Answer: 225
Step-by-step explanation:
Let the total number of pizza made be represented by x.
Therefore, the situation in the question can be written as:
12% × x = 27
12/100 × x = 27
0.12 × x = 27
0.12x = 27
Divide both side by 0.12
0.12x/0.12 = 27/0.12
x = 225
The total pizza made was 225.
Answer:
431.2
Step-by-step explanation:
hope this helps :3
Answer:
mean
Step-by-step explanation:
because its all of the amounts of water added together and divided by the number of different amounts
Answer:
2sin²θ - tan²θ
Step-by-step explanation:
Given
tan²θcos(2θ)
Required
Simplify
We start by simplifying cos(2θ)
cos(2θ) = cos(θ+θ)
From Cosine formula
cos(A+A) = cosAcosA - sinAsinA
cos(A+A) = cos²A - sin²A
By comparison
cos(2θ) = cos(θ+θ)
cos(2θ) = cos²θ - sin²θ ----- equation 1
Recall that cos²θ + sin²θ = 1
Make sin²θ the subject of formula
sin²θ = 1 - cos²θ
Substitute sin²θ = 1 - cos²θ in equation 1
cos(2θ) = cos²θ - (1 - cos²θ)
cos(2θ) = cos²θ - 1 +cos²θ
cos(2θ) = cos²θ + cos²θ - 1
cos(2θ) = 2cos²θ - 1
Substitute 2cos²θ - 1 for cos(2θ) in the given question
tan²θcos(2θ) becomes
tan²θ(2cos²θ - 1)
Open brackets
2cos²θtan²θ - tan²θ
------------------------
Simplify tan²θ
tan²θ = (tanθ)²
Recall that tanθ = sinθ/cosθ
So, we have
tan²θ = (sinθ/cosθ)²
tan²θ = sin²θ/cos²θ
------------------------
Substitute sin²θ/cos²θ for tan²θ
2cos²θtan²θ - tan²θ becomes
2cos²θ(sin²θ/cos²θ) - tan²θ
Open bracket (cos²θ will cancel out cos²θ) to give
2(sin²θ) - tan²θ
2sin²θ - tan²θ
Hence, the simplification of tan²θcos(2θ) is 2sin²θ - tan²θ
Option E is correct
Answer:
<u>Part 1: C. $3,159.30</u>
<u>Part 2. C. –5; –135; –10,935</u>
Step-by-step explanation:
Part 1:
Price of the boat = $ 16,600
Depreciation rate = 14% = 0.14
Time of utilization of the boat = 11 years
Price of the boat after 11 years = Original price * (1 - Depreciation rate)^Time of utilization of the boat
Price of the boat after 11 years = 16,600 * (1 - 0.14)¹¹
Price of the boat after 11 years = 16,600 * 0.1903
<u>Price of the boat after 11 years = $ 3,159.30</u>
Part 2:
Let's find out the first term of the sequence given:
A(1) = -5 * 3¹⁻¹
A(1) = -5 * 1
A(1) = -5
Let's find out the fourth term of the sequence given:
A(4) = -5 * 3⁴⁻¹
A(4) = -5 * 3³
A(4) = -5 * 27
A(4) = -135
Let's find out the eighth term of the sequence given:
A(8) = -5 * 3⁸⁻¹
A(8) = -5 * 3⁷
A(8) = -5 * 2,187
A(8) = -10,935
