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algol13
3 years ago
9

Investment a starts with $1000 and increases its value by $80 each week. Investment b starts with $2000 and loses $50 of its val

ue each week.After how many weeks will the two investments have the same value?
Mathematics
1 answer:
just olya [345]3 years ago
6 0
Try guess and check method ( hint : try to find the common multiple of 80 and 50)
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A rectangular pan has a length that is the width. The total area of the pan is 432 in.2. What is the width of the cake pan? A =
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Answer:

Let width = w

length = 4w/3

Area = 432 = length*width = w*4w/3

4w^2/3 = 432

w^2 = 432*3/4 = 324

w = 18

so the width of the cake pan is 18 inches.

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Simplify the expression.<br><br><br><br> A. <br><br> B. <br><br> C. <br><br> D.
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Step-by-step explanation:

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Anwser the following question with explanation
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The contrapositive of a conditional statement is "If an item is not worth five dimes, then it is not worth two quarters.”
balandron [24]
Example of use of terms:
Statement:  If it is far, we take a bus.
Inverse:       If it is not far, we do not take a bus.
Converse:   If we take a bus, it is far.
Contrapositive:  If we do not take a bus, it is not far.

We also know that
1. The inverse of the inverse is the statement itself, and similarly for converse and contrapositive.
2. Only the contrapositive is logically equivalent to the original statement.
This means that the converse and inverse are logically different from the original statement.

Now back to the given statement.
To find the original statement, we find the contrapositive of the contrapositive.
We then find the converse from the original statement, as in the example above.

Original statement
(note that in English, if it is not worth X dollars, means if it is not worth AT LEAST X dollars")
contrapositive of 
<span>
"If an item is not worth five dimes, then it is not worth two quarters.”
is the negation of the converse, which become
"If an item is worth two quarters, then it is worth (at least) five dimes."


The converse of the previous statement is therefore
"If an item is worth (at least) five dimes then it is worth two quarters"

In this particular case, we can also take advantage of the fact that the contrapositive is the negation of the converse.  So all we have to do is the provide the negation of each component of the contrapositive to get the converse:
"If an item is worth (at least) five dimes, then it is worth two quarters".
as before.

Note that the converse does NOT logically mean the same as the original statement.

</span>
6 0
3 years ago
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