1. A number is drawn from the set {1,2,3,4,...,20} Find the probability that
2 answers:
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Answer:
a. Mason's rent will increase by $302.40 next year.
b. Mason's new rent per month next year will be $445.20.
Step-by-step explanation:
The first question is asking us how much Mason's rent will increase next year.
If the contract on Mason's apartment states that his rent will increase by 6% next year, and he is currently paying $420 per month, to calculate the increase of the rent next year, we will first have to multiply $420 by 12 months to calculate how much Mason is paying in rent a year:
Therefore, Mason is currently paying $5040 a year.
With this information, we will now need to calculate 6% of $5040. To calculate 6% of $5040, convert 6% to decimal form, and multiply it by $5040.
<em>6% means 6 per cent/hundred, so it can be represented as:</em>
<em>The fraction </em><em> can be represented as (we're two places behind the decimal, in the hundredths place)</em>:
Now, multiply the decimal form of 6% by $5040:
Therefore, Mason's rent will increase by $302.40 next year.
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To calculate Mason's new rent per month next year, we can divide $302.40 into 12 months to see the rent increase per month, and then add that quotient to Mason's current rent per month, $420:
÷
Now, that we know the rent per month will increase by $25.20 next year, we can add $25.20 to Mason's current rent per month:
Therefore, Mason's new rent per month next year will be $445.20.
Set up a proportion:
The numerator represents fluid ounces of milk, and the denominator represents milligrams of calcium.
Simplify the first fraction to make multiplication easier:
Cross multiply the fractions:
Divide both sides by 135 to get x by itself:
2.1 fluid ounces of milk provide 72.5 milligrams of calcium.
The numerator represents fluid ounces of milk, and the denominator represents milligrams of calcium.
Simplify the first fraction to make multiplication easier:
Cross multiply the fractions:
Divide both sides by 135 to get x by itself:
2.1 fluid ounces of milk provide 72.5 milligrams of calcium.