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Serggg [28]
3 years ago
7

Todd owes $438.53 on his credit card. He returns two items, one for $49.36 and the other for $52.95. Then he makes purchases of

$32.24 and $33.23. What is the new balance on the card?
Mathematics
1 answer:
jasenka [17]3 years ago
3 0

The new balance is $475.07 Because He starts with $438.53. when he returns both items, it refunds his money ( $438.53 + $49.36 + $52.95 = $540.54) Then he spends money ( $540.54 - $32.24 - $33.23 = $475.07) The answer is $475.07

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If m angle A = (4x + 2) degrees , what is the measure of the complement of angle A ?
Kisachek [45]
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8 times of the eight term of an arithmetic progression is equal to 12 times of the twelfth term. find its first term if the comm
denpristay [2]

Answer:

38

Step-by-step explanation:

We can express the 8th term as x and the 12th term as y.

This would mean that 8x=12y

Because the common difference between terms is -2 and term 8 and term 12 are 4 terms apart, this means that the 12th term is 8 less than the 8th term, so x-8=y

Now we can use this to substitute y with x in the first equation. This would give us:

8x=12(x-8)

Which we can expand and solve:

8x=12x-96

-4x=-96

Therefore x=24

This means the 8th term is 24 and the 12th term is 16 (24-8).

To test if this is correct we can do:

8x24=12x16

Which indeed are equal, both sides multiply to 192.

Now that we have our 8th term, we can find the 1st term, which is 7 terms away, therefore we just add 14 to the 8th term 24. (7x2=14)

24+14=38.

The first term is 38.

Hope this helped!

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3 years ago
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