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Helga [31]
2 years ago
10

Ashlyn needs to bring a dessert to her dinner party. If the bakery has eight pies to choose from, how many ways can Ashlyn choos

e three?
Mathematics
1 answer:
Snowcat [4.5K]2 years ago
8 0

<u>Ashely have </u><u>56 ways</u><u> to choose from</u>

This question can be solved using a system in mathematics called Permutation and it's in a topic of mathematics called combinatorics.

<h3 /><h3>Permutation</h3>

This is the process of arranging a particular set of data in different ways.

Since Ashely is choosing 3 desserts out of 8 in no specific ways

P=\frac{n!}{(n-r)!}

Where n = total number of ways available

r = total numbers that would be selected.

Data given

  • n = 8
  • r = 3

Let's substitute these values into the equation.

P=\frac{8!}{(8-3)!3!} \\P=\frac{8*7*6*5*4*3*2*1}{5*4*3*2*1*3*2*1}\\P=56

From the calculation above, Ashley have 56 ways in which can choose 3 dessert from an 8 choice.

Learn more about permutation here;

brainly.com/question/11871015

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Dominic considers buying 2 points on a 25-year, fixed rate mortgage for $187,600. His interest rate will be 5.45% if he does not
algol [13]

Answer:

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Step-by-step explanation:

Here is what the question is asking.  If Dominic buys 2 points (2% of the loan value) he will get a better rate and hence less payment.  The question is asking how long will it take him to save the initial investment of 2% of the loan value due to a smaller payment.  The monthly payment at 5.45% is  $1,146.43,  the monthly payment for 5.2% is  $1,118.66.  This is a difference of  $27.77 per month.  The 2 points will cost him  $3,752.00.  The question is asking how long will it take Dominic to re-coup his  $3,752.00 if he saves $27.77 per month.  Just divide the 2 numbers and you get  135.10 months.  If you divide that by 12 you get 11.26 years, which is roughly 11 years, 4 months.

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3 years ago
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