Jacqueline is ordering pizzas for a party. Each pizza is cut into 12 slices. Jacqueline wants to have enough pizza so each perso
1 answer:
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Answer:
see explanation
Step-by-step explanation:
(4)
consider the left side
factor the numerator
cosx - cos³x = cosx(1 - cos²x)
cancel sinx on numerator/denominator
= cosxsinx =right side ⇒ verified
(5)
Consider the left side
expand the factors
(1 + cotΘ)² + (1 - cotΘ)²
= 1 + 2cotΘ + cot²Θ + 1 - 2cotΘ + cot²Θ
= 2 + 2cot²Θ
= 2(1 + cot²Θ) ← 1 + cot²Θ = cosec²Θ
= 2cosec²Θ = right side ⇒ verified
(6)
Consider the left side
the denominator simplifies to
cosxtanx = cosx × = sinx
= sinx( +
)
= +
= tanx + 1 = right side ⇒ verified
Answer:
The monthly payment for the loan amount for 20 years is $806.167
Step-by-step explanation:
The principal loan amount= $ 50,000
The rate of interest = 7 %
the time period of loan = 20 years = 20 × 12 = 240 months
let the amount after 20 years = $ A
<u>From Compounded method</u>
Amount = Principal ×
or, A = 50,000 ×
or, A = 50,000 ×
Or, A = 50,000 × 3.8696
∴ Amount = $ 193,480
So, The amount after 20 years = $ 193,480
The monthly payment amount = $ = $ 806.167
Hence The monthly payment for the loan amount for 20 years is $806.167 Answer