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Answer to Q178:

I am a three-digit number xyz.

y = 4z
x = y-3

What is xyz?

y = 4z (eqn i)

For eqn i to be valid, that means z be only be 0, 1 or 2.
that is because at 3, y becomes 12 (which is not a single digit)

At 0:
z = 0
y = 4 x 0
y = 0
so, z can also not be 0 because y should be 4x larger than z

At 1:
z = 1
y = 4 x 1
y = 4
and x = y - 3
x = 4 - 3
x = 1

xyz = 141

At 2:
z = 2
y = 4 x 2
y = 8
and x = y - 3
x = 8 - 3
x = 5

xyz = 583

Answer 141 or 583
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Answer to Q178:

I am a three-digit number xyz.

y = 4z
x = y-3

What is xyz?

y = 4z (eqn i)

For eqn i to be valid, that means z be only be 0, 1 or 2.
that is because at 3, y becomes 12 (which is not a single digit)

At 0:
z = 0
y = 4 x 0
y = 0
so, z can also not be 0 because y should be 4x larger than z

At 1:
z = 1
y = 4 x 1
y = 4
and x = y - 3
x = 4 - 3
x = 1

xyz = 141

At 2:
z = 2
y = 4 x 2
y = 8
and x = y - 3
x = 8 - 3
x = 5

xyz = 583

Answer 141 or 583

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A spike in interest rates since the start of the year has accelerated a rotation out of high-growth technology stocks and into value stocks poised to benefit from a reopening of the economy. The Nasdaq has fallen more than 10% over the past month as the Dow has soared to record highs, with a spike in the 10-year US Treasury yield acting as the main catalyst. It recently surged to a cycle high of more than 1.60% after starting the year below 1%. But according to Jim Paulsen, the Leuthold Group's chief investment strategist, rising interest rates do not represent a long-term threat to the stock market. Paulsen expects the 10-year yield to cross 2% by the end of the year. A spike in interest rates and its impact on the stock market depends on the economic backdrop, according to Paulsen. Rising interest rates amid a strengthening economy "may prove no challenge at all for stocks," Paulsen said.

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