The amount Howie need to pay back at the end of one year, including the interest is $26,000
Given:
Interest rate = 4%
Cost of car = $25,000
Time = 1 year
<em>Amount of interest</em> = Principal × Rate × Time
= 25,000 × 4% × 1
= 25,000 × 0.04 × 1
= $1,000
<em>Amount to be paid </em>= Amount of interest + Cost of car
= 1,000 + 25,000
= $26,000
Therefore, the amount Howie need to pay back at the end of one year, including the interest is $26,000
Learn more about interest rate:
brainly.com/question/1115815
Answer:
2
sec
(θ
) − 2
tan
(
θ
)
Step-by-step explanation:
Answer:
(a) 
(b) Domain: 
<em>(See attachment for graph)</em>
(c) 
Step-by-step explanation:
Given
Solving (a): A function; l in terms of w
All we need to do is make l the subject in
Divide through by 2
Subtract w from both sides
Reorder
Solving (b): The graph
In (a), we have:
Since l and w are the dimensions of the fence, they can't be less than 1
So, the domain of the function can be
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To check this
When 
When 
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<em>See attachment for graph</em>
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Solving (c): Write l as a function 
In (a), we have:
Writing l as a function, we have:
Substitute for l in
becomes
Answer:
D
Step-by-step explanation:
There is a 100% chance that if she picks 3 disk, they are all DVD's since they are all DVD's.
Answer:
5.78×10¹⁵
Step-by-step explanation:
The playlist has 12 songs, and he wants the same number of songs for each genre, so he must pick 4 songs per genre.
The number of ways he can choose 4 country songs (ignoring the order) is ₂₂C₄ = 7315.
The number of ways he can choose 4 reggae songs (ignoring the order) is ₁₁C₄ = 330.
The number of ways he can choose 4 pop songs (ignoring the order) is ₅C₄ = 5.
The total number of combinations is 7315 × 330 × 5 = 1.21×10⁷.
Once he has his 12 songs selected, the number of ways he can arrange them is ₁₂P₁₂ = 12! = 4.79×10⁸.
So the total number of possible playlists is:
(1.21×10⁷) × (4.79×10⁸) = 5.78×10¹⁵
