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sattari [20]
3 years ago
9

Does the point (6,3) satisfy the equation y = 4(x – 5)?

Mathematics
1 answer:
Darina [25.2K]3 years ago
5 0

Answer:

No

Step-by-step explanation:

plug (6,3) into the given equation to find out

3 = 4(6-5)

3 = 4(1)

3 = 4

since 3 does not equal 4, the point (6,3) does not satisfy the equation y=4(x-5)

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How many arrangements can be made using 2 letters of the word HYPERBOLAS if no letter is to be used more than once?
alisha [4.7K]

Answer:

90 arrangements

Step-by-step explanation:

Since there are no repititions of letters, there are unique  10 letters in total.

THe number of arrangements would be 2 permutation 10. We need the formula for permutation. That is:

nPr=\frac{n!}{(n-r)!}\\

Now, n = 10 [total] and r is 2, so we have:

nPr=\frac{n!}{(n-r)!}\\\\_{10}P_{2}=\frac{10!}{(10-2)!}\\=\frac{10!}{8!}\\=\frac{10*9*8!}{8!}\\=10*9\\=90

So, there can be 90 arrangements

3 0
3 years ago
a company is offering a job with a salary of $30,000 for the first year and a 5% raise each year after that. if the 5% raise con
Ber [7]
<span>First year is 30,000.
</span><span>Earn 5% raise every year.
</span>Growth factor is 1.05 this sounds a lot like a geometric ratio.

An = A1 × r^(n-1)Sn = A1 × (1 - r^n) / (1-r)<span>n = 40
A1 = 30,000
A40 = $30,000 * 1.05^39 = $201,142.53

S40 = A1 * (1 - 1.05^40) / (1-1.05) which becomes:
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S40 = $3,623,993.227

<span>The individual yearly calculations are shown below: </span>

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Simplify the following expression.
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