At a competition with 5 runners, 5 medals are awarded for first place throughfifth place. Each medal is different. How many ways are there to award the
medals?
Decide if the situation involves a permutation or a combination, and then find
the number of ways to award the medals.
Answers
Answer: Permutation; number of ways = 120
Step-by-step explanation:
Answer with explanation:
Number of runner= 5
Number of Distinct Medal = 5
First Medal can be Awarded in 5 ways, second Medal can be awarded in 4 ways and third Medal can be awarded in 3 ways , fourth medal can be awarded in 2 ways and fifth Medal can be awarded in one way.
So, total number of ways =5 × 4×3×2×1=120 way
⇒We will use the concept of Permutation as there are five distinct medal and five different runners
So, Five distinct places can be filled in 5! or ways as order of arrangement is Important because any of the five candidates can win first second, third , fourth or fifth Prize.
= 5!=5×4×3×2×1=120 ways
Because, n!=n×(n-1)×(n-2)×........1.
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A for-profit institution that works with the general public to open and manage savings accounts is known as a(n) _____
Answers
Answer:
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Mikah's assets increased by $1,300.
b.
Mikah's assets increased by $1,500.
c.
Mikah's assets increased by $1,600.
d.
Mikah's assets increased by $1,800.
Answers
Mikah's assets increased by $1,300 option (a) Mikah's assets increased by $1,300. is correct.
What is future value?
Based on an estimated growth rate, the future value is the amount that an asset will be valued at a future date. The computation assumes that at the start date, a fixed amount of cash is made available for investment and that it increases at a constant rate until the selected future date.
It is given that:
Mikah buys a new plasma television that is valued at $1,800.
He takes $300 from his savings account to use as a down payment and finances the rest.
As we know,
Net increase in asset = Purchase value of television − Value used from
savings account
Net increase in asset = $1600 - $300
Net increase in asset = $1300
Thus, Mikah's assets increased by $1,300 option (a) Mikah's assets increased by $1,300. is correct.
Learn more about the future value here:
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Answer: Correct answer is B.
just took the test
Answers
12348 times 0.66666666667
8231.99999999
(sorry all the never ending numbers. hoped it helped :) )
Answers
57
Kate is selling bracelets and earrings on Etsy to make money for summer vacation. The
bracelets (x) cost $2 and earrings (y) cost $3. She needs to make at least $100, but can
only make up to 40 pieces of jewelry. Which inequalities represent this situation?
2x + 3y > 100
x + y = 40
100x + 2y = 3
x + y = 40
100x + 40y > 100
3x + 2y = 40
3x + 2y > 100
x + y = 40
Answers
Answer:
2x + 3y > 100
x + y = 40
Step-by-step explanation:
This is the answer because it shows the price of each and the combined products equaling more than 100 dollars, and the bottom one shows that the combined total of jewelry can not exceed 40 pieces.
Final answer:
The inequalities that represent Kate's situation are 2x + 3y > 100 and x + y ≤ 40.
Explanation:
In this situation, we can use the inequalities 2x + 3y > 100 and x + y ≤ 40 to represent Kate's goal of making at least $100 and making up to 40 pieces of jewelry. The inequality 2x + 3y > 100 ensures that the total cost of the bracelets and earrings is greater than $100, and the inequality x + y ≤ 40 guarantees that the total number of jewelry pieces is not more than 40.
Learn more about Inequalities in a Situation
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