number of sides.
When '<em>n</em> = 24' then the sum is:
sum = ( 24 - 2 ) * 180°
Simplify and solve.
sum = 22 * 180°
sum = 3960°
Since there are 24 sides to the polygon, there are 24 interior angles. <u>Assuming that this polygon is equilateral</u>, you can surmise that:
<em>Interior Angle</em> = sum° / <em>n</em> where n is the number of sides,
3960° / 24 = 165° = Interior Angle
Using that information, and combine it with the [Supplementary Angles Theorem] the exterior angle can be found by:
165° + x = 180°
Solve for x.
