3 years ago

What is the nth term of the sequence 3 , 4.5 , 6 , 7.5

Mathematics

1 answer:

Alisiya [41]3 years ago

6 0

Nx1.5+1.5

+1.5 +1.5 +1.5
3, 4.5, 6, 7.5

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2 years ago

Solve the equation<br> (k-1)^3/2 -3 =61

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2 years ago

Solve the equation log(10-4x) = log(10-3x)

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2 years ago

A law firm is going to designate associates and partners to a big new case. The daily rate charged to the client for each associ

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Answer:

The system of equations representing the situation are

$600a+1200p = 15,000$

$a+p = 16$

with solutions

$p =9$

$a = 7$

Step-by-step explanation:

Let us call $a$ the number of associates and $p$ the number of partners. If each associate costs $600 and each partner costs $1200, and it cost the law firm a total of $15,000, then we have

$600a+1200p = 15,000$ .

Since the law firm assigned at total of 16 lawyers, we have

$a+p = 16$ .

Thus, the system of equations representing the situation are

$600a+1200p = 15,000$

$a+p = 16$

And the solution to this system is found by solving for $a$ in the second equation and substituting its value in the first equation:

$a = 16-p$

$600(16-p)+1200p = 15,000$

$9600-600p+1200p=15,000$

$9600+600p=15,000$

$600p=5400$

$\boxed{ p=9}$

We put this value into $a+p = 16$ and solve for $a:$

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$\boxed{a = 7}$

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2 years ago

Brayden is working two summer jobs, making $21 per hour tutoring and making $10 per hour landscaping. In a given week, he can wo

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Answer:

I'm pretty sure it's 5 hours tutoring and 7 hours landscaping.

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2 years ago