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3 years ago

6

if a lawyer bills $350/hour, how much does he makes every second? how much does he make per year? assume he works 50 hours per w

eek, 48 weeks per year.

1 answer:

serg [7]3 years ago

5 0

5.83 every second, and 840000 a year.

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Find the sum of the first 17 terms of the arithmetic sequence 10, 14, 18, 22, 26...

kari74 [83]

10, 14, 18 ....

notice, we get the next term by simply adding 4 to the current term, thus "4" is the "common difference, and we know that 10 is the first term.

$\bf n^{th}\textit{ term of an arithmetic sequence}
\\\\
a_n=a_1+(n-1)d\qquad 
\begin{cases}
n=n^{th}\ term\\
a_1=\textit{first term's value}\\
d=\textit{common difference}\\
----------\\
a_1=10\\
d=4\\
n=17
\end{cases}
\\\\\\
a_{17}=10+(17-1)(4)\implies a_{17}=10+(16)(4)
\\\\\\
a_{17}=10+64\implies a_{17}=74\\\\
-------------------------------$

$\bf \textit{ sum of a finite arithmetic sequence}
\\\\
S_n=\cfrac{n(a_1+a_n)}{2}\qquad 
\begin{cases}
n=n^{th}\ term\\
a_1=\textit{first term's value}\\
----------\\
a_1=10\\
a_{17}=74\\
n=17
\end{cases}
\\\\\\
S_{17}=\cfrac{17(10+74)}{2}\implies S_{17}=\cfrac{17(84)}{2}\implies S_{17}=714$

6 0

2 years ago

Read 2 more answers

Which function defines the sequence -16,-22,-28,-34 where f(10)= -70

-Dominant- [34]

Answer:

f(n) = -6n - 10.

Step-by-step explanation:

This is arithmetic sequence with first term a1 = -16 and common difference d = -6.

So f(n) = a1 + d(n - 1)

= -16 - 6(n - 1)

= -16 - 6n + 6

= -6n - 10.

Checking:

f(10) = -6(10) - 10 = -70.

5 0

2 years ago

Four doughnuts and 4 coffees cost $12. The cost of the 4 coffees is half the cost of the 4 doughnuts. What is the cost of each c

tangare [24]

The cost of each coffee is $1.05

8 0

3 years ago

What is the value of (−12)3? Question 1 options: 16 −16 18 −18<br>PLZ ANSWER ASAP

Lisa [10]

The value of (-12)3 is -36

5 0

3 years ago

My answer was 16, so i thought as a fraction it would 16/100, but i think its 1/6 in the correct way, i dont really know.

larisa [96]

Answer: You're right.

Step-by-step explanation: There are only 6 parts to a die. so the change of landing on 6 would be 1/6, bc there's only 1-6 once.

4 0

3 years ago