Jaymie wants to construct congruent angles with a compass and straightedge, while Annie wants to construct congruent segments wi

Response:

I hope the image provided solves your query

To determine the future value of an initial amount of $845 at an interest rate of 11.3% over 7 years, we will utilize the compound interest formula, which is expressed as:
A=p(1+r/100)^n
where:
A=future value
r=rate=11.3%=0.113
time=7 years
Hence, the future value of the capital will be:
A=845(1+0.113)^7
A=845(1.113)^7
A=$1,787.82 

Response:

24.2 (rounded to the nearest tenth)

Detailed breakdown:

The data type involved is ungrouped

standard deviation =√ [∑ (x-μ)² / n]

average (μ)=∑x/n

           =

          =33.3

For the values 5, 5, 6, 12, 13, 26, 37, 49, 51, 56, 56, 84, the x-μ results will be

                   -28.3, -28.3, -27.3, -21.3, -7.3, 3.7, 15.7,17.7, 22.7,22.7,50.7

Calculating (x-μ)² gives: 800.89, 800.89, 745.29, 453.69, 53.29, 13.69, 246.49, 313.29, 515.29, 515.29, 2570.49

Then, ∑ (x-μ)² results in = 7028.59

Thus, standard deviation = √(7028.59 / 12)

                      =24.2

     

Answer:

Yes, the cost in dollars and the quantity of yogurt are indeed proportional.

The relationship can be expressed as:

Step-by-step explanation:

1. If varies directly with , it can be represented as:

Here, represents the constant of proportionality.

2. We'll calculate the proportionality constant. Given that and , we have:

3. Thus, the equation becomes:

4. Now, we need to verify proportionality. Substituting , which is the quantity of yogurt purchased by Jonah, we should arrive at $0.48:

5. They are indeed directly proportional.

1 product = $65.00
20 products = 65 x 20 = $1300

Sales Tax is 3.5% of $1300 = 0.035 x $1300 = $45.50

Grand total = $1300 + $45.50 = $1345.50

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Response: $1345.50
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