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miskamm [114]
3 years ago
10

Mr. Rodriguez invests half his money in land, a tenth in stocks, and a twentieth in bonds. He puts the remaining $35,000 in his

savings account. What is the total amount of money that mr. Rodriguez saves and invests
Mathematics
1 answer:
AlekseyPX3 years ago
8 0
50% were invested in land, 10% were invested in stocks and 20% were invested in bonds.

Based on this, the total percentage of investments can be calculated as follows:
percentage of investments = 50% + 10% + 20% = 80%

The remaining percentage that was put into a saving account can be calculated as follows:
percentage of money in saving account = 100% - 80% = 20%

Now we know that the remaining is $35,000 represent the 20% of his money.
Assume his total amount of money is m, therefore:
20% x m = 35000
0.2m = 35,000
m = (35,000) / 0.2 = 175,000

Based on this, <span>the total amount of money that Mr. Rodriguez saves and invests is $175,000</span>
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Answer:

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Step-by-step explanation:

You can use x=0 and x=1 to find points that must be on the graph.

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3 years ago
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Researchers recorded the speed of ants on trails in their natural environments. The ants studied, Leptogenys processionalis, all
posledela

This question is Incomplete

Complete Question

Researchers recorded the speed of ants on trails in their natural environments. The ants studied, Leptogenys processionalis, all have the same body size in their adult phase, which made it easy to measure speeds in units of body lengths per second (bl/s). The researchers found that, when traffic is light and not congested, ant speeds vary roughly Normally, with mean 6.20 bl/s and standard deviation 1.58 bl/s. (a) What is the probability that an ant's speed in light traffic is faster than 5 bl/s? You may find Table B useful. (Enter your answer rounded to four decimal places.)

Answer:

0.7762

Step-by-step explanation:

We solve using z score formula

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z = 5 - 6.20/1.58

z = -0.75949

The probability that an ant's speed in light traffic is faster than 5 bl/s is P( x > 5)

Probability value from Z-Table:

P(x<5) = 0.22378

P(x>5) = 1 - P(x<5)

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Approximately to 4 decimal places = 0.7762

The probability that an ant's speed in light traffic is faster than 5 bl/s is 0.7762

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Answer:

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