What is the product of 2 (3/4) x 1 (3/5)?
1 answer:
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The Lego is submerged under the oil and therefore, is more dense than the oil
The possible density of the oil is the option;
<u>0.79 g/cm³</u>
Reason:
Given:
The density of Lego = 0.85 g/cm³
Density of oil = Required
Solution:
The density of an object is the mass per unit volume it occupies
Increase in density increases the mass a unit volume occupies, therefore, a
more dense object is heavier than a less dense object such that the less
dense object will float on a dense object
The oil is floating on the Lego, therefore, the Lego is more dense than the
oil, and we have;
- Density of Lego > Density of oil
The density of Lego = 0.85 g/cm³
Therefore;
0.85 g/cm³ > Density of oil
From the given options, the option that has a density less than 0.85 g/cm³ is the the option 0.79 g/cm³
Therefore, the possible density of the oil is <u>0.79 g/cm³</u>
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Answer:
9% fund: $ 210,000
13% fund: $70,000
Step-by-step explanation:
As she wants to have a $28,000 annual return for her $280,000 investment, she is expecting a return rate of 10%:
If we call x the proportion of the capital in the 9% fund, then (1-x) is the proportion of the capital in the 13% fund,and the return of the combination has to be the expected return of 10%:
Then, we know that 75% of the capital should be invested in the 9% fund and 25% in the 13% fund.
This correspond to a capital of:
9% fund: 0.75*$280,000 = $ 210,000
13% fund: 0.25*$280,000 = $70,000