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Natalka [10]
3 years ago
10

Olivia wrapped a string around a circle and found it was 30 mm long. Approximately, what is the radius of this circle

Mathematics
1 answer:
mafiozo [28]3 years ago
8 0

Answer:7.5

Step-by-step explanation: cause I looked it up lol

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Which of the following are exterior angles? Check all that apply.
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Answer:

2, 3, 5, 6

Step-by-step explanation:

because the angles are outside

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Melinda has shown that a function, f(x), increases by 4 for every unit in the domain. What does this prove?
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It proves The function f(x) is an arithmetic sequence.
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Find the measure of each angle.
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Step-by-step explanation:

1. 51 degrees

2. 90 degrees

3. 17 degrees

4. 107 degrees

5. 121 degrees

6. 68 degrees

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Which of the following numbers is a multiple of 6? <br><br> A. 106<br> B. 333<br> C. 424<br> D. 882
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3 years ago
Ana has won a lottery. She was offered two options to receive the award: She can either take it in five installments of $60,000
AleksandrR [38]

Answer:

Results are below.

Step-by-step explanation:

Giving the following information:

She can either take it in five installments of $60,000 annually, starting from now; or she can take a lump-sum of $255,000 now.

<u>First, we determine the value of the 5 installments using a 5% annual compounded rate.</u>

We calculate the future value, and then the present value:

FV= {A*[(1+i)^n-1]}/i

A= annual payments

FV= {60,000*[(1.05^5) - 1]} / 0.05

FV= $331.537.88

PV= FV/(1+i)^n

PV= $259,768.60

At an annual rate of 5% compounded annually, she should choose the five installments instead of the $255,000.

<u>Now, if the annual rate is 6% continuously compounded.</u>

<u>First, we need to calculate the effective interest rate:</u>

r= e^i - 1

r= effective inerest rate

r= e^0.06 - 1

r= 0.0618

FV= {60,000*[(1.0618^5) - 1]} / 0.0618

FV= 339,443.23

PV= 339,443.23/1.0618^5

PV= $251,509.01

At an annual rate of 6% compounded continuously, she should choose the $255,000.

5 0
3 years ago
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