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strojnjashka [21]
2 years ago
5

During the first year of opening his law firm, a lawyer served 46 clients. In the second year, his number of clients grew to 62.

If a linear trend continues, write an equation that gives the number of clients c the lawyer will have t years after beginning his firm.
Mathematics
1 answer:
dimulka [17.4K]2 years ago
6 0

Answer:

There were 3 associates and 5 partners in the case.

Since a law firm is going to designate associates and partners to a big new case, and the daily rate charged to the client for each associate (A) is $ 500 and the daily rate for each partner (P) is $ 1000, and the law firm assigned a total of 8 lawyers to the case and was able to charge the client $ 6500 per day for these lawyers' services, to determine the equation that represents the total number of lawyers on the case, and to effectively determine these numbers, the following calculations must be made:

A + P = 8

500A + 1000P = 6500

1000 x 8 = 8000

8000 - 6500 = 1500

1500/500 = 3

3 x 500 + 5 x 1000 = 6500

Therefore, there were 3 associates and 5 partners in the case.

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Which of the following sets of lengths could not be the side lengths of a triangle?
docker41 [41]
To find out if the three side lengths can create a triangle, the three smaller lengths must be greater than the longer length.

\bf~Option~A

\sf~3~meters,5~meters,7~meters

\sf3+5=8>7

So this can create a triangle.

\bf~Option~B

\sf1~yard,1.25~yards,1.5~yards

\sf1+1.25=2.25>1.5

So this can create a triangle.

\bf~Option~C

\sf5~inches,10.5~inches,17~inches

\boxed{\sf5+10.5=15.5

So this cannot create a triangle.

\bf~Option~D

\sf15~millimeters,18~millimeters,30~millimeters

\sf15+18=33>30

So this can create a triangle.

Therefore, your answer is Option C.
8 0
3 years ago
Seven is reading a book while on vacation. So far, he has read 1/6 of the book. He wants to finish 3/6 of the book by the end of
SOVA2 [1]

Answer:

She has to read 2/6 more by the end of her vacation if she wants to finish 3/6 (1/2) of the book.

Step-by-step explanation:

If this wasn't the answer you were looking for please tell me so I can redo it.

4 0
3 years ago
Read 2 more answers
Need help<br> Question in the screenshot below<br> NO spam<br> Please show your work
Alja [10]
<h3>Answer:   x = 6</h3>

======================================================

Work Shown:

\log_{4}(x+10)+\log_{4}(x-2)=\log_{4}(64)\\\\\log_{4}\left((x+10)(x-2)\right)=\log_{4}(64)\\\\(x+10)(x-2)=64\\\\x^2-2x+10x-20=64\\\\x^2-2x+10x-20-64=0\\\\

x^2+8x-84=0\\\\(x+14)(x-6)=0\\\\x+14=0 \ \text{ or } \ x-6=0\\\\x=-14 \ \text{ or } \ x=6\\\\

Those are the possible solutions, but plugging x = -14 back into the original equation will lead to an error. So we rule x = -14 out

x = 6 works as a solution however

3 0
3 years ago
A number is multiplied by 16, and that product is added to 8. The sum is equal to the product of 4 and 10. Find the number.
Ymorist [56]

Your sum is 4 times 10, or 40. We want to end up with 40. Subtract 8 because you added 8 before to work backwards. You get 32. Divide by 16 because the opposite of multiplication is division. You would get 2.

5 0
3 years ago
Suppose f(x) is continuous on [2,8] and −4≤f′(x)≤5 for all x in (2,8). Use the Mean Value Theorem to estimate f(8)−f(2).
bazaltina [42]
<span>2≤x≤8</span> <span>−4≤<span>f′</span>(x)≤5</span> f is continuous in differentable on [2,8] so we know there is c btw 2 and 8 such that <span><span>f′</span>(c)=<span><span>f(8)−f(2)</span><span>/8−2</span></span></span> And we know <span>−4≤<span>f′</span>(c)≤5</span> => we have <span>−4≤ <span><span>f(8)−f(2)</span><span>/8−2</span></span> ≤<span>5</span></span>
6 0
3 years ago
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