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How many sums are​ possible?

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Question

A student has a  style=”color:rgb(0,0,0);”>$ 1 bill comma a $ 20 bill comma a $ 5 bill comma a $ 10 bill comma and a $ 100 bill
$1 bill, a $20 bill, a $5 bill, a $10 bill, and a $100 bill.a. If the student must select at least one​ bill, and the student may select up to all of the​ bills, how many different sums of money could the student​ make?b. In part​ (a), remove the condition​ “student must select at least one​ bill.” How many sums are​ possible?a. The number of possible different​ sums, provided at least one bill must be​ selected, is nothing

 
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How much of each brand should she use?

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Question

A chef is going to use a mixture of two brands of Italian dressing. The first

brand contains 9 % vinegar, and the second brand contains 14% vinegar. The chef wants to make 250 milliliters of a dressing that is 13% vinegar. How much of each brand should she use? 

 
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How much vinegar and how much Italian dressing should she use?

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Question

A chef plans to mix 100% vinegar with

Italian dressing. The Italian dressing contains 16%vinegar. The chef wants to make 210 milliliters of a mixture that contains 48%

 vinegar. How much vinegar and how much Italian dressing should she use? 

 
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The logistic growth model Upper H left parenthesis t

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Question

The logistic growth model Upper H left parenthesis t

right parenthesis equals StartFraction 3000 Over 1 plus 2 e Superscript negative 0.71 t EndFraction

H(t)=30001+2e−0.71t represents the number of families that own a home in a certain small​ (but growing) city t years after 1960

1960.

a right parenthesis

a)

What is the maximum number of families that will own a home in this​ city?

b right parenthesis

b)

How many families owned a home in 1960

1960​?

c right parenthesis

c)

In what year did 1513

1513 families own a​ home?

 
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