22) Find the measure of angle A to the nearest degree. Find the length of side b, to tenths.
1 answer:
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Answer:
A
Step-by-step explanation:
a geometric sequence is where we multiply a factor from element to element.
a1 = $900
a2 = 981 = a1 × f = 900 ×
a3 = 1069.29 = a2 × f = a1 × f × f = s1 × f²
so, now let's try and get f.
remember, 981 = 900 × f
f = 981/900 = 109/100 = 1.09
just to control, we check for s3 :
900 × (1.09)² = 900 × 1.1881 = 1069.29
correct.
so,
a13 = 900 × (1.09)¹² = 2,531.398304
s13 is then the sum of all a1, ..., a13
there is a nice formula for sums of finite sequences
s13 = 900 × (1-f¹³) / (1-f) = 900×(1-(1.09)¹³) / (1-1.09) =
= 900×(1-3.065804612) / (-0.09) =
= 900×(-2.065804612) / (-0.09) = 20,658.04612
.
Let one pen be 
and one pencil as 
, we can produce two equations in terms of and
------> Equation 1
------> Equation 2
We can use either Elimination or Substitution method. Let's try the substitution method
Rearranging equation one to get
and substitute into equation 2, gives
We can use either equation one or equation to work out
The price of one pen is $0.85
The price of one pencil is $0.32
We can use either Elimination or Substitution method. Let's try the substitution method
Rearranging equation one to get
We can use either equation one or equation to work out
The price of one pen is $0.85
The price of one pencil is $0.32