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Nitella [24]
2 years ago
10

Joaquin and Trisha are playing a game in which the lower median wins the game. Their scores are shown below. Joaquin’s scores: 7

5, 72, 85, 62, 58, 91 Trisha’s scores: 92, 90, 55, 76, 91, 74 Which supports the conclusion that Joaquin won the game? Joaquin won because the median of his scores is 73. 5 and the median of Trisha’s scores is 83. Joaquin won because the median of his scores is 83 and the median of Trisha’s scores is 73. 5. Trisha won because the median of her scores is 73. 5 and the median of Joaquin’s scores is 83. Trisha won because the median of her scores is 83 and the median of Joaquin’s scores is 73. 5.
Mathematics
1 answer:
ioda2 years ago
6 0

The conclusion that supports that Joaquin wins the game is:

Joaquin won because the median of his scores is 73.5 and the median of Trisha’s scores is 83.

<h3>What is the median of a dataset?</h3>

In a data set involving an array of numbers, the median is usually the middle number after the data sets are arranged in order of magnitude from the lowest to the highest.

From the given information:

  • Joaquin’s scores: 75, 72, 85, 62, 58, 91
  • Trisha’s scores: 92, 90, 55, 76, 91, 74

Now, by rearranging the array of numbers, we have:

  • Joaquin’s scores: 58, 62, 72, 75, 85, 91
  • Trisha’s scores: 55, 74, 76, 90, 91, 92
  • The median score of Joaquin is = (72 + 75)/2 = 73.5
  • The median score of Trisha is = (76 + 90)/2 = 83

Therefore, we can conclude that Joaquin won because the median of his scores is 73.5 and the median of Trisha’s scores is 83.

Learn more about the median of a data set here:

brainly.com/question/23962563

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Answer:

a. They will need $90,000.00 for the down payment

b. The mortgage amount (principal) will be $360,000.00

c. The monthly principal payment will be $1,500,00

   The monthly interest payment will be $634.40

d. The total interest they will pay: $152,256.00

Step-by-step explanation:

house price= $450,000

down payment = 20%

20-year mortgage

Interest rate= 3.75%

a. How much they will need for the down payment?

The down payment (DoP) is 20% of the house price

DoP= 20% de $450,000

DoP= 0.20*450,000

DoP= $90,000

b. What will be the mortagage amount (the principal)?

The mortgage amount (MoA) (principal) is the difference between the house price and the down payment.

MoA= $450,000 - $90,000

MoA= $360,000

c. How much will their monthly payment be for the principal and interest?

This equation represents the monthly payment (M):

M=P \frac{r(1+r)^{n} }{(1+r)^{n}-1}

where

P= the principal = $360,000

r= monthly interest rate = 3,75% divided by 12 = 0,31%

n= number of payments = 20 years multiplied by 12 months = 240

Let´s input these data into the equation:

M= 360,000\frac{0.0031(1+0.0031)^{240} }{(1+0.0031)^{240} -1}

M= 360,000\frac{0.0031(1.0031)^{240} }{(1.0031)^{240} -1}

Solving the equation:

M= $2,134.40

the principal component of this M would be

$360,000 divided by the 240 months

So, the principal component of M = $1,500.00

And the interest component of M is the difference

$2,134.40 - $1,500.00

So, the interest component of M = $634.40

d. How much total interest will they pay if they take the full 20 years to pay off the mortgage?

With every payment, they will be paying:

$634.40 per month, multiplied by 240 months

The total interest will be $152,256.00

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