What is the constant proportionality of y=32x-4
2 answers:
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Answer:
Adrian would make $196000 in his 26th year working.
Step-by-step explanation:
Adrian salary in first year = $66,000
As Adrian is expected to get raises of $5,000 every year going forward.
Here is the sequence of Adrian's raises:
5,000, 10000, 15000, 20000, 25000 .....
As the common difference between consecutive terms is constant.
d = 10000 - 5,000 = 5,000 ⇒ d = 15000 - 10000 = 5,000
So, Adrian's raises is in Arithmetic sequence.
a₁ = 5,000
n = 26
Put n = 26 to get the total amount of salary raises in Adrian's 26th year.
Total raises amount after 26th year = $130000
Adding total raises after 26th year to the initial salary would let us figure out the total salary Adrian would make in his 26th year.
So,
Total Salary after 26th year = initial salary + total raises of 26 years
= 66000 + 130000
= $196000
So, Adrian would make $196000 in his 26th year working.
<em>Keywords: arithmetic sequence, salary, raises, common difference</em>
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Answer:
A) -sqrt(3)/3
Step-by-step explanation:
If you know your unit circle (attached), 11pi/6 has the value of (sqrt(3)/2,-1/2), where the coords are (cosine, sine).
Tangent is sine/cosine:
(-1/2)/(sqrt(3)/2)
We can convert this to multiplication by miltiplying the reciprocal of sqrt(3)/2:
(-1/2)*(2/sqrt(3))
Multiplied out to:
-2/(2sqrt(3))
We have to rationalize this by multiplying the numerator and denominator by sqrt(3):
-2(sqrt(3))/2sqrt(3)(sqrt(3)
two of the same square roots multiplied together equals the number without the sqrt:
-2(sqrt(3))/2*3
we can factor out 2 from the numerator and denominator:
-sqrt(3)/3
Therefore, the answer is A
