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vampirchik [111]
1 year ago
11

32) The cost of mailing a first-class letter is $.22 for the first ounce and $.17 for each additional ounce or fraction

Mathematics
1 answer:
masya89 [10]1 year ago
3 0
Answer is $1.31
Step by step
We know total weight is 7.4 ounce
The first ounce is $.22
That leaves 6.4 ounces to pay for at $.17 per ounce
6.4 x .17 = 1.088 round to $1.09
Add $1.09 + $.22 = $1.31
You don’t have that choice listed
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For an arithmetic sequence, a35=57. If the common difference is 5. Find a1 and the sum of the first 61 terms.
Flauer [41]

 

\displaystyle\bf\\a_{35}=57\\r=5\\----\\a_1=?\\S_{61}=?\\----\\Solve:\\1)\\a_1=a_{35}-(35-1)\times r=57-34\times 5=57-170=-113\\\boxed{\bf a_1=-113}\\\\

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\displaystyle\bf\\2)\\A_{61}=a_1+(61-1)\times r=-113+60\times5=-113+300=187\\\\S_{61}=(-113)+(-108)+(-103)+...+(-8)+(-3)+2+7+12+...+187\\\\S_{61}=SA+SB\\\\SA=(-113)+(-108)+(-103)+...+(-8)+(-3)=-(3+8+103+108+113)\\\\n=\frac{113-8}{5}+1=\frac{105}{5}+1=21+1=22~terms\\SA=-\Big( \frac{n(113+3)}{2} \Big)=-\Big( \frac{22\times116}{2} \Big)=-11\times116 =-1276

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\displaystyle\bf\\SB=2+7+12+...+187\\\\n=\frac{187-2}{5}+1=\frac{185}{5}+1=37+1=38~terms\\\\SB=\frac{n(187+2)}{2}=\frac{38\times189}{2}=19\times189=3591\\\\S_{61}=SA+SB=-1276+3591=2315\\\\\boxed{\bf S_{61}=2315}    

 

 

8 0
3 years ago
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3 years ago
A door to a playhouse is 50 inches tall. Which of the following is another measure equal to the height?
sashaice [31]

Answer:

A. 4 ft 2 in.

Step-by-step explanation:

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8 0
3 years ago
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