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Lance invited 36 people to his party.
<u>Step-by-step explanation:</u>
It is given that,
- Lance bought 12 quarts of lemonade.
- Everyone who came to his party could have exactly 1/3 quart.
We know that,
The total quarts of lemonade available for the party = 12
Each person in the party consumes = 1/3 quart.
We need to find out how many people did Lance invited to his party.
<u>To find the number of people :</u>
Let us consider 'x' be the number of people invited to the party.
Total lemonade = number of people × lemonade for each person.
⇒ 12 = x × 1/3
⇒ 12×3 = x
⇒ x = 36 people
Therefore, Lance invited 36 people to his party.
The reciprocal of 1/5 is 5.
Reciprocals are numbers than when multiplied equal a product of 1. In this question, 1/5 * 5 = 1. An easy trick for finding reciprocals is flipping a fraction.
Hope this helps!!
The total amount of money accrued ( principal and interest ) in 35 years is $570.78.
<h3>What is the total amount accrued?</h3>
The formula for compound interest is expressed as;
A = P( 1 + r/t )^(n×t)
Given the data in the question;
- Principal P = $200
- Rate r = 3% = 3/100 = 0.03
- Compounded monthly n = 12
- Time t = 35
- Amount accrued in 35 years A = ?
Plug the given values into the equation above.
A = P( 1 + r/n )^(n×t)
A = 200( 1 + 0.03/12 )^(12×35)
A = 200( 1 + 0.0025 )^(420)
A = 200( 1.0025 )^(420)
A = 200( 2.85390914 )
A = $570.78
Therefore, the total amount of money accrued ( principal and interest ) in 35 years is $570.78.
Learn more about compound interest here: brainly.com/question/27128740
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