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aalyn [17]
2 years ago
13

A high school is having a talent contest and will give different prizes for the best 5 acts in the show. First place wins the mo

st money, and each place after that wins $50 less than the previous place. Part A Create a model that can be used to determine the total amount of prize money based on the value of the first place prize Enter your model in the box provided. ​
Mathematics
1 answer:
horsena [70]2 years ago
5 0

The model that can be used to determine the total amount of prize money based on the value of the first place prize is as follows;

Total amount of price money = 5x - 500

The prices are given to the best 5 acts. The first place wins the most money and each place after that wins $50 less than the previous place. The pattern follows a sequence.

<h3>What is a Sequence?</h3>

Sequence  is a list of things (usually numbers) that are in order. Therefore,

let

the first price = x

The common difference of the sequence would be - 50.

To create a model that can be used to determine the total amount of prize money based on the value of the first place prize can be done as follows;

  • x , x - 50, x - 100, x - 150, x - 200

Therefore,

Total amount of price money = x + x - 50 + x - 100 + x - 150 +  x - 200

Total amount of price money = 5x - 500

learn more on model here: brainly.com/question/2400667

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Answer:

12

Step-by-step explanation:

469.75-10.75 =

459 ÷ 38.25 =

12

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Help The area of a square
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Answer:

2551\dfrac{1}{2}

Step-by-step explanation:

\bf l = 20\dfrac{\sf 1}{4} \ in = \dfrac{81}{4} \ in

\bf w = 10\dfrac{1}{2} = \dfrac{21}{2} \ in\\\\\\h = 12 \ in

Volume of rectangular prism = l*w*h

                                                 = \dfrac{81}{4}*\dfrac{21}{2}*12\\\\\\= 81 *\dfrac{21}{2}*3\\\\\\= \dfrac{5103}{2}\\\\\\= 2551 \dfrac{1}{2} \ cubic \ inches

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Answer: Hmm I don't know that you're an actor and hey u can report them if they leaked your phone number  

Step-by-step explanation:

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Describe how to find the least common multiple of three numbers
notka56 [123]
Find all the prime factors of the three numbers. pick up the common factors, ONCE, then pick up the non-common factors one by one, multiply the factors, the product is the least common factor.
example: the least common multiple of 6, 8, and 15
6=2*3
8=2*2*2
15=3*5
Note: do not write 8 into 4*2, because 4 is not a prime number. you have to break the number down to prime factors only. 
Notice that 6 and 8 have a common factor 2, so pick up the 2;
 6 and 15 have a common factor of 3, so pick up the 3.
those are the only two shared factors, so 2×3
now pick up whatever is not shared:
the two 2s for 8 and the 5 for 15 is not shared, add 2, 2, and 5 to the multiplication: 2×3×2×2×5=120
120 is the least common multiples of 6,8, and 15

this is basically how it is done. I believe you can explain better in your own words. 

3 0
3 years ago
James has a job with a current salary of $42,000. He wants to earn a college degree that will take him 2 years to complete and i
FinnZ [79.3K]

To recover the investment James will take \boxed{2.5{\text{ years}}}.

Further Explanation:

Given:

The current salary of James is \$ 42000.

The time taken to complete the college degree is 2{\text{ years}}.

The cost of the college degree is \$ 28000.

The James’ new salary after college degree will be \$ 56000.

Calculation:

The total investment of James can be calculated as follows,

\begin{aligned}{\text{Investment}} &= {\text{Salary of 2 years}} + {\text{2 years tuition fees}} \\&= 2 \times 42000 + 2 \times 28000\\&= 84000 + 56000\\&= \$ 140000\\\end{aligned}

The total investment for 2 years will be \$ 140000.

The James’ new salary after college degree will be \$ 56000.

The time taken by James to recover \$ 140000.

\begin{aligned}{\text{Time}} &= \frac{{140000}}{{56000}}\\&= 2.5{\text{ years}}\\\end{aligned}

To recover the investment James will take \boxed{2.5{\text{ years}}}.

Learn more:

  1. Learn more about inverse of the function brainly.com/question/1632445
  2. Learn more about range and domain of the function brainly.com/question/3412497
  3. Learn more about profit and loss brainly.com/question/2479097

Answer details:

Grade: High School

Subject: Mathematics

Chapter: Investment and return

Keywords: James, job, current salary, salary, $42000, earn, college, college degree, 2 years, complete, graduation, cost, $28000, per year, investment, recover, new salary, work, able, school, full time.

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