That answer would be: %12.5
The indicated sum for the geometric series is 121.5
<h3>How to identify the indicated sum for the
geometric series?</h3>
The series is given as:
162 − 54 + 18 − 6 + .....
Start by calculating the common ratio of the geometric series.
This is calculated using
r = -54/162
Evaluate
r = -1/3
The indicated sum for the geometric series is then calculated as:
S = a(1 - r^n)/1 - r
Substitute the known values in the above equation
S = 162(1 - (-1/3)^7)/1 + 1/3
Evaluate the exponent and the sum
S = 162(1 + 1/2187)/4/3
Evaluate the sum
S = 162(2188/2187)/4/3
Express as products
S = 162 * (2188/2187)* 3/4
Evaluate the product
S = 162 * 547/729
Evaluate the product
S = 121.5
Hence, the indicated sum for the geometric series is 121.5
Read more about geometric series at
brainly.com/question/24643676
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Answer:
Step-by-step explanation:
Lets start by labeling the triangle. Lets say the height is x and the base is x-16.
Next, we know the area of the triangle is 96, so we should make an equation. The area (96) of a triangle is (b*h)/2. So lets substitute.
96=[(x-16)*x]/2
Now, we should simplify the equation. Let us start by moving the /2 to the other side and making it *2.
192=(x-16)*x
Open parenthesis and get
192=x^2-16x
simplify and get
x=24
x is the height so the base must be x-16.
base=8, height=24
The numerator would be 9 because u multiply 3/4 by 3 to get the bottom number to 12 so multiplying 3x3=9
Answer: $205.33
Step-by-step explanation:
We know the original price was $234, during the sale there was a 35% discount, let's found out what that is...
234 * (100% - 35%)
234 * (65%)
234 * (0.65)
= 152.1
After the sale, the price was increased by 35%, remember percentages are out of 100...
100% + 35% = 135%
135% = 1.35
152.1 * 1.35
= $205.33
The price of the camera after the increase is $205.33, I hope this helps!
