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Nuetrik [128]
3 years ago
14

Find the first, fourth, and tenth terms of the arithmetic sequence described by the given rule. A(n) = –3 + (n – 1)(–2.2)

Mathematics
1 answer:
Gnesinka [82]3 years ago
7 0
A(n) = a1 + (n - 1) * d
A(n) = -3 + (n - 1) * -2.2
n = term to find
a1 = first term = -3
d = common difference = -2.2

we can already see that the first term is -3 <==

4th term..
A(4) = -3 + (4 - 1) * -2.2
A(4) = -3 + 3(-2.2)
A(4) = -3 - 6.6
A(4) = - 9.6 <== 4th term

10th term...
A(10) = -3 + (10 - 1) * -2.2
A(10) = -3 + 9 * - 2.2
A(10) = -3 - 19.8
A(10) = - 22.8 <===10th term

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saveliy_v [14]
The initial cost is 189.69. It is marked up 30%.

By simple calculations, 

Final cost of the tablet computer = Initial price + 30% of marked price

= 189.69 + (30/100 x 189.69)

This gives us the net value of 245.7. Hence the price of the computer after it's been marked up will be 245.7
6 0
3 years ago
Read 2 more answers
Select the correct answer. Sean and Colleen are raking leaves in their yard. Working together, they can clear the yard of leaves
Lera25 [3.4K]

Answer:

40 minutes

Step-by-step explanation:

Let c represent the number of minutes it would take colleen to finish the job when he is working alone. Hence, it can be represented by the equation:

\frac{1}{c}+\frac{1}{c+20}  =\frac{1}{24} \\\\Finding\ the\ L.C.M\ of\ the\ fraction\ to\ get\ 24c(c+20)\ as\ the\ L.C.M.\\Multiply\ the\ whole\ equation\ by\ 24c(c+20):\\\\\frac{1}{c}(24c(c+20))+\frac{1}{c+20}(24c(c+20))  =\frac{1}{24}(24c(c+20)) \\\\24c+480+24c=c^2+20c\\\\48c+480=c^2+20c\\\\c^2+20c-48c-480=0\\\\c^2-28c-480=0

Solving the quadratic equation to get c gives:

c = -12 and c = 40

Since the time cannot be negative, hence c = 40 minutes.

It would take colleen 40 minutes to clear the yard of leaves alone

6 0
3 years ago
Evaluate the function
siniylev [52]
(3*2)^2-(2*2)+5
36-4+5
=37
8 0
3 years ago
4w+5z=30 solve for w
zepelin [54]

Answer:

w=\frac{30-5z}{4}

Step-by-step explanation:

4w+5z=30\\\\4w+5z-5z=30-5z\\\\4w=30-5z\\\\\frac{4w=30-5z}{4}\\\\\boxed{w=\frac{30-5z}{4}}

Hope this helps.

3 0
3 years ago
21. 13/4 x 42/9 =<br> O<br> A. 132/18<br> B. 64/9<br> O<br> C. 77/18<br> D. 41/6<br> Worth 2 points
ANTONII [103]
Hi! 13/4 X 42/9 = 91/6 or 91/6 ls there any other options to choose from?
4 0
3 years ago
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