This problem Is an example of geometrica progression. The formula
for the sum of geometric progression is:
S = a[(r^n)-1] / (r – 1)
Where s is the sum
a is the first term = 1
r is the common ratio = 2 ( because it doubles every year
n is the number of terms = (19) since the first term is when
he was born which he still 0
s = S = 1[(2^19)-1] / (2 – 1)
s = $524,287
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Answer:
+5
Step-by-step explanation:
the average rate of change is adding 5
to get the equation of any straight line, we simply need two points off of it, let's use the points from the picture below.
if we already have the slope, and we can see the y-intercept on the table, then we can simply use the slopel-intercept form and plug both of them in.
Given
two angles (150° and 12°) and the shortest side (12 cm) of a triangle
Find
the second-shortest side
Solution
Strategy: Make use of the Law of Sines to find missing side lengths when angles are known. To find the third angle, make use of the sum of angles of a triangle.
The sum of angles of a triangle is 180°, so we have
... 150° + 12° + C = 180°
... C = 180° - 162° = 18°
The law of sines tells us
... c/sin(C) = b/sin(B)
... c = sin(C)·b/sin(B) = sin(18°)·(10 cm)/sin(12°)
... c ≈ 14.9 cm
_____
We are calling the sides a, b, c. We are calling the angles opposite those sides A, B, and C.
Answer:
Yes
Step-by-step explanation:
2 × 2/3 = 4/3 yards of fabric needed for 2 scarves. This amount is less than 1 1/2 yards. The amount of fabric that Jessica has is more than 1 1/2 yards, so is more than enough.
Jessica can make 2 scarves.