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Nataliya [291]
3 years ago
10

Pierre inherited S269,100 from his uncle and decided to invest the money. He put part of the

Mathematics
1 answer:
n200080 [17]3 years ago
4 0

Answer:

Pierre invested:

  • $9,000 in money market account
  • $135,050 in stocks
  • $125,050 in the mutual fund

Step-by-step explanation:

A = money market account

B = stocks

C = mutual fund

A + B + C = 269,100

0.031A + 0.04B - 0.02C = 3,180

B = 10,000 + C (we will first replace B)

A + 10,000 + C + C = 269,100

A + 2C = 259,100

0.031A + 0.04(10,000 + C) - 0.02C = 3,180

0.031A + 400 + 0.04C - 0.02C = 3,180

0.031A + 0.02C = 2,780

A + 2C = 259,100

-100(0.031A + 0.02C) = -100 · 2,780

A + 2C = 259,100

-3.1A - 2C = -278,000

-2.1A = -18,900

A = -18,900 / -2.1 = $9,000

C = (259,100 - 9,000) / 2 = $125,050

B = $125,050 + $10,000 = $135,050

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2 years ago
A man drove his car at 80km per hr for 1 and a quarter hrs .He rested for 45mins and then covered 240km, at the same time. Calcu
prisoha [69]

Answer:

Probably 128 km/h, but maybe 98.5 km/h. See below.

Step-by-step explanation:

What does "at the same time" mean?

If it means that he covered the 240 km in the same time as he convered the 80 km, then this is how you solve it:

80 km in 1.25 hour

240 km in 1.25 hour

Total distance: 80 km + 240 km = 320 km

Total time: 1.25 hour + 1.25 hour = 2.5 hour

average speed = (total distance)/(total time) = 320 km / 2.5 hour = 128 km/h

If it means he covered the 240 km in the same time he covered the 80 km plus the rest, then this is how you solve it:

80 km in 1.25 hour

240 km in 1.25 hour + 45 min = 240 km in 1.25 houir + 0.75 hour = 240 km in 2 hour

Total distance: 80 km + 240 km = 320 km

Total time: 1.25 hour + 2 hour = 3.25 hour

average speed = (total distance)/(total time) = 320 km / 3.25 hour = 98.5 km/h

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2 years ago
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Answer:

Step-by-step explanation:

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Example: Subtract 3x - 2 from 4x + 2

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4) Polynomial is not closed under multiplication. In division, we may get a negative exponent. So, it is not closed under division.

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Step-by-step explanation:

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