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Molodets [167]
3 years ago
14

The ratio of isabellas money to shanes money is 3:11. If isabella has $33, how much money do Shane and Isabella have together?

Mathematics
1 answer:
solong [7]3 years ago
4 0
The ratio of Isabella’s money to Shane’s money is 3:11

Isabella has $33.   

We can make a proportion to solve for how much money Shane has.   
A proportion is two ratios that are set equal to each other.  

Let’s call Shane’s money ‘S’   

We get this proportion:   3/11 = 33/x   

If we cross multiply we get:   
(33) * (11) = (3) * (x)   

Simplifying it, we get:
363 = (3) * (x)   

Divide both sides by 3, we get:
x = 121   

However, the question asks how much money they have together. 

Isabella + Shane = Total
33 + 121 = $154   

<span>They have $154 together.</span>
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Step-by-step explanation:

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3 years ago
Sofia invests her money in an account paying 7% interest compounded semiannually. What is the effective annual yield on this acc
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Answer:

7.12

Step-by-step explanation:

The formula for the effective annual yield is given as:

i = ( 1 + r/m)^m - 1

Where

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m= compounding frequency = semi annually = 2

i = ( 1 + 0.07/2)² - 1

i = (1 + 0.035)² - 1

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0.071225 × 100

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4 0
3 years ago
In studying the insurance preferences of homeowners the following conclusions are made: A homeowner is three times as likely to
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Answer:

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Step-by-step explanation:

Given that a homeowner is three times as likely to purchase additional jewelry coverage as additional electronics coverage

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This is given as 0.2

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3 years ago
The weights of five grapefruits are 7 47 ounces, 7.23 ounces, 6.46 ounces, 7.48 ounces, and 6.81 ounces. Using the
gulaghasi [49]

Answer:

<u>The approximate total weight of the grapefruits, using the clustering estimation technique is B. 35 ounces.</u>

Step-by-step explanation:

We notice that the weights of the grapefruits given are slightly down or above 7, then we will use <em>7 as our cluster</em> for the estimation, as follows:

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7.23  ⇒ 7

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6.81  ⇒ 7

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3 years ago
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